From 99e1903b1546726890e628190c9ab9df51a9cabd Mon Sep 17 00:00:00 2001
From: FerrerFerreAlex <32134913+FerrerFerreAlex@users.noreply.github.com>
Date: Wed, 30 Apr 2025 12:17:35 +0200
Subject: [PATCH 01/24] "update With Master"

---
 MathOld/BCApplierOld.m                        |  233 ++
 MathOld/ElasticProblemMicroOld.m              |  235 ++
 .../strainMacro_CircularHole1.vtu             | 2483 ++++++++++++++
 .../strainMacro_CircularHole2.vtu             | 2483 ++++++++++++++
 .../strainMacro_CircularHole3.vtu             | 2483 ++++++++++++++
 .../strainMicro_CircularHole1.vtu             | 2483 ++++++++++++++
 .../strainMicro_CircularHole2.vtu             | 2483 ++++++++++++++
 .../strainMicro_CircularHole3.vtu             | 2483 ++++++++++++++
 .../stressMacro_CircularHole1.vtu             | 2483 ++++++++++++++
 .../stressMacro_CircularHole2.vtu             | 2483 ++++++++++++++
 .../stressMacro_CircularHole3.vtu             | 2483 ++++++++++++++
 .../stressMicro_CircularHole1.vtu             | 2483 ++++++++++++++
 .../stressMicro_CircularHole2.vtu             | 2483 ++++++++++++++
 .../stressMicro_CircularHole3.vtu             | 2483 ++++++++++++++
 .../Mesh with hole/uFun_CircularHole1.vtu     | 2483 ++++++++++++++
 .../Mesh with hole/uFun_CircularHole2.vtu     | 2483 ++++++++++++++
 .../Mesh with hole/uFun_CircularHole3.vtu     | 2483 ++++++++++++++
 .../Whole Mesh/StrainMacro_FullMesh_1.vtu     | 2985 +++++++++++++++++
 .../Whole Mesh/StrainMacro_FullMesh_2.vtu     | 2985 +++++++++++++++++
 .../Whole Mesh/StrainMacro_FullMesh_3.vtu     | 2985 +++++++++++++++++
 .../Whole Mesh/StrainMicro_FullMesh_1.vtu     | 2985 +++++++++++++++++
 .../Whole Mesh/StrainMicro_FullMesh_2.vtu     | 2985 +++++++++++++++++
 .../Whole Mesh/StrainMicro_FullMesh_3.vtu     | 2985 +++++++++++++++++
 .../Whole Mesh/StressMacro_FullMesh_1.vtu     | 2985 +++++++++++++++++
 .../Whole Mesh/StressMacro_FullMesh_2.vtu     | 2985 +++++++++++++++++
 .../Whole Mesh/StressMacro_FullMesh_3.vtu     | 2985 +++++++++++++++++
 .../Whole Mesh/StressMicro_FullMesh1.vtu      | 2985 +++++++++++++++++
 .../Whole Mesh/StressMicro_FullMesh2.vtu      | 2985 +++++++++++++++++
 .../Whole Mesh/StressMicro_FullMesh3.vtu      | 2985 +++++++++++++++++
 .../Whole Mesh/uFun_FullMesh_1.vtu            | 2985 +++++++++++++++++
 .../Whole Mesh/uFun_FullMesh_2.vtu            | 2985 +++++++++++++++++
 .../Whole Mesh/uFun_FullMesh_3.vtu            | 2985 +++++++++++++++++
 MathOld/ProblemSolverOld.m                    |  187 ++
 MathOld/RHSintegrator_ShapeFunctionNOld.m     |   93 +
 .../First results/StrnFluctOrd2_X_1.vtu       | 2483 ++++++++++++++
 .../First results/StrnOrd2_X_1.vtu            | 2483 ++++++++++++++
 .../Second Order/First results/uFOrd2_X_1.vtu | 2483 ++++++++++++++
 37 files changed, 90217 insertions(+)
 create mode 100644 MathOld/BCApplierOld.m
 create mode 100644 MathOld/ElasticProblemMicroOld.m
 create mode 100644 MathOld/First Order/Mesh with hole/strainMacro_CircularHole1.vtu
 create mode 100644 MathOld/First Order/Mesh with hole/strainMacro_CircularHole2.vtu
 create mode 100644 MathOld/First Order/Mesh with hole/strainMacro_CircularHole3.vtu
 create mode 100644 MathOld/First Order/Mesh with hole/strainMicro_CircularHole1.vtu
 create mode 100644 MathOld/First Order/Mesh with hole/strainMicro_CircularHole2.vtu
 create mode 100644 MathOld/First Order/Mesh with hole/strainMicro_CircularHole3.vtu
 create mode 100644 MathOld/First Order/Mesh with hole/stressMacro_CircularHole1.vtu
 create mode 100644 MathOld/First Order/Mesh with hole/stressMacro_CircularHole2.vtu
 create mode 100644 MathOld/First Order/Mesh with hole/stressMacro_CircularHole3.vtu
 create mode 100644 MathOld/First Order/Mesh with hole/stressMicro_CircularHole1.vtu
 create mode 100644 MathOld/First Order/Mesh with hole/stressMicro_CircularHole2.vtu
 create mode 100644 MathOld/First Order/Mesh with hole/stressMicro_CircularHole3.vtu
 create mode 100644 MathOld/First Order/Mesh with hole/uFun_CircularHole1.vtu
 create mode 100644 MathOld/First Order/Mesh with hole/uFun_CircularHole2.vtu
 create mode 100644 MathOld/First Order/Mesh with hole/uFun_CircularHole3.vtu
 create mode 100644 MathOld/First Order/Whole Mesh/StrainMacro_FullMesh_1.vtu
 create mode 100644 MathOld/First Order/Whole Mesh/StrainMacro_FullMesh_2.vtu
 create mode 100644 MathOld/First Order/Whole Mesh/StrainMacro_FullMesh_3.vtu
 create mode 100644 MathOld/First Order/Whole Mesh/StrainMicro_FullMesh_1.vtu
 create mode 100644 MathOld/First Order/Whole Mesh/StrainMicro_FullMesh_2.vtu
 create mode 100644 MathOld/First Order/Whole Mesh/StrainMicro_FullMesh_3.vtu
 create mode 100644 MathOld/First Order/Whole Mesh/StressMacro_FullMesh_1.vtu
 create mode 100644 MathOld/First Order/Whole Mesh/StressMacro_FullMesh_2.vtu
 create mode 100644 MathOld/First Order/Whole Mesh/StressMacro_FullMesh_3.vtu
 create mode 100644 MathOld/First Order/Whole Mesh/StressMicro_FullMesh1.vtu
 create mode 100644 MathOld/First Order/Whole Mesh/StressMicro_FullMesh2.vtu
 create mode 100644 MathOld/First Order/Whole Mesh/StressMicro_FullMesh3.vtu
 create mode 100644 MathOld/First Order/Whole Mesh/uFun_FullMesh_1.vtu
 create mode 100644 MathOld/First Order/Whole Mesh/uFun_FullMesh_2.vtu
 create mode 100644 MathOld/First Order/Whole Mesh/uFun_FullMesh_3.vtu
 create mode 100644 MathOld/ProblemSolverOld.m
 create mode 100644 MathOld/RHSintegrator_ShapeFunctionNOld.m
 create mode 100644 MathOld/Second Order/First results/StrnFluctOrd2_X_1.vtu
 create mode 100644 MathOld/Second Order/First results/StrnOrd2_X_1.vtu
 create mode 100644 MathOld/Second Order/First results/uFOrd2_X_1.vtu

diff --git a/MathOld/BCApplierOld.m b/MathOld/BCApplierOld.m
new file mode 100644
index 0000000000..fbc52ed06d
--- /dev/null
+++ b/MathOld/BCApplierOld.m
@@ -0,0 +1,233 @@
+classdef BCApplier < handle
+
+    % Goal: group dirichlet and neumann conditions
+    % to allow multiple boundary conditions at the same time
+    % Use: BCApplier.computeLinearConditionsMatrix()
+
+    properties (Access = public)
+    end
+
+    properties (Access = private)
+        mesh
+
+        dirichlet_dofs, dirichlet_vals, dirichlet_domain
+        dirichletFun
+        pointload_dofs, pointload_vals
+        pointloadFun
+        periodic_leader, periodic_follower
+    end
+
+    properties (Access = private)
+
+    end
+
+    methods (Access = public)
+
+        function obj = BCApplier(cParams)
+            obj.init(cParams)
+        end
+
+        function Ct = computeLinearConditionsMatrix(obj, order)
+            switch order
+                case 'Dirac'
+                    % generalize lagrange multiplier -> dirac and stuff
+                    dir_dofs = obj.dirichlet_dofs;
+                    nDofs = obj.dirichletFun.nDofs;
+                    nDirich = length(dir_dofs);
+                    Ct = sparse(1:nDirich, dir_dofs, 1, nDirich, nDofs);
+                case 'Analytical'
+                    ndimf  = 2;
+                    displacementFun = LagrangianFunction.create(obj.mesh, ndimf, 'P1'); % !!
+                    bMesh = obj.mesh.createBoundaryMesh();
+                    [boundaryMeshJoined, localGlobalConnecBd] = obj.mesh.createSingleBoundaryMesh();                   
+                    s.quadType = 2;
+                    s.mesh     = boundaryMeshJoined;
+                    lhs    = LHSintegrator_ShapeFunction_fun(s);
+                    test   = LagrangianFunction.create(boundaryMeshJoined, ndimf, 'P1'); % !!
+                   
+                    minx   = min(obj.mesh.coord(:,1));
+                    miny   = min(obj.mesh.coord(:,2));
+                    maxx   = max(obj.mesh.coord(:,1));
+                    maxy   = max(obj.mesh.coord(:,2));
+                    cond   = [maxx, maxy];
+                    k=1;
+                    j=1;
+                    dof    = [1,2];
+                    for i=1:length(bMesh)
+                        x0 = (max(bMesh{i}.mesh.coord(:,1))+ min(bMesh{i}.mesh.coord(:,1)))/2;
+                        y0 = (max(bMesh{i}.mesh.coord(:,2))+ min(bMesh{i}.mesh.coord(:,2)))/2;
+                        if abs(x0-maxx)<1e-6 || abs(y0-maxy)<1e-6
+                            f{k}   = @(x) [(x(dof(j),:,:)==cond(j)).* ones(size(x(1,:,:))) ; ...
+                                            x(2,:,:).*0 ];
+                            f{k+1} = @(x) [x(dof(j),:,:).*0 ;...
+                                          (x(dof(j),:,:)==cond(j)).*ones(size(x(1,:,:))) ];
+                            k=k+2;
+                            j=j+1;
+                        end
+                    end                 
+                    nfun = size(f,2);
+                    Ct = [];
+                    for i=1:nfun
+                        dLambda{i}  = AnalyticalFunction.create(f{i},ndimf,boundaryMeshJoined);
+%                                         dLambda = dLambda.project('P1');
+                        %                 obj.dLambda{i}.plot
+                        Ce = lhs.compute(dLambda{i},test);
+                        Ce = sum(Ce,2);
+                        [iLoc,jLoc,vals] = find(Ce);
+
+                   
+                        l2g_dof = ((localGlobalConnecBd*test.ndimf)' - ((test.ndimf-1):-1:0))';
+                        l2g_dof = l2g_dof(:);
+                        iGlob = l2g_dof(iLoc);
+                        Ct = [Ct sparse(iGlob,jLoc,vals, displacementFun.nDofs, 1)];
+                    end
+
+                otherwise
+                    dir_dom = obj.dirichlet_domain;
+                    [mesh_left2, l2g_mesh] = obj.mesh.getBoundarySubmesh(dir_dom);
+
+                    dLambda = LagrangianFunction.create(mesh_left2, obj.mesh.ndim, order); % !!
+                    uFun    = LagrangianFunction.create(obj.mesh, obj.mesh.ndim, 'P1'); % !!
+
+                    b.mesh  = mesh_left2;
+                    b.test  = dLambda;
+                    b.trial = uFun.restrictTo(dir_dom);
+                    b.type  = 'MassMatrix';
+                    lhs = LHSintegrator.create(b);
+                    LHS = lhs.compute();
+                    [iLoc,jLoc,vals] = find(LHS);
+
+                    l2g_dof = ((l2g_mesh*dLambda.ndimf)' - ((dLambda.ndimf-1):-1:0))';
+                    l2g_dof = l2g_dof(:);
+                    jGlob = l2g_dof(jLoc);
+                    Ct = sparse(iLoc,jGlob,vals, dLambda.nDofs, uFun.nDofs);
+            end
+        end
+
+        function Ct = computeLinearPeriodicConditionsMatrix(obj)
+            per_lead = obj.periodic_leader;
+            per_fllw = obj.periodic_follower;
+            nDofs = obj.dirichletFun.nDofs;
+            nPer = length(per_lead);
+            Ct = sparse([(1:nPer)', (1:nPer)'], [per_lead, per_fllw], [ones(size(per_lead,1),1), -ones(size(per_lead,1),1)], nPer, nDofs); % !!
+        end
+
+        function Ct = computeSingleDirichletPeriodicCondition(obj, iVoigt, nVoigt)
+            per_lead = obj.periodic_leader;
+            per_fllw = obj.periodic_follower;
+            nDofs = obj.dirichletFun.nDofs;
+            % Dirichlet stuff
+            basis   = diag(ones(nVoigt,1));
+            vstrain = basis(iVoigt,:);
+            s.mesh           = obj.mesh;
+            s.dirichlet_dofs = obj.dirichlet_dofs;
+            s.ndofs          = nDofs;
+            s.vstrain        = vstrain;
+            comp = MicroDispMonolithicBCApplier(s);
+            [CtDir, CtDirPer] = comp.getLHSMatrix();
+            % Periodic stuff
+            nDofsPerBorder = length(obj.periodic_leader)/4; % 4 because 2D
+            xx_bottom = 1:nDofsPerBorder;
+            xx_left   = nDofsPerBorder+1 : 2*nDofsPerBorder;
+            yy_bottom = 2*nDofsPerBorder + 1 : 3*nDofsPerBorder;
+            yy_left   = 3*nDofsPerBorder + 1 : 4*nDofsPerBorder;
+            CtPer = sparse([(1:nDofsPerBorder)', (1:nDofsPerBorder)'; ... % xx
+                (nDofsPerBorder+1:2*nDofsPerBorder)', (nDofsPerBorder+1:2*nDofsPerBorder)'; ... % xy
+                (nDofsPerBorder+1:2*nDofsPerBorder)', (nDofsPerBorder+1:2*nDofsPerBorder)'; ... % xy
+                (2*nDofsPerBorder+1:3*nDofsPerBorder)', (2*nDofsPerBorder+1:3*nDofsPerBorder)'; ... % yy
+                ], ...
+                [per_lead(xx_bottom), per_fllw(xx_bottom); ... % xx
+                per_lead(xx_left), per_fllw(xx_left); ... % xy
+                per_lead(yy_bottom), per_fllw(yy_bottom); ... % xy
+                per_lead(yy_left), per_fllw(yy_left) % yy
+                ], ...
+                [ones(length(per_lead),1), -ones(length(per_lead),1); ...
+                ], ...
+                nDofsPerBorder*nVoigt, nDofs);
+            Ct =  [CtPer; CtDirPer; CtDir];
+        end
+
+        function Cv = computeVoluMatrix(obj)
+            ndimf  = 2;
+            %displacementFun = LagrangianFunction.create(obj.mesh, ndimf, 'P1'); % !!
+            s.quadType = 2;
+            s.mesh     = obj.mesh;
+            lhs    = LHSintegrator_ShapeFunction_fun(s);
+            rhs    = RHSintegrator_ShapeFunctionN(s);
+            test   = LagrangianFunction.create(obj.mesh, ndimf, 'P1'); % !!
+
+            f  = @(x) [ones(size(x(1,:,:))) ; ones(size(x(1,:,:)))];
+            dLambda  = AnalyticalFunction.create(f,ndimf,obj.mesh);
+%             Cv = lhs.compute(dLambda,test);
+%             Cv = sum(Cv,2);
+            Cv = -rhs.compute(dLambda,test);
+        end
+
+        function RHSC = computeMicroDisplMonolithicRHS(obj, iVoigt, nVoigt)
+            nDofs = obj.dirichletFun.nDofs;
+            basis   = diag(ones(nVoigt,1));
+            vstrain = basis(iVoigt,:);
+            s.mesh           = obj.mesh;
+            s.dirichlet_dofs = obj.dirichlet_dofs;
+            s.ndofs          = nDofs;
+            s.vstrain        = vstrain;
+            comp = MicroDispMonolithicBCApplier(s);
+            if iVoigt == 1 || iVoigt == 2
+                RHSDir    = zeros(6, 1);
+                RHSDirPer = -ones(2,1);
+            else
+                RHSDir    = zeros(4, 1);
+                RHSDir(3) = 0.5;
+                RHSDir(4) = 0.5;
+                RHSDirPer = -ones(2,1);
+            end
+            zerosRHS = zeros(nDofs,1);
+            nDofsPerBorder = length(obj.periodic_leader)/4; % 4 because 2D
+            per_vec = zeros(nDofsPerBorder*3, 1);
+            per_vec(1:nDofsPerBorder) = -vstrain(1);
+            per_vec(nDofsPerBorder+1:2*nDofsPerBorder) = -vstrain(3);
+            per_vec(2*nDofsPerBorder+1:end) = -vstrain(2);
+            [RHSDir, RHSDirPer] = comp.getRHSVector();
+            RHSC = [zerosRHS; per_vec; RHSDirPer; RHSDir];
+        end
+
+        function rVec = fullToReducedVectorDirichlet(obj,fVec)
+            dofs      = 1:1:obj.dirichletFun.nDofs;
+            free_dofs = setdiff(dofs, obj.dirichlet_dofs);
+            rVec      = fVec(free_dofs);
+        end
+
+        function rMat = fullToReducedMatrixDirichlet(obj,fMat)
+            dofs      = 1:1:obj.dirichletFun.nDofs;
+            free_dofs = setdiff(dofs, obj.dirichlet_dofs);
+            rMat      = fMat(free_dofs,free_dofs);
+        end
+
+        function fVec = reducedToFullVectorDirichlet(obj,rVec)
+            dofs                     = 1:1:obj.dirichletFun.nDofs;
+            free_dofs                = setdiff(dofs, obj.dirichlet_dofs);
+            fVec                     = zeros(obj.dirichletFun.nDofs,1);
+            fVec(free_dofs)          = rVec;
+            fVec(obj.dirichlet_dofs) = obj.dirichlet_vals;
+        end
+    end
+
+    methods (Access = private)
+
+        function init(obj,cParams)
+            inBC = cParams.boundaryConditions;
+            obj.mesh = cParams.mesh;
+            obj.dirichletFun    = inBC.dirichletFun;
+            obj.dirichlet_dofs  = inBC.dirichlet_dofs;
+            obj.dirichlet_vals  = inBC.dirichlet_vals;
+            obj.dirichlet_domain = inBC.dirichlet_domain;
+            obj.pointloadFun    = inBC.pointloadFun;
+            obj.pointload_dofs  = inBC.pointload_dofs;
+            obj.pointload_vals  = inBC.pointload_vals;
+            obj.periodic_leader = inBC.periodic_leader;
+            obj.periodic_follower = inBC.periodic_follower;
+        end
+
+    end
+
+end
\ No newline at end of file
diff --git a/MathOld/ElasticProblemMicroOld.m b/MathOld/ElasticProblemMicroOld.m
new file mode 100644
index 0000000000..b4be9a6b2d
--- /dev/null
+++ b/MathOld/ElasticProblemMicroOld.m
@@ -0,0 +1,235 @@
+classdef ElasticProblemMicro < handle
+    
+    properties (Access = public)
+        uFluc, strain, stress
+        Chomog
+    end
+
+    properties (Access = private)
+        mesh
+        material
+        trialFun
+        boundaryConditions, bcApplier
+        solverType, solverMode, solverCase
+        lagrangeMultipliers
+        problemSolver
+    end
+
+    methods (Access = public)
+
+        function obj = ElasticProblemMicro(cParams)
+            obj.init(cParams);
+            obj.createTrialFun();
+            obj.createBCApplier();
+            obj.createSolver();
+        end
+
+        function obj = solve(obj)
+            LHS = obj.computeLHS();
+            %    oX     = zeros(obj.getDimensions().ndimf,1);
+            nBasis = obj.computeNbasis();
+            obj.Chomog = zeros(nBasis, nBasis);
+            for iB = 1:nBasis
+                strainBase = obj.createDeformationBasis(iB);
+                SndOrderStrainX = obj.createSndOrderDeformationBasis(1,iB);
+                SndOrderStrainY = obj.createSndOrderDeformationBasis(2,iB);
+                RHS      = obj.computeRHS(strainBase,LHS);
+                uF{iB}    = obj.computeDisplacement(LHS,RHS);
+                strnFluc{iB} = SymGrad(uF{iB});
+                str{iB} = obj.computeStrain(strainBase,strnFluc{iB});
+                sigma{iB} = DDP(obj.material, str{iB});
+                sigma{iB}.ndimf = str{iB}.ndimf;
+                Ch(:,iB) = obj.computeChomog(sigma{iB});
+
+                RHSord2  = obj.computeRHS(SndOrderStrainX,LHS);
+                uFord2  = obj.computeDisplacement(LHS,RHSord2);
+                strnFluctord2 = SymGrad(uFord2);
+                strnord2 = obj.computeStrain(SndOrderStrainX,strnFluctord2);
+            end
+            obj.uFluc = uF;
+            obj.strain = str;
+            obj.stress = sigma;
+            obj.Chomog = Ch;
+        end
+
+        function s = createDeformationBasis(obj,iBasis)
+            nBasis = obj.computeNbasis();
+            sV = zeros(nBasis,1);
+            sV(iBasis) = 1;
+            s = ConstantFunction.create(sV,obj.mesh);
+        end
+
+        function s = createSndOrderDeformationBasis(obj,coord,iBasis) % 2nd Order: "etaVec*Ycoord"
+            nBasis = obj.computeNbasis();
+            sV = zeros(nBasis,1);
+            sV(iBasis) = 1;
+            eta = ConstantFunction.create(sV,obj.mesh);
+            Y1  = AnalyticalFunction.create(@(x) x(coord,:,:),1,obj.mesh);
+            s = eta.*Y1;
+            s.ndimf = nBasis;
+        end
+
+        function nBasis = computeNbasis(obj)
+            homogOrder = 1;
+            nDim = obj.mesh.ndim;
+            nBasis = homogOrder*nDim*(nDim+1)/2;
+        end
+
+        function LHS = computeLHS(obj)
+            ndimf = obj.trialFun.ndimf;
+            s.type     = 'ElasticStiffnessMatrix';
+            s.mesh     = obj.mesh;
+            s.test     = LagrangianFunction.create(obj.mesh,ndimf, 'P1');
+            s.trial    = obj.trialFun;
+            s.material = obj.material;
+            s.quadratureOrder = 2;
+            lhs = LHSIntegrator.create(s);
+            LHS = lhs.compute();
+        end
+
+        function v = computeGeometricalVolume(obj)
+            v = 1;%sum(sum(obj.geometry.dvolu));
+        end
+
+        function setMatProps(obj,s)
+           obj.material.compute(s);
+        end
+        
+        function updateMaterial(obj, mat)
+            obj.material = mat;
+        end
+
+        function [fun, funNames] = getFunsToPlot(obj)
+            fun = {obj.uFluc, obj.strain.project('P1'), ...
+                obj.stress.project('P1')};
+            funNames = {'displacement', 'strain', 'stress'};
+        end
+
+    end
+
+    methods (Access = private)
+
+        function init(obj, cParams)
+            obj.mesh     = cParams.mesh;
+            obj.material = cParams.material;
+            obj.solverType = cParams.solverType;
+            obj.solverMode = cParams.solverMode;
+            obj.boundaryConditions = cParams.boundaryConditions;
+            obj.solverCase  = cParams.solverCase;
+        end
+
+        function createTrialFun(obj)
+            obj.trialFun = LagrangianFunction.create(obj.mesh, obj.mesh.ndim, 'P1');
+        end
+
+        function dim = getFunDims(obj)
+            d.ndimf  = obj.trialFun.ndimf;
+            d.nnodes = size(obj.trialFun.fValues, 1);
+            d.ndofs  = d.nnodes*d.ndimf;
+            d.nnodeElem = obj.mesh.nnodeElem; % should come from interp..
+            d.ndofsElem = d.nnodeElem*d.ndimf;
+            dim = d;
+        end
+
+        function createBCApplier(obj)
+            s.mesh = obj.mesh;
+            s.boundaryConditions = obj.boundaryConditions;
+            bc = BCApplier(s);
+            obj.bcApplier = bc;
+        end
+
+        function createSolver(obj)
+            sS.type =  obj.solverCase;
+            solver = Solver.create(sS);
+            s.solverType = obj.solverType;
+            s.solverMode = obj.solverMode;
+            s.solver     = solver;
+            s.boundaryConditions = obj.boundaryConditions;
+            s.BCApplier = obj.bcApplier;
+            obj.problemSolver = ProblemSolver(s);
+        end
+
+        function rhs = computeRHS(obj,strainBase,LHS)
+            s.fun  = obj.trialFun;
+            s.type = 'ElasticMicro';
+            s.dim      = obj.getFunDims();
+            s.BC       = obj.boundaryConditions;
+            s.mesh     = obj.mesh;
+            s.material = obj.material;
+            s.globalConnec = obj.mesh.connec;
+            RHSint = RHSIntegrator.create(s);
+            rhs = RHSint.compute(strainBase);
+            R = RHSint.computeReactions(LHS); %%?
+        end
+
+        function uFun = computeDisplacement(obj, LHS, RHS)
+            s.stiffness = LHS;
+            s.forces    = RHS;
+        %    s.iVoigt    = iVoigt;
+        %    s.nVoigt    = size(obj.forces,2);
+            [u, L]      = obj.problemSolver.solve(s);
+            obj.lagrangeMultipliers = L;
+
+            uSplit = reshape(u,[obj.mesh.ndim,obj.mesh.nnodes])';
+            uFun = copy(obj.trialFun);
+            uFun.setFValues(uSplit);            
+
+            % z.mesh    = obj.mesh;
+            % z.fValues = reshape(u,[obj.mesh.ndim,obj.mesh.nnodes])';
+            % z.order   = 'P1';
+            % uFeFun = LagrangianFunction(z);
+            % obj.uFun{iVoigt} = uFeFun;
+
+          %  uSplit = reshape(u,[obj.mesh.ndim,obj.mesh.nnodes])';
+          %  obj.displacementFun.setFValues(uSplit);
+        end
+
+        function strainFun = computeStrain(obj, strainBase,strainFluc)
+            s.operation    = @(xV) strainBase.evaluate(xV)+strainFluc.evaluate(xV);
+            s.mesh         = obj.mesh;
+            s.ndimf        = size(strainBase,1);
+            strainFun      = DomainFunction(s);
+        end
+
+        %% 
+
+        function Chomog = computeChomog(obj,stress)
+            Chomog = Integrator.compute(stress,obj.mesh,2);
+        end
+
+        function Chomog = computeChomogFromLagrangeMultipliers(obj,iBase)
+           if strcmp(obj.solverMode, 'DISP')
+                L = obj.lagrangeMultipliers;
+                nPeriodic = length(obj.boundaryConditions.periodic_leader);
+                nBorderNod = nPeriodic/4; % cause 2D
+                Lx  = sum( L(1:nBorderNod) );
+                Lxy = sum( L(nBorderNod+1:2*nBorderNod));
+                Ly  = sum( L(2*nBorderNod+1 : 3*nBorderNod));
+                Ld = L(3*nBorderNod+1 : end); % dirich (2 per + 6 dir)
+                switch iBase
+                    case 1
+                        Lx = Lx + Ld(1) + Ld(2) + Ld(3) + Ld(5);
+                        Ly = Ly + Ld(4) + Ld(7);
+                    case 2
+                        Ly = Ly + Ld(1) + Ld(2) + Ld(4) + Ld(6);
+                        Lx = Lx + Ld(3) + Ld(7);
+                    case 3
+                        Lxy = Lxy + Ld(1) + Ld(2);
+                end
+                Chomog = [-Lx; -Ly; -Lxy];
+           else
+               error('Not implemented');
+           end
+        end
+
+        function n = createFunctionNames(obj, name)
+            nStre = numel(obj.uFluc);
+            nums = 1:nStre;
+            n = cellstr([repmat(name, [nStre,1]), num2str(nums')])';
+        end
+        
+    end
+
+    
+
+end
diff --git a/MathOld/First Order/Mesh with hole/strainMacro_CircularHole1.vtu b/MathOld/First Order/Mesh with hole/strainMacro_CircularHole1.vtu
new file mode 100644
index 0000000000..ed595c104c
--- /dev/null
+++ b/MathOld/First Order/Mesh with hole/strainMacro_CircularHole1.vtu	
@@ -0,0 +1,2483 @@
+<?xml version="1.0" encoding="utf-8"?>
+<VTKFile byte_order="LittleEndian" type="UnstructuredGrid" version="0.1">
+   <UnstructuredGrid>
+      <Piece NumberOfCells="1136" NumberOfPoints="664">
+         <Points>
+            <DataArray Name="Points" NumberOfComponents="3" format="ascii" type="Float32">
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diff --git a/MathOld/First Order/Mesh with hole/strainMacro_CircularHole2.vtu b/MathOld/First Order/Mesh with hole/strainMacro_CircularHole2.vtu
new file mode 100644
index 0000000000..b1a1e09f9d
--- /dev/null
+++ b/MathOld/First Order/Mesh with hole/strainMacro_CircularHole2.vtu	
@@ -0,0 +1,2483 @@
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diff --git a/MathOld/First Order/Mesh with hole/strainMacro_CircularHole3.vtu b/MathOld/First Order/Mesh with hole/strainMacro_CircularHole3.vtu
new file mode 100644
index 0000000000..c5805c1146
--- /dev/null
+++ b/MathOld/First Order/Mesh with hole/strainMacro_CircularHole3.vtu	
@@ -0,0 +1,2483 @@
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diff --git a/MathOld/First Order/Mesh with hole/strainMicro_CircularHole1.vtu b/MathOld/First Order/Mesh with hole/strainMicro_CircularHole1.vtu
new file mode 100644
index 0000000000..53569af878
--- /dev/null
+++ b/MathOld/First Order/Mesh with hole/strainMicro_CircularHole1.vtu	
@@ -0,0 +1,2483 @@
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diff --git a/MathOld/First Order/Mesh with hole/strainMicro_CircularHole2.vtu b/MathOld/First Order/Mesh with hole/strainMicro_CircularHole2.vtu
new file mode 100644
index 0000000000..b37668b7c4
--- /dev/null
+++ b/MathOld/First Order/Mesh with hole/strainMicro_CircularHole2.vtu	
@@ -0,0 +1,2483 @@
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diff --git a/MathOld/First Order/Mesh with hole/strainMicro_CircularHole3.vtu b/MathOld/First Order/Mesh with hole/strainMicro_CircularHole3.vtu
new file mode 100644
index 0000000000..a3f95d533d
--- /dev/null
+++ b/MathOld/First Order/Mesh with hole/strainMicro_CircularHole3.vtu	
@@ -0,0 +1,2483 @@
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diff --git a/MathOld/First Order/Mesh with hole/stressMacro_CircularHole1.vtu b/MathOld/First Order/Mesh with hole/stressMacro_CircularHole1.vtu
new file mode 100644
index 0000000000..236a80bb2a
--- /dev/null
+++ b/MathOld/First Order/Mesh with hole/stressMacro_CircularHole1.vtu	
@@ -0,0 +1,2483 @@
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diff --git a/MathOld/First Order/Mesh with hole/stressMacro_CircularHole2.vtu b/MathOld/First Order/Mesh with hole/stressMacro_CircularHole2.vtu
new file mode 100644
index 0000000000..f5763a8e99
--- /dev/null
+++ b/MathOld/First Order/Mesh with hole/stressMacro_CircularHole2.vtu	
@@ -0,0 +1,2483 @@
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diff --git a/MathOld/First Order/Mesh with hole/stressMacro_CircularHole3.vtu b/MathOld/First Order/Mesh with hole/stressMacro_CircularHole3.vtu
new file mode 100644
index 0000000000..b514fd5008
--- /dev/null
+++ b/MathOld/First Order/Mesh with hole/stressMacro_CircularHole3.vtu	
@@ -0,0 +1,2483 @@
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diff --git a/MathOld/First Order/Mesh with hole/stressMicro_CircularHole1.vtu b/MathOld/First Order/Mesh with hole/stressMicro_CircularHole1.vtu
new file mode 100644
index 0000000000..68ba065c4d
--- /dev/null
+++ b/MathOld/First Order/Mesh with hole/stressMicro_CircularHole1.vtu	
@@ -0,0 +1,2483 @@
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diff --git a/MathOld/First Order/Mesh with hole/stressMicro_CircularHole2.vtu b/MathOld/First Order/Mesh with hole/stressMicro_CircularHole2.vtu
new file mode 100644
index 0000000000..576827d5cc
--- /dev/null
+++ b/MathOld/First Order/Mesh with hole/stressMicro_CircularHole2.vtu	
@@ -0,0 +1,2483 @@
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diff --git a/MathOld/First Order/Mesh with hole/stressMicro_CircularHole3.vtu b/MathOld/First Order/Mesh with hole/stressMicro_CircularHole3.vtu
new file mode 100644
index 0000000000..88c288f2ce
--- /dev/null
+++ b/MathOld/First Order/Mesh with hole/stressMicro_CircularHole3.vtu	
@@ -0,0 +1,2483 @@
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diff --git a/MathOld/First Order/Mesh with hole/uFun_CircularHole1.vtu b/MathOld/First Order/Mesh with hole/uFun_CircularHole1.vtu
new file mode 100644
index 0000000000..6a5f0fc917
--- /dev/null
+++ b/MathOld/First Order/Mesh with hole/uFun_CircularHole1.vtu	
@@ -0,0 +1,2483 @@
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diff --git a/MathOld/First Order/Mesh with hole/uFun_CircularHole2.vtu b/MathOld/First Order/Mesh with hole/uFun_CircularHole2.vtu
new file mode 100644
index 0000000000..617d069348
--- /dev/null
+++ b/MathOld/First Order/Mesh with hole/uFun_CircularHole2.vtu	
@@ -0,0 +1,2483 @@
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diff --git a/MathOld/First Order/Mesh with hole/uFun_CircularHole3.vtu b/MathOld/First Order/Mesh with hole/uFun_CircularHole3.vtu
new file mode 100644
index 0000000000..5e8927bf27
--- /dev/null
+++ b/MathOld/First Order/Mesh with hole/uFun_CircularHole3.vtu	
@@ -0,0 +1,2483 @@
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diff --git a/MathOld/First Order/Whole Mesh/StrainMacro_FullMesh_1.vtu b/MathOld/First Order/Whole Mesh/StrainMacro_FullMesh_1.vtu
new file mode 100644
index 0000000000..3067ff1c66
--- /dev/null
+++ b/MathOld/First Order/Whole Mesh/StrainMacro_FullMesh_1.vtu	
@@ -0,0 +1,2985 @@
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diff --git a/MathOld/First Order/Whole Mesh/StrainMacro_FullMesh_2.vtu b/MathOld/First Order/Whole Mesh/StrainMacro_FullMesh_2.vtu
new file mode 100644
index 0000000000..f2fddf2ded
--- /dev/null
+++ b/MathOld/First Order/Whole Mesh/StrainMacro_FullMesh_2.vtu	
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diff --git a/MathOld/First Order/Whole Mesh/StrainMacro_FullMesh_3.vtu b/MathOld/First Order/Whole Mesh/StrainMacro_FullMesh_3.vtu
new file mode 100644
index 0000000000..811f5897bc
--- /dev/null
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diff --git a/MathOld/First Order/Whole Mesh/StrainMicro_FullMesh_1.vtu b/MathOld/First Order/Whole Mesh/StrainMicro_FullMesh_1.vtu
new file mode 100644
index 0000000000..7e6068efae
--- /dev/null
+++ b/MathOld/First Order/Whole Mesh/StrainMicro_FullMesh_1.vtu	
@@ -0,0 +1,2985 @@
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diff --git a/MathOld/First Order/Whole Mesh/StrainMicro_FullMesh_2.vtu b/MathOld/First Order/Whole Mesh/StrainMicro_FullMesh_2.vtu
new file mode 100644
index 0000000000..f049945b31
--- /dev/null
+++ b/MathOld/First Order/Whole Mesh/StrainMicro_FullMesh_2.vtu	
@@ -0,0 +1,2985 @@
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diff --git a/MathOld/First Order/Whole Mesh/StrainMicro_FullMesh_3.vtu b/MathOld/First Order/Whole Mesh/StrainMicro_FullMesh_3.vtu
new file mode 100644
index 0000000000..600a277aaa
--- /dev/null
+++ b/MathOld/First Order/Whole Mesh/StrainMicro_FullMesh_3.vtu	
@@ -0,0 +1,2985 @@
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diff --git a/MathOld/First Order/Whole Mesh/StressMacro_FullMesh_1.vtu b/MathOld/First Order/Whole Mesh/StressMacro_FullMesh_1.vtu
new file mode 100644
index 0000000000..d79e7ccc67
--- /dev/null
+++ b/MathOld/First Order/Whole Mesh/StressMacro_FullMesh_1.vtu	
@@ -0,0 +1,2985 @@
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diff --git a/MathOld/First Order/Whole Mesh/StressMacro_FullMesh_2.vtu b/MathOld/First Order/Whole Mesh/StressMacro_FullMesh_2.vtu
new file mode 100644
index 0000000000..d79e7ccc67
--- /dev/null
+++ b/MathOld/First Order/Whole Mesh/StressMacro_FullMesh_2.vtu	
@@ -0,0 +1,2985 @@
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diff --git a/MathOld/First Order/Whole Mesh/StressMacro_FullMesh_3.vtu b/MathOld/First Order/Whole Mesh/StressMacro_FullMesh_3.vtu
new file mode 100644
index 0000000000..b44a588f3f
--- /dev/null
+++ b/MathOld/First Order/Whole Mesh/StressMacro_FullMesh_3.vtu	
@@ -0,0 +1,2985 @@
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diff --git a/MathOld/First Order/Whole Mesh/StressMicro_FullMesh1.vtu b/MathOld/First Order/Whole Mesh/StressMicro_FullMesh1.vtu
new file mode 100644
index 0000000000..bd4be19462
--- /dev/null
+++ b/MathOld/First Order/Whole Mesh/StressMicro_FullMesh1.vtu	
@@ -0,0 +1,2985 @@
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diff --git a/MathOld/First Order/Whole Mesh/StressMicro_FullMesh2.vtu b/MathOld/First Order/Whole Mesh/StressMicro_FullMesh2.vtu
new file mode 100644
index 0000000000..d3d2f75889
--- /dev/null
+++ b/MathOld/First Order/Whole Mesh/StressMicro_FullMesh2.vtu	
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diff --git a/MathOld/First Order/Whole Mesh/StressMicro_FullMesh3.vtu b/MathOld/First Order/Whole Mesh/StressMicro_FullMesh3.vtu
new file mode 100644
index 0000000000..daa6a27457
--- /dev/null
+++ b/MathOld/First Order/Whole Mesh/StressMicro_FullMesh3.vtu	
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diff --git a/MathOld/First Order/Whole Mesh/uFun_FullMesh_1.vtu b/MathOld/First Order/Whole Mesh/uFun_FullMesh_1.vtu
new file mode 100644
index 0000000000..70267adc42
--- /dev/null
+++ b/MathOld/First Order/Whole Mesh/uFun_FullMesh_1.vtu	
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diff --git a/MathOld/First Order/Whole Mesh/uFun_FullMesh_2.vtu b/MathOld/First Order/Whole Mesh/uFun_FullMesh_2.vtu
new file mode 100644
index 0000000000..19d81b6c2f
--- /dev/null
+++ b/MathOld/First Order/Whole Mesh/uFun_FullMesh_2.vtu	
@@ -0,0 +1,2985 @@
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diff --git a/MathOld/First Order/Whole Mesh/uFun_FullMesh_3.vtu b/MathOld/First Order/Whole Mesh/uFun_FullMesh_3.vtu
new file mode 100644
index 0000000000..c2950ee454
--- /dev/null
+++ b/MathOld/First Order/Whole Mesh/uFun_FullMesh_3.vtu	
@@ -0,0 +1,2985 @@
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+ 3.70433e-19  1.49651e-18        00000 </DataArray>
+         </PointData>
+         <CellData/>
+      </Piece>
+   </UnstructuredGrid>
+</VTKFile>
\ No newline at end of file
diff --git a/MathOld/ProblemSolverOld.m b/MathOld/ProblemSolverOld.m
new file mode 100644
index 0000000000..7a1dd90950
--- /dev/null
+++ b/MathOld/ProblemSolverOld.m
@@ -0,0 +1,187 @@
+classdef ProblemSolver < handle
+    
+    properties (Access = public)
+        
+    end
+    
+    properties (Access = private)
+        type, mode
+        boundaryConditions
+        BCApplier
+        solver
+    end
+    
+    properties (Access = private)
+        
+    end
+    
+    methods (Access = public)
+        
+        function obj = ProblemSolver(cParams)
+            obj.init(cParams);
+        end
+
+        function [u,L] = solve(obj,cParams)
+            [LHS, RHS] = obj.computeMatrices(cParams);
+            sol        = obj.solver.solve(LHS, RHS);
+            [u, L]     = obj.cleanupSolution(sol,cParams.stiffness);
+        end
+        
+    end
+    
+    methods (Access = private)
+        
+        function init(obj,cParams)
+            obj.type               = cParams.solverType;
+            obj.mode               = cParams.solverMode;
+            obj.boundaryConditions = cParams.boundaryConditions;
+            obj.BCApplier          = cParams.BCApplier;
+            obj.solver             = cParams.solver;
+        end
+
+        function [LHS, RHS] = computeMatrices(obj,cParams)
+            LHS = obj.assembleLHS(cParams);
+            RHS = obj.assembleRHS(cParams);
+        end
+
+        function [u, L] = cleanupSolution(obj,sol,stiffness)
+            %bcapp = obj.BCApplier;
+            bcs   = obj.boundaryConditions;
+            %hasPeriodic = ~isequal(bcs.periodic_leader, []);
+            switch true
+                case strcmp(obj.type, 'MONOLITHIC')
+                    nDisp = size(stiffness,1);
+                    u = sol(1:nDisp, :);
+                    L = -sol( (nDisp+1):end, : );
+                case strcmp(obj.type, 'REDUCED') && strcmp(obj.mode, 'DISP')
+                    dofs = 1:size(stiffness,1);
+                    free_dofs = setdiff(dofs, bcs.dirichlet_dofs);
+                    u = zeros(size(stiffness,1), 1);
+                    u(free_dofs) = sol;
+                    u(bcs.dirichlet_dofs) = bcs.dirichlet_vals;
+                    L = [];
+                case strcmp(obj.type, 'REDUCED') && strcmp(obj.mode, 'FLUC')
+                    lead = bcs.periodic_leader;
+                    fllw = bcs.periodic_follower;
+                    drch = bcs.dirichlet_dofs;
+                    dofs = 1:size(stiffness,1);
+                    free = setdiff(dofs, [lead; fllw; drch]);
+                    u = zeros(length(dofs),1);
+                    u(free) = sol(1:1:size(free,2));
+                    u(lead) = sol(size(free,2)+1:1:size(sol,1));
+                    u(fllw) = u(lead);
+                    u(drch) = bcs.dirichlet_vals;
+                    L = [];
+                otherwise
+                    u = [];
+                    L = [];
+            end
+
+            % maybe return a p1function or whatever
+        end
+
+        function LHS = assembleLHS(obj,cParams)
+            stiffness = cParams.stiffness;
+            bcapp = obj.BCApplier;
+            bcs   = obj.boundaryConditions;
+            hasPeriodic = ~isequal(bcs.periodic_leader, []);
+
+            switch true
+                case strcmp(obj.type, 'MONOLITHIC') && strcmp(obj.mode, 'DISP')
+                    if ~hasPeriodic
+                        % Ct = bcapp.computeLinearConditionsMatrix('P1');
+                        Ct = bcapp.computeLinearConditionsMatrix('Dirac');
+                        C   = Ct';
+                        nC  = size(Ct,1);
+                        Z   = zeros(nC);
+                        Km  = stiffness;
+                        LHS = [Km C; C' Z];
+                    else
+                        % Micro
+                        iV = cParams.iVoigt;
+                        nV = cParams.nVoigt;
+                        % CtDir = bcapp.computeLinearConditionsMatrix();
+                        % CtPer = bcapp.computeLinearPeriodicConditionsMatrix();
+                        Ct = bcapp.computeSingleDirichletPeriodicCondition(iV, nV);
+                        C   = Ct';
+                        nC  = size(Ct,1);
+                        Z   = zeros(nC);
+                        Km  = stiffness;
+                        LHS = [Km C; C' Z];
+                    end
+                case strcmp(obj.type, 'REDUCED') && strcmp(obj.mode, 'DISP')
+                    dofs = 1:size(stiffness,1);
+                    free_dofs = setdiff(dofs, bcs.dirichlet_dofs);
+                    LHS = stiffness(free_dofs, free_dofs);
+                case strcmp(obj.type, 'MONOLITHIC') && strcmp(obj.mode, 'FLUC')
+                    CtDir = bcapp.computeLinearConditionsMatrix('Dirac');
+                    CtPer = bcapp.computeLinearPeriodicConditionsMatrix();
+                    CtCs  = bcapp.computeLinearConditionsMatrix('Analytical');
+                    Cv    = bcapp.computeVoluMatrix();
+                    Ct      = [CtPer; CtDir; CtCs';Cv'];
+                    C       = Ct';
+                    nC      = size(Ct,1);
+                    Z       = zeros(nC);
+                    Km      = stiffness;
+                    LHS     = [Km C; C' Z];
+
+                case strcmp(obj.type, 'REDUCED') && strcmp(obj.mode, 'FLUC')
+                    lead = bcs.periodic_leader;
+                    fllw = bcs.periodic_follower;
+                    drch = bcs.dirichlet_dofs;
+                    dofs = 1:size(stiffness,1);
+                    free = setdiff(dofs, [lead; fllw; drch]);
+                    A = stiffness;
+                    A_II = A(free,free);
+                    A_IP = A(free,lead) + A(free,fllw); %Grouping P and Q nodal values
+                    A_PI = A(lead,free) + A(fllw,free); % Adding P  and Q equation
+                    A_PP = A(lead,lead) + A(lead,fllw) + A(fllw,lead) + A(fllw,fllw); % Adding and grouping
+                    LHS = [A_II, A_IP; A_PI, A_PP];
+            end
+
+        end
+
+        function RHS = assembleRHS(obj,cParams)
+            stiffness = cParams.stiffness;
+            forces    = cParams.forces;
+            bcapp = obj.BCApplier;
+            bcs   = obj.boundaryConditions;
+            hasPeriodic = ~isequal(bcs.periodic_leader, []);
+
+            switch true
+                case strcmp(obj.type, 'MONOLITHIC') && strcmp(obj.mode, 'DISP')
+                    if ~hasPeriodic
+                        nCases = size(forces,2);
+                        % lambda = zeros(size(obj.lhs,1) - size(forces,1), 1);
+                        lambda = bcs.dirichlet_vals;
+                        Ct = repmat(lambda, [1 nCases]);
+                        RHS = [forces; Ct];
+                    else
+                        iV = cParams.iVoigt;
+                        nV = cParams.nVoigt;
+                        RHS = bcapp.computeMicroDisplMonolithicRHS(iV, nV);
+                    end
+                case strcmp(obj.type, 'REDUCED') && strcmp(obj.mode, 'DISP')
+                    dofs = 1:size(stiffness,1);
+                    free_dofs = setdiff(dofs, bcs.dirichlet_dofs);
+                    RHS = forces(free_dofs);
+                case strcmp(obj.type, 'MONOLITHIC') && strcmp(obj.mode, 'FLUC')
+                    nPer = length(bcs.periodic_leader);
+                    RHS = [forces; zeros(nPer,1); bcs.dirichlet_vals; [0;0;0;0;0]];
+                case strcmp(obj.type, 'REDUCED') && strcmp(obj.mode, 'FLUC')
+                    lead = bcs.periodic_leader;
+                    fllw = bcs.periodic_follower;
+                    drch = bcs.dirichlet_dofs;
+                    dofs = 1:size(stiffness,1);
+                    free = setdiff(dofs, [lead; fllw; drch]);
+                    b = forces;
+                    b_I = b(free);
+                    b_P = b(lead) + b(fllw);
+                    RHS = [b_I; b_P];
+            end
+
+        end
+        
+    end
+    
+end
\ No newline at end of file
diff --git a/MathOld/RHSintegrator_ShapeFunctionNOld.m b/MathOld/RHSintegrator_ShapeFunctionNOld.m
new file mode 100644
index 0000000000..a474f461d1
--- /dev/null
+++ b/MathOld/RHSintegrator_ShapeFunctionNOld.m
@@ -0,0 +1,93 @@
+classdef RHSintegrator_ShapeFunctionN < handle
+
+    properties (Access = private)
+        quadType
+        mesh
+        quadrature
+    end
+
+    methods (Access = public)
+        function obj = RHSintegrator_ShapeFunctionN(cParams)
+            obj.init(cParams);
+        end
+
+
+        function rhs = compute(obj,fun,test)
+            obj.createQuadrature(fun,test);
+            rhsElem = obj.computeElementalRHS(fun,test);
+            rhs = obj.assembleIntegrand(test,rhsElem);
+        end
+
+    end
+
+    methods (Access = private)
+
+        function init(obj,cParams)
+            obj.quadType = cParams.quadType;
+            obj.mesh     = cParams.mesh;
+        end
+
+        function rhsC = computeElementalRHS(obj,fun,test)
+            quad = obj.quadrature;
+            xV   = quad.posgp;
+            fG   = fun.evaluate(xV);
+            dV   = obj.mesh.computeDvolume(quad);
+            N = test.computeShapeFunctions(xV);
+            nNodeElem  = size(N,1);
+            nElem     = obj.mesh.nelem;
+            nGaus     = quad.ngaus;
+            nFlds     = size(fG,1);
+            nDim      = obj.mesh.ndim;
+            nDofElem = nNodeElem*nFlds;
+            int = zeros(nDofElem,nElem);
+
+            %shapesTestMapped  = test.mapFunction(N, xV);
+
+            for iField = 1:nFlds
+                for iNode = 1:nNodeElem
+                    for iGaus = 1:nGaus
+                        dVg(:,1) = abs(dV(iGaus, :));
+                        fV   = squeeze(fG(:,iGaus,:));
+%                         Ni   = reshape(squeeze(N(iNode,iGaus,:,:))',nDim,[])';
+                        Ni   = squeeze(N(iNode,iGaus,:));
+                        fNdV(:,1) = sum(Ni'.*fV,1)'.*dVg;
+%                         fNdV(1,:) = Ni.*fV.*dVg;
+                        iDof = nFlds*(iNode-1) + iField;
+%                         int(iDof,iField,:) = squeezeParticular(int(iDof,iField,:),1) + fNdV;
+%                         iDof = iNode;
+                        int(iDof,:) = int(iDof,:) + fNdV';
+                        
+                    end
+                end
+            end
+            rhsC = transpose(int);
+        end
+
+        function f = assembleIntegrand(obj,test,rhsElem)
+            integrand = rhsElem;
+            connec   = test.getDofConnec();
+            ndofs    = max(max(connec));
+            nDofElem = size(connec,2);
+            f = zeros(ndofs,1);
+            for iDof = 1:nDofElem
+                int = integrand(:,iDof);
+                con = connec(:,iDof);
+                f = f + accumarray(con,int,[ndofs,1],@sum,0);
+            end
+        end
+
+        function createQuadrature(obj,fun,test)
+            if isempty(obj.quadType)
+                orderTr = fun.getOrderNum();
+                orderTe = test.getOrderNum();
+                order = orderTr + orderTe;
+            else
+                order = obj.quadType;
+            end
+            q = Quadrature.create(obj.mesh,order);
+            obj.quadrature = q;
+        end
+
+    end
+
+end
diff --git a/MathOld/Second Order/First results/StrnFluctOrd2_X_1.vtu b/MathOld/Second Order/First results/StrnFluctOrd2_X_1.vtu
new file mode 100644
index 0000000000..12a3cc974a
--- /dev/null
+++ b/MathOld/Second Order/First results/StrnFluctOrd2_X_1.vtu	
@@ -0,0 +1,2483 @@
+<?xml version="1.0" encoding="utf-8"?>
+<VTKFile byte_order="LittleEndian" type="UnstructuredGrid" version="0.1">
+   <UnstructuredGrid>
+      <Piece NumberOfCells="1136" NumberOfPoints="664">
+         <Points>
+            <DataArray Name="Points" NumberOfComponents="3" format="ascii" type="Float32">
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diff --git a/MathOld/Second Order/First results/StrnOrd2_X_1.vtu b/MathOld/Second Order/First results/StrnOrd2_X_1.vtu
new file mode 100644
index 0000000000..96e0133598
--- /dev/null
+++ b/MathOld/Second Order/First results/StrnOrd2_X_1.vtu	
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diff --git a/MathOld/Second Order/First results/uFOrd2_X_1.vtu b/MathOld/Second Order/First results/uFOrd2_X_1.vtu
new file mode 100644
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From 054d6617b00036dbe49b3e05f92d54e55c4d192c Mon Sep 17 00:00:00 2001
From: FerrerFerreAlex <32134913+FerrerFerreAlex@users.noreply.github.com>
Date: Wed, 30 Apr 2025 12:45:20 +0200
Subject: [PATCH 02/24] "chang"

---
 Hola.vtu                                      | 2683 +++++++++++++++++
 MathOld/ElasticProblemMicroOld.m              |    4 +-
 src/Problems/Elasticity/ElasticProblemMicro.m |   25 +-
 3 files changed, 2709 insertions(+), 3 deletions(-)
 create mode 100644 Hola.vtu

diff --git a/Hola.vtu b/Hola.vtu
new file mode 100644
index 0000000000..c3f9ccb763
--- /dev/null
+++ b/Hola.vtu
@@ -0,0 +1,2683 @@
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+ 8.08353e-01 -3.51658e-02        00000 
+ 9.05123e-01 -3.37857e-02        00000 
+ 9.55018e-01 -2.98367e-02        00000 
+ 9.57742e-01 -1.43364e-02        00000 
+ 9.81810e-01 -3.77428e-16        00000 
+ 9.74343e-01  1.43364e-02        00000 
+ 4.08124e-01 -2.72210e-02        00000 
+ 5.05014e-01 -2.82784e-02        00000 
+ 6.02304e-01 -2.72210e-02        00000 
+ 2.41285e-02 -1.75792e-02        00000 
+ 5.02208e-03 -5.88427e-03        00000 
+ 4.79857e-03  5.88427e-03        00000 
+ 2.19168e-02  1.75792e-02        00000 
+ 3.25270e-02 -1.82713e-02        00000 
+ 7.52453e-02 -2.55421e-02        00000 
+ 6.01859e-02 -2.37456e-02        00000 
+ 2.59561e-02 -1.77994e-02        00000 
+ 1.75339e-02 -1.71386e-02        00000 
+ 2.27641e-02 -8.26903e-03        00000 
+ 1.13348e-02 -2.76528e-03        00000 
+ 1.10347e-02  2.76528e-03        00000 
+ 1.14059e-02  8.26903e-03        00000 
+ 2.72317e-02  1.82713e-02        00000 
+ 2.96678e-02  1.71386e-02        00000 
+ 1.88102e-02  1.77994e-02        00000 
+ 7.90216e-02  2.55421e-02        00000 
+ 6.59660e-02  2.37456e-02        00000 
+ 1.26166e-01 -2.91319e-02        00000 
+ 1.62053e-01 -3.12918e-02        00000 
+ 1.43884e-01 -3.08407e-02        00000 
+ 9.76009e-02 -2.78990e-02        00000 
+ 1.14704e-01  2.91319e-02        00000 
+ 9.39601e-02  2.78990e-02        00000 
+ 1.74171e-01  3.12918e-02        00000 
+ 1.43961e-01  3.08407e-02        00000 
+ 2.28939e-01 -3.30430e-02        00000 
+ 3.17510e-01 -3.57512e-02        00000 
+ 2.69251e-01 -3.56698e-02        00000 
+ 1.94917e-01 -3.37635e-02        00000 
+ 2.23022e-01  3.30430e-02        00000 
+ 1.94765e-01  3.37635e-02        00000 
+ 3.25671e-01  3.57512e-02        00000 
+ 2.47837e-01  3.56698e-02        00000 
+ 3.38812e-01 -3.50651e-02        00000 
+ 3.41047e-01 -3.52678e-02        00000 
+ 3.52166e-01 -3.54392e-02        00000 
+ 3.11995e-01  3.50651e-02        00000 
+ 3.18808e-01  3.52678e-02        00000 
+ 3.66469e-01  3.54392e-02        00000 
+ 4.43928e-01 -3.78997e-02        00000 
+ 4.09775e-01 -3.83074e-02        00000 
+ 4.74951e-01 -3.72324e-02        00000 
+ 4.56086e-01  3.78997e-02        00000 
+ 3.83414e-01  3.83074e-02        00000 
+ 4.81123e-01  3.72324e-02        00000 
+ 5.51130e-01 -3.78997e-02        00000 
+ 5.20253e-01 -3.72324e-02        00000 
+ 5.83405e-01 -3.83074e-02        00000 
+ 5.64268e-01  3.78997e-02        00000 
+ 5.07554e-01  3.72324e-02        00000 
+ 5.70906e-01  3.83074e-02        00000 
+ 6.60154e-01 -3.50651e-02        00000 
+ 6.72997e-01 -3.57512e-02        00000 
+ 6.48938e-01 -3.54392e-02        00000 
+ 6.60509e-01 -3.52678e-02        00000 
+ 6.89908e-01  3.50651e-02        00000 
+ 7.03780e-01  3.57512e-02        00000 
+ 6.32787e-01  3.54392e-02        00000 
+ 6.79051e-01  3.52678e-02        00000 
+ 7.64312e-01 -3.30430e-02        00000 
+ 7.54198e-01 -3.56698e-02        00000 
+ 8.27693e-01 -3.12918e-02        00000 
+ 7.93022e-01 -3.37635e-02        00000 
+ 7.94641e-01  3.30430e-02        00000 
+ 8.50446e-01  3.12918e-02        00000 
+ 8.35385e-01  3.37635e-02        00000 
+ 6.86631e-01  3.56698e-02        00000 
+ 8.67053e-01 -2.91319e-02        00000 
+ 8.66371e-01 -3.08407e-02        00000 
+ 9.16661e-01 -2.55421e-02        00000 
+ 8.90948e-01 -2.78990e-02        00000 
+ 8.99107e-01  2.91319e-02        00000 
+ 9.36662e-01  2.55421e-02        00000 
+ 9.28883e-01  2.78990e-02        00000 
+ 8.32676e-01  3.08407e-02        00000 
+ 9.64713e-01 -1.82713e-02        00000 
+ 9.49417e-01 -2.37456e-02        00000 
+ 9.40060e-01 -1.75792e-02        00000 
+ 9.76193e-01 -1.77994e-02        00000 
+ 9.76877e-01 -1.71386e-02        00000 
+ 9.96809e-01 -5.88427e-03        00000 
+ 1.00861e+00 -8.26903e-03        00000 
+ 9.95179e-01 -2.76528e-03        00000 
+ 9.93959e-01  5.88427e-03        00000 
+ 9.97179e-01  2.76528e-03        00000 
+ 1.00521e+00  8.26903e-03        00000 
+ 9.76945e-01  1.82713e-02        00000 
+ 1.03416e+00  1.75792e-02        00000 
+ 9.41652e-01  1.71386e-02        00000 
+ 9.78160e-01  1.77994e-02        00000 
+ 9.17249e-01  2.37456e-02        00000 </DataArray>
+         </PointData>
+         <CellData/>
+      </Piece>
+   </UnstructuredGrid>
+</VTKFile>
\ No newline at end of file
diff --git a/MathOld/ElasticProblemMicroOld.m b/MathOld/ElasticProblemMicroOld.m
index b4be9a6b2d..e3def5af68 100644
--- a/MathOld/ElasticProblemMicroOld.m
+++ b/MathOld/ElasticProblemMicroOld.m
@@ -1,4 +1,4 @@
-classdef ElasticProblemMicro < handle
+classdef ElasticProblemMicroOld < handle
     
     properties (Access = public)
         uFluc, strain, stress
@@ -17,7 +17,7 @@
 
     methods (Access = public)
 
-        function obj = ElasticProblemMicro(cParams)
+        function obj = ElasticProblemMicroOld(cParams)
             obj.init(cParams);
             obj.createTrialFun();
             obj.createBCApplier();
diff --git a/src/Problems/Elasticity/ElasticProblemMicro.m b/src/Problems/Elasticity/ElasticProblemMicro.m
index eaccae5213..a89182e95c 100644
--- a/src/Problems/Elasticity/ElasticProblemMicro.m
+++ b/src/Problems/Elasticity/ElasticProblemMicro.m
@@ -29,20 +29,43 @@
             %    oX     = zeros(obj.getDimensions().ndimf,1);
             nBasis = obj.computeNbasis();
             obj.Chomog = zeros(nBasis, nBasis);
+
+           
             for iB = 1:nBasis
                 strainB     = obj.createDeformationBasis(iB);
                 RHS         = obj.computeRHS(strainB,LHS);
                 uF{iB}      = obj.computeDisplacement(LHS,RHS,iB,nBasis);
                 strainF{iB} = strainB+SymGrad(uF{iB});
                 stressF{iB} = DDP(obj.material, strainF{iB});
-                Ch(:,iB)    = obj.computeChomog(stressF{iB},iB);
+              %  Ch(:,iB)    = obj.computeChomog(stressF{iB},iB);
+                uM     = obj.computeTotal(strainB);
+                uT{iB} = uF{iB} + uM;
             end
+            
             obj.uFluc  = uF;
             obj.strain = strainF;
             obj.stress = stressF;
             obj.Chomog = Ch;
         end
 
+        function [uM] = computeTotal(obj,strainB)
+            Y  = AnalyticalFunction.create(@(x) x,2,obj.mesh);
+            uMF = @(xV) obj.obtainMacroscopicDisplacement(xV,strainB,Y);
+            uM = AnalyticalFunction.create(uMF,2,obj.mesh);
+        end 
+
+        function uM = obtainMacroscopicDisplacement(obj,xV,strain,Y)
+            e  = strain.evaluate(xV);            
+            y = Y.evaluate(xV);
+            y1 = y(1,:,:);
+            y2 = y(2,:,:);
+            ex = e(1,:,:);
+            ey = e(2,:,:);
+            exy = e(3,:,:);
+            uM(1,:,:) = ex.*y1 + exy.*y2;
+            uM(2,:,:) = exy.*y1 + ey.*y2;
+        end
+
         function v = computeGeometricalVolume(obj)
             v = 1;%sum(sum(obj.geometry.dvolu));
         end

From 5e47d2d80ad6392f7ff0e00fc40a37b965ed6892 Mon Sep 17 00:00:00 2001
From: Matheus <matheusvictor.doprado@gmail.com>
Date: Thu, 1 May 2025 00:50:36 +0200
Subject: [PATCH 03/24] "Implementing Second Order to Master"

Added LHSIntegrator for shape functions and second order methods to problemSolver, BCApplier and ElsaticProblemMicro
---
 MathOld/BCApplierOld.m                        |  2 +-
 MathOld/LHSintegrator_ShapeFunction_funOld.m  | 88 +++++++++++++++++++
 MathOld/ProblemSolverOld.m                    |  2 +-
 Tutorials/Tutorial02p2FEMElasticityMicro.m    |  2 +-
 src/BoundaryConditions/BCApplier.m            | 68 +++++++++++++-
 .../LHS/LHSIntegratorShapeFunction.m          | 88 +++++++++++++++++++
 src/Problems/Elasticity/ElasticProblemMicro.m | 53 +++++++----
 src/Solver/ProblemSolver.m                    | 16 ++--
 8 files changed, 292 insertions(+), 27 deletions(-)
 create mode 100644 MathOld/LHSintegrator_ShapeFunction_funOld.m
 create mode 100644 src/Integrators/LHS/LHSIntegratorShapeFunction.m

diff --git a/MathOld/BCApplierOld.m b/MathOld/BCApplierOld.m
index fbc52ed06d..dfd27f4108 100644
--- a/MathOld/BCApplierOld.m
+++ b/MathOld/BCApplierOld.m
@@ -1,4 +1,4 @@
-classdef BCApplier < handle
+classdef BCApplierOld < handle
 
     % Goal: group dirichlet and neumann conditions
     % to allow multiple boundary conditions at the same time
diff --git a/MathOld/LHSintegrator_ShapeFunction_funOld.m b/MathOld/LHSintegrator_ShapeFunction_funOld.m
new file mode 100644
index 0000000000..34e864d7d8
--- /dev/null
+++ b/MathOld/LHSintegrator_ShapeFunction_funOld.m
@@ -0,0 +1,88 @@
+classdef LHSintegrator_ShapeFunction_funOld < handle
+
+    properties (Access = private)
+        quadType
+        mesh
+        quadrature
+    end
+
+    methods (Access = public)
+        function obj = LHSintegrator_ShapeFunction_funOld(cParams)
+            obj.init(cParams);
+        end
+
+
+        function lhs = compute(obj,fun,test)
+            obj.createQuadrature(fun,test);
+            lhsElem = obj.computeElementalLHS(fun,test);
+            lhs = obj.assembleIntegrand(test,fun,lhsElem);
+        end
+
+    end
+
+    methods (Access = private)
+
+        function init(obj,cParams)
+            obj.quadType = cParams.quadType;
+            obj.mesh     = cParams.mesh;
+        end
+
+        function int = computeElementalLHS(obj,fun,test)
+            quad = obj.quadrature;
+            xV   = quad.posgp;
+            fG   = fun.evaluate(xV);
+%             fG   = squeezeParticular(fG,2);
+            dV   = obj.mesh.computeDvolume(quad);
+            N = test.computeShapeFunctions(xV);
+            nNodeElem  = size(N,1);
+            nElem     = obj.mesh.nelem;
+            nGaus     = quad.ngaus;
+            nFlds     = size(fG,1);
+            nDofElem = nNodeElem*nFlds;
+            int = zeros(nDofElem,nFlds,nElem);
+            for iField = 1:nFlds
+                for iNode = 1:nNodeElem
+                    for iGaus = 1:nGaus
+                        dVg(:,1) = dV(iGaus, :);
+                        fV   = squeeze(fG(iField,iGaus,:));
+                        Ni   = squeeze(N(iNode,iGaus,:));
+                        fNdV(1,:) = Ni.*fV.*dVg;
+                        iDof = nFlds*(iNode-1) + iField;
+                       int(iDof,iField,:) = squeezeParticular(int(iDof,iField,:),1) + fNdV;
+                    end
+                end
+            end
+            
+        end
+
+        function C = assembleIntegrand(obj,test,fun,lhsElem)
+            integrand = lhsElem;
+            nFields = fun.ndimf;
+            connec   = test.getDofConnec();
+            ndofs    = max(max(connec));
+            nDofElem = size(connec,2);
+            C = zeros(ndofs,nFields);
+            for iField = 1:nFields
+                for iDof = 1:nDofElem
+                    int = squeezeParticular(integrand(iDof,iField,:),1);
+                    con = connec(:,iDof);
+                    C(:,iField) = C(:,iField) + accumarray(con,int,[ndofs,1],@sum,0);
+                end
+            end
+        end
+
+        function createQuadrature(obj,fun,test)
+            if isempty(obj.quadType)
+                orderTr = fun.getOrderNum();
+                orderTe = test.getOrderNum();
+                order = orderTr + orderTe;
+            else
+                order = obj.quadType;
+            end
+            q = Quadrature.create(obj.mesh,order);
+            obj.quadrature = q;
+        end
+
+    end
+
+end
diff --git a/MathOld/ProblemSolverOld.m b/MathOld/ProblemSolverOld.m
index 7a1dd90950..7cbf6fd2ad 100644
--- a/MathOld/ProblemSolverOld.m
+++ b/MathOld/ProblemSolverOld.m
@@ -1,4 +1,4 @@
-classdef ProblemSolver < handle
+classdef ProblemSolverOld < handle
     
     properties (Access = public)
         
diff --git a/Tutorials/Tutorial02p2FEMElasticityMicro.m b/Tutorials/Tutorial02p2FEMElasticityMicro.m
index 4f9cb98df0..e5b0962b51 100644
--- a/Tutorials/Tutorial02p2FEMElasticityMicro.m
+++ b/Tutorials/Tutorial02p2FEMElasticityMicro.m
@@ -70,7 +70,7 @@ function solveElasticProblem(obj)
             s.boundaryConditions = obj.createBoundaryConditions();
             % Options: REDUCED-FLUC / MONOLITHIC-FLUC / MONOLITHIC-DISP
             s.solverCase = 'DIRECT';
-            s.solverType = 'REDUCED';
+            s.solverType = 'MONOLITHIC';
             s.solverMode = 'FLUC';
             fem = ElasticProblemMicro(s);
             fem.solve();
diff --git a/src/BoundaryConditions/BCApplier.m b/src/BoundaryConditions/BCApplier.m
index fbeeccd9e6..4d786626c9 100644
--- a/src/BoundaryConditions/BCApplier.m
+++ b/src/BoundaryConditions/BCApplier.m
@@ -35,13 +35,61 @@
                     nDofs = obj.dirichletFun.nDofs;
                     nDirich = length(dir_dofs);
                     Ct = sparse(1:nDirich, dir_dofs, 1, nDirich, nDofs);
+
+                case 'Analytical'
+                    ndimf  = 2;
+                    displacementFun = LagrangianFunction.create(obj.mesh, ndimf, 'P1'); % !!
+                    bMesh = obj.mesh.createBoundaryMesh();
+                    [boundaryMeshJoined, localGlobalConnecBd] = obj.mesh.createSingleBoundaryMesh();
+                    s.quadType = 2;
+                    s.mesh     = boundaryMeshJoined;
+                    lhs    = LHSIntegratorShapeFunction(s);
+                    test   = LagrangianFunction.create(boundaryMeshJoined, ndimf, 'P1'); % !!
+
+                    minx   = min(obj.mesh.coord(:,1));
+                    miny   = min(obj.mesh.coord(:,2));
+                    maxx   = max(obj.mesh.coord(:,1));
+                    maxy   = max(obj.mesh.coord(:,2));
+                    cond   = [maxx, maxy];
+                    k=1;
+                    j=1;
+                    dof    = [1,2];
+                    for i=1:length(bMesh)
+                        x0 = (max(bMesh{i}.mesh.coord(:,1))+ min(bMesh{i}.mesh.coord(:,1)))/2;
+                        y0 = (max(bMesh{i}.mesh.coord(:,2))+ min(bMesh{i}.mesh.coord(:,2)))/2;
+                        if abs(x0-maxx)<1e-6 || abs(y0-maxy)<1e-6
+                            f{k}   = @(x) [(x(dof(j),:,:)==cond(j)).* ones(size(x(1,:,:))) ; ...
+                                x(2,:,:).*0 ];
+                            f{k+1} = @(x) [x(dof(j),:,:).*0 ;...
+                                (x(dof(j),:,:)==cond(j)).*ones(size(x(1,:,:))) ];
+                            k=k+2;
+                            j=j+1;
+                        end
+                    end
+                    nfun = size(f,2);
+                    Ct = [];
+                    for i=1:nfun
+                        dLambda{i}  = AnalyticalFunction.create(f{i},ndimf,boundaryMeshJoined);
+                        %                                         dLambda = dLambda.project('P1');
+                        %                 obj.dLambda{i}.plot
+                        Ce = lhs.compute(dLambda{i},test);
+                        Ce = sum(Ce,2);
+                        [iLoc,jLoc,vals] = find(Ce);
+
+
+                        l2g_dof = ((localGlobalConnecBd*test.ndimf)' - ((test.ndimf-1):-1:0))';
+                        l2g_dof = l2g_dof(:);
+                        iGlob = l2g_dof(iLoc);
+                        Ct = [Ct sparse(iGlob,jLoc,vals, displacementFun.nDofs, 1)];
+                    end
+
                 otherwise
                     dir_dom = obj.dirichlet_domain;
                     [mesh_left2, l2g_mesh] = obj.mesh.getBoundarySubmesh(dir_dom);
-        
+
                     dLambda = LagrangianFunction.create(mesh_left2, obj.mesh.ndim, order); % !!
                     uFun    = LagrangianFunction.create(obj.mesh, obj.mesh.ndim, 'P1'); % !!
-        
+
                     b.mesh  = mesh_left2;
                     b.test  = dLambda;
                     b.trial = uFun.restrictTo(dir_dom);
@@ -99,6 +147,22 @@
                          nDofsPerBorder*nVoigt, nDofs);
             Ct =  [CtPer; CtDirPer; CtDir];
         end
+    
+        function Cv = computeVoluMatrix(obj)
+            ndimf  = 2;
+            %displacementFun = LagrangianFunction.create(obj.mesh, ndimf, 'P1'); % !!
+            s.quadType = 2;
+            s.mesh     = obj.mesh;
+            % lhs    = LHSIntegratorShapeFunction(s);
+            rhs    = RHSIntegratorShapeFunction(s);
+            test   = LagrangianFunction.create(obj.mesh, ndimf, 'P1'); % !!
+
+            f  = @(x) [ones(size(x(1,:,:))) ; ones(size(x(1,:,:)))];
+            dLambda  = AnalyticalFunction.create(f,ndimf,obj.mesh);
+            %             Cv = lhs.compute(dLambda,test);
+            %             Cv = sum(Cv,2);
+            Cv = -rhs.compute(dLambda,test);
+        end
 
         function RHSC = computeMicroDisplMonolithicRHS(obj, iVoigt, nVoigt)
             nDofs = obj.dirichletFun.nDofs;
diff --git a/src/Integrators/LHS/LHSIntegratorShapeFunction.m b/src/Integrators/LHS/LHSIntegratorShapeFunction.m
new file mode 100644
index 0000000000..af58ca2eae
--- /dev/null
+++ b/src/Integrators/LHS/LHSIntegratorShapeFunction.m
@@ -0,0 +1,88 @@
+classdef LHSIntegratorShapeFunction < handle
+
+    properties (Access = private)
+        quadType
+        mesh
+        quadrature
+    end
+
+    methods (Access = public)
+        function obj = LHSIntegratorShapeFunction(cParams)
+            obj.init(cParams);
+        end
+
+
+        function lhs = compute(obj,fun,test)
+            obj.createQuadrature(fun,test);
+            lhsElem = obj.computeElementalLHS(fun,test);
+            lhs = obj.assembleIntegrand(test,fun,lhsElem);
+        end
+
+    end
+
+    methods (Access = private)
+
+        function init(obj,cParams)
+            obj.quadType = cParams.quadType;
+            obj.mesh     = cParams.mesh;
+        end
+
+        function int = computeElementalLHS(obj,fun,test)
+            quad = obj.quadrature;
+            xV   = quad.posgp;
+            fG   = fun.evaluate(xV);
+%             fG   = squeezeParticular(fG,2);
+            dV   = obj.mesh.computeDvolume(quad);
+            N = test.computeShapeFunctions(xV);
+            nNodeElem  = size(N,1);
+            nElem     = obj.mesh.nelem;
+            nGaus     = quad.ngaus;
+            nFlds     = size(fG,1);
+            nDofElem = nNodeElem*nFlds;
+            int = zeros(nDofElem,nFlds,nElem);
+            for iField = 1:nFlds
+                for iNode = 1:nNodeElem
+                    for iGaus = 1:nGaus
+                        dVg(:,1) = dV(iGaus, :);
+                        fV   = squeeze(fG(iField,iGaus,:));
+                        Ni   = squeeze(N(iNode,iGaus,:));
+                        fNdV(1,:) = Ni.*fV.*dVg;
+                        iDof = nFlds*(iNode-1) + iField;
+                       int(iDof,iField,:) = squeezeParticular(int(iDof,iField,:),1) + fNdV;
+                    end
+                end
+            end
+            
+        end
+
+        function C = assembleIntegrand(obj,test,fun,lhsElem)
+            integrand = lhsElem;
+            nFields = fun.ndimf;
+            connec   = test.getDofConnec();
+            ndofs    = max(max(connec));
+            nDofElem = size(connec,2);
+            C = zeros(ndofs,nFields);
+            for iField = 1:nFields
+                for iDof = 1:nDofElem
+                    int = squeezeParticular(integrand(iDof,iField,:),1);
+                    con = connec(:,iDof);
+                    C(:,iField) = C(:,iField) + accumarray(con,int,[ndofs,1],@sum,0);
+                end
+            end
+        end
+
+        function createQuadrature(obj,fun,test)
+            if isempty(obj.quadType)
+                orderTr = fun.getOrderNum();
+                orderTe = test.getOrderNum();
+                order = orderTr + orderTe;
+            else
+                order = obj.quadType;
+            end
+            q = Quadrature.create(obj.mesh,order);
+            obj.quadrature = q;
+        end
+
+    end
+
+end
diff --git a/src/Problems/Elasticity/ElasticProblemMicro.m b/src/Problems/Elasticity/ElasticProblemMicro.m
index a89182e95c..339c50517e 100644
--- a/src/Problems/Elasticity/ElasticProblemMicro.m
+++ b/src/Problems/Elasticity/ElasticProblemMicro.m
@@ -28,33 +28,47 @@
             LHS = obj.computeLHS();
             %    oX     = zeros(obj.getDimensions().ndimf,1);
             nBasis = obj.computeNbasis();
-            obj.Chomog = zeros(nBasis, nBasis);
-
-           
-            for iB = 1:nBasis
-                strainB     = obj.createDeformationBasis(iB);
+            nTerms = 3*nBasis;
+            % obj.Chomog = zeros(nBasis, nBasis);
+
+            for iB = 1:nTerms
+
+                if iB <= 3
+                    s = obj.createDeformationBasis(iB);
+                    iBasis = iB;
+                elseif iB <= 6
+                    iBasis = iB - 3;
+                    coord = 1;
+                    s = obj.createSndOrderDeformationBasis(coord, iBasis);
+                else
+                    iBasis = iB - 6;
+                    coord = 2;
+                    s = obj.createSndOrderDeformationBasis(coord, iBasis);
+                end
+                
+                strainB     = s;
                 RHS         = obj.computeRHS(strainB,LHS);
-                uF{iB}      = obj.computeDisplacement(LHS,RHS,iB,nBasis);
+                uF{iB}      = obj.computeDisplacement(LHS,RHS,iBasis,nBasis);
                 strainF{iB} = strainB+SymGrad(uF{iB});
                 stressF{iB} = DDP(obj.material, strainF{iB});
-              %  Ch(:,iB)    = obj.computeChomog(stressF{iB},iB);
+                %  Ch(:,iB)    = obj.computeChomog(stressF{iB},iB);
                 uM     = obj.computeTotal(strainB);
                 uT{iB} = uF{iB} + uM;
             end
-            
+
             obj.uFluc  = uF;
             obj.strain = strainF;
             obj.stress = stressF;
-            obj.Chomog = Ch;
+            % obj.Chomog = Ch;
         end
 
-        function [uM] = computeTotal(obj,strainB)
+        function uT = computeTotal(obj,strainB)
             Y  = AnalyticalFunction.create(@(x) x,2,obj.mesh);
             uMF = @(xV) obj.obtainMacroscopicDisplacement(xV,strainB,Y);
-            uM = AnalyticalFunction.create(uMF,2,obj.mesh);
+            uT = AnalyticalFunction.create(uMF,2,obj.mesh);
         end 
 
-        function uM = obtainMacroscopicDisplacement(obj,xV,strain,Y)
+        function uM = obtainMacroscopicDisplacement(xV,strain,Y)
             e  = strain.evaluate(xV);            
             y = Y.evaluate(xV);
             y1 = y(1,:,:);
@@ -101,17 +115,26 @@ function createTrialFun(obj)
             obj.trialFun = LagrangianFunction.create(obj.mesh, obj.mesh.ndim, 'P1');
         end
 
-       function s = createDeformationBasis(obj,iBasis)
+        function s = createDeformationBasis(obj,iBasis)
             nBasis = obj.computeNbasis();
             sV = zeros(nBasis,1);
             sV(iBasis) = 1;
             s = ConstantFunction.create(sV,obj.mesh);
         end
 
+        function s = createSndOrderDeformationBasis(obj,coord,iBasis) 
+            nBasis = obj.computeNbasis();
+            sV = zeros(nBasis,1);
+            sV(iBasis) = 1;
+            eta = ConstantFunction.create(sV,obj.mesh);
+            Y1  = AnalyticalFunction.create(@(x) x(coord,:,:),1,obj.mesh);
+            s = eta.*Y1;
+            s.ndimf = nBasis;
+        end
+
         function nBasis = computeNbasis(obj)
-            homogOrder = 1;
             nDim = obj.mesh.ndim;
-            nBasis = homogOrder*nDim*(nDim+1)/2;
+            nBasis=nDim*(nDim+1)/2;
         end
 
         function dim = getFunDims(obj)
diff --git a/src/Solver/ProblemSolver.m b/src/Solver/ProblemSolver.m
index 221133cbdb..e540f0f569 100644
--- a/src/Solver/ProblemSolver.m
+++ b/src/Solver/ProblemSolver.m
@@ -116,12 +116,14 @@ case strcmp(obj.type, 'REDUCED') && strcmp(obj.mode, 'DISP')
                 case strcmp(obj.type, 'MONOLITHIC') && strcmp(obj.mode, 'FLUC')
                     CtDir = bcapp.computeLinearConditionsMatrix('Dirac');
                     CtPer = bcapp.computeLinearPeriodicConditionsMatrix();
-                    Ct = [CtPer; CtDir];
-                    C   = Ct';
-                    nC  = size(Ct,1);
-                    Z   = zeros(nC);
-                    Km  = stiffness;
-                    LHS = [Km C; C' Z];
+                    CtCs  = bcapp.computeLinearConditionsMatrix('Analytical');
+                    Cv    = bcapp.computeVoluMatrix();
+                    Ct      = [CtPer; CtDir; CtCs';Cv'];
+                    C       = Ct';
+                    nC      = size(Ct,1);
+                    Z       = zeros(nC);
+                    Km      = stiffness;
+                    LHS     = [Km C; C' Z];
                 case strcmp(obj.type, 'REDUCED') && strcmp(obj.mode, 'FLUC')
                     lead = bcs.periodic_leader;
                     fllw = bcs.periodic_follower;
@@ -164,7 +166,7 @@ case strcmp(obj.type, 'REDUCED') && strcmp(obj.mode, 'DISP')
                     RHS = forces(free_dofs);
                 case strcmp(obj.type, 'MONOLITHIC') && strcmp(obj.mode, 'FLUC')
                     nPer = length(bcs.periodic_leader);
-                    RHS = [forces; zeros(nPer,1); bcs.dirichlet_vals];
+                    RHS = [forces; zeros(nPer,1); bcs.dirichlet_vals; [0;0;0;0;0]];
                 case strcmp(obj.type, 'REDUCED') && strcmp(obj.mode, 'FLUC')
                     lead = bcs.periodic_leader;
                     fllw = bcs.periodic_follower;

From 130176823a499eb944be397e15008d3faf8b88b5 Mon Sep 17 00:00:00 2001
From: Matheus <matheusvictor.doprado@gmail.com>
Date: Thu, 1 May 2025 00:54:22 +0200
Subject: [PATCH 04/24] "More changes to second order implementation"

---
 src/Problems/Elasticity/ElasticProblemMicro.m | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/src/Problems/Elasticity/ElasticProblemMicro.m b/src/Problems/Elasticity/ElasticProblemMicro.m
index 339c50517e..33412467c8 100644
--- a/src/Problems/Elasticity/ElasticProblemMicro.m
+++ b/src/Problems/Elasticity/ElasticProblemMicro.m
@@ -129,7 +129,7 @@ function createTrialFun(obj)
             eta = ConstantFunction.create(sV,obj.mesh);
             Y1  = AnalyticalFunction.create(@(x) x(coord,:,:),1,obj.mesh);
             s = eta.*Y1;
-            s.ndimf = nBasis;
+            % s.ndimf = nBasis;
         end
 
         function nBasis = computeNbasis(obj)

From fa968b4548d2991011d4932e8fee96ef03321cca Mon Sep 17 00:00:00 2001
From: Matheus <matheusvictor.doprado@gmail.com>
Date: Thu, 1 May 2025 01:17:57 +0200
Subject: [PATCH 05/24] misc

---
 src/Problems/Elasticity/ElasticProblemMicro.m | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/src/Problems/Elasticity/ElasticProblemMicro.m b/src/Problems/Elasticity/ElasticProblemMicro.m
index 33412467c8..a312d2ce27 100644
--- a/src/Problems/Elasticity/ElasticProblemMicro.m
+++ b/src/Problems/Elasticity/ElasticProblemMicro.m
@@ -62,10 +62,10 @@
             % obj.Chomog = Ch;
         end
 
-        function uT = computeTotal(obj,strainB)
+        function uM = computeTotal(obj,strainB)
             Y  = AnalyticalFunction.create(@(x) x,2,obj.mesh);
             uMF = @(xV) obj.obtainMacroscopicDisplacement(xV,strainB,Y);
-            uT = AnalyticalFunction.create(uMF,2,obj.mesh);
+            uM = AnalyticalFunction.create(uMF,2,obj.mesh);
         end 
 
         function uM = obtainMacroscopicDisplacement(xV,strain,Y)

From 22b407180261d826f47d1460bd615365c7c42bc0 Mon Sep 17 00:00:00 2001
From: Matheus <matheusvictor.doprado@gmail.com>
Date: Thu, 1 May 2025 18:39:18 +0200
Subject: [PATCH 06/24] "Eta Added to total displacements"

---
 src/Problems/Elasticity/ElasticProblemMicro.m | 48 +++++++++++--------
 1 file changed, 29 insertions(+), 19 deletions(-)

diff --git a/src/Problems/Elasticity/ElasticProblemMicro.m b/src/Problems/Elasticity/ElasticProblemMicro.m
index a312d2ce27..03e6906bdf 100644
--- a/src/Problems/Elasticity/ElasticProblemMicro.m
+++ b/src/Problems/Elasticity/ElasticProblemMicro.m
@@ -35,49 +35,59 @@
 
                 if iB <= 3
                     s = obj.createDeformationBasis(iB);
-                    iBasis = iB;
+                    index = iB;
                 elseif iB <= 6
-                    iBasis = iB - 3;
+                    index = iB - 3;
                     coord = 1;
-                    s = obj.createSndOrderDeformationBasis(coord, iBasis);
+                    s = obj.createSndOrderDeformationBasis(coord, index);
                 else
-                    iBasis = iB - 6;
+                    index = iB - 6;
                     coord = 2;
-                    s = obj.createSndOrderDeformationBasis(coord, iBasis);
+                    s = obj.createSndOrderDeformationBasis(coord, index);
                 end
                 
                 strainB     = s;
                 RHS         = obj.computeRHS(strainB,LHS);
-                uF{iB}      = obj.computeDisplacement(LHS,RHS,iBasis,nBasis);
+                uF{iB}      = obj.computeDisplacement(LHS,RHS,index,nBasis);
                 strainF{iB} = strainB+SymGrad(uF{iB});
                 stressF{iB} = DDP(obj.material, strainF{iB});
                 %  Ch(:,iB)    = obj.computeChomog(stressF{iB},iB);
-                uM     = obj.computeTotal(strainB);
+                uM     = obj.computeTotal(strainB,iB);
                 uT{iB} = uF{iB} + uM;
+                
             end
-
             obj.uFluc  = uF;
             obj.strain = strainF;
             obj.stress = stressF;
             % obj.Chomog = Ch;
         end
 
-        function uM = computeTotal(obj,strainB)
+        function uM = computeTotal(obj,strainB,iB)
             Y  = AnalyticalFunction.create(@(x) x,2,obj.mesh);
-            uMF = @(xV) obj.obtainMacroscopicDisplacement(xV,strainB,Y);
+            uMF = @(xV) obj.obtainMacroscopicDisplacement(xV,strainB,Y,iB);
             uM = AnalyticalFunction.create(uMF,2,obj.mesh);
         end 
 
-        function uM = obtainMacroscopicDisplacement(xV,strain,Y)
-            e  = strain.evaluate(xV);            
-            y = Y.evaluate(xV);
-            y1 = y(1,:,:);
-            y2 = y(2,:,:);
-            ex = e(1,:,:);
-            ey = e(2,:,:);
+        function uM = obtainMacroscopicDisplacement(obj,xV,strain,Y,iB)
+            y   = Y.evaluate(xV);
+            e   = strain.evaluate(xV);
+            y1  = y(1,:,:);
+            y2  = y(2,:,:);
+
+            ex  = e(1,:,:);  
+            ey  = e(2,:,:);
             exy = e(3,:,:);
-            uM(1,:,:) = ex.*y1 + exy.*y2;
-            uM(2,:,:) = exy.*y1 + ey.*y2;
+
+            if iB <= 3
+                uM(1,:,:) = ex  .* y1 + exy .* y2;
+                uM(2,:,:) = exy .* y1 + ey  .* y2;
+            elseif iB <= 6
+                quadTerm = ex .* y1.^2 + 2 * exy .* y1 .* y2 + ey .* y2.^2;
+                uM(1,:,:) = 0.5 * quadTerm;
+            else
+                quadTerm = ex .* y1.^2 + 2 * exy .* y1 .* y2 + ey .* y2.^2;
+                uM(2,:,:) = 0.5 * quadTerm;
+            end
         end
 
         function v = computeGeometricalVolume(obj)

From 5da0e5c6048496ce3c5ff6590b6da889861b9cc1 Mon Sep 17 00:00:00 2001
From: Matheus <matheusvictor.doprado@gmail.com>
Date: Sun, 4 May 2025 19:45:38 +0200
Subject: [PATCH 07/24] "Ord2 Homog Final"

---
 Tutorials/Tutorial02p2FEMElasticityMicro.m    |  1 +
 src/Problems/Elasticity/ElasticProblemMicro.m | 64 ++++++++++++++-----
 2 files changed, 48 insertions(+), 17 deletions(-)

diff --git a/Tutorials/Tutorial02p2FEMElasticityMicro.m b/Tutorials/Tutorial02p2FEMElasticityMicro.m
index e5b0962b51..ec6096a274 100644
--- a/Tutorials/Tutorial02p2FEMElasticityMicro.m
+++ b/Tutorials/Tutorial02p2FEMElasticityMicro.m
@@ -67,6 +67,7 @@ function solveElasticProblem(obj)
             s.scale = 'MICRO';
             s.material = obj.material;
             s.dim = '2D';
+            s.homogOrd = 2;
             s.boundaryConditions = obj.createBoundaryConditions();
             % Options: REDUCED-FLUC / MONOLITHIC-FLUC / MONOLITHIC-DISP
             s.solverCase = 'DIRECT';
diff --git a/src/Problems/Elasticity/ElasticProblemMicro.m b/src/Problems/Elasticity/ElasticProblemMicro.m
index 03e6906bdf..257dfe0763 100644
--- a/src/Problems/Elasticity/ElasticProblemMicro.m
+++ b/src/Problems/Elasticity/ElasticProblemMicro.m
@@ -1,7 +1,7 @@
 classdef ElasticProblemMicro < handle
-    
+
     properties (Access = public)
-        uFluc, strain, stress
+        uFluc, strain, stress, uTotal
         Chomog
     end
 
@@ -13,6 +13,7 @@
         solverType, solverMode, solverCase
         lagrangeMultipliers
         problemSolver
+        homogOrd
     end
 
     methods (Access = public)
@@ -24,11 +25,17 @@
             obj.createSolver();
         end
 
-        function obj = solve(obj)
+        function obj = solve(obj)     
             LHS = obj.computeLHS();
             %    oX     = zeros(obj.getDimensions().ndimf,1);
             nBasis = obj.computeNbasis();
-            nTerms = 3*nBasis;
+
+            if obj.homogOrd == 1
+                nTerms = nBasis;
+            else
+                nTerms = 3*nBasis;
+            end
+
             % obj.Chomog = zeros(nBasis, nBasis);
 
             for iB = 1:nTerms
@@ -45,18 +52,26 @@
                     coord = 2;
                     s = obj.createSndOrderDeformationBasis(coord, index);
                 end
-                
+
                 strainB     = s;
                 RHS         = obj.computeRHS(strainB,LHS);
                 uF{iB}      = obj.computeDisplacement(LHS,RHS,index,nBasis);
-                strainF{iB} = strainB+SymGrad(uF{iB});
+
+                if iB <= 3
+                    strainF{iB} = strainB+SymGrad(uF{iB});
+                else
+                    strainTorque = obj.computeStrainTorque(strainB);
+                    strainF{iB} = strainTorque + SymGrad(uF{iB});
+                end
+
                 stressF{iB} = DDP(obj.material, strainF{iB});
                 %  Ch(:,iB)    = obj.computeChomog(stressF{iB},iB);
                 uM     = obj.computeTotal(strainB,iB);
                 uT{iB} = uF{iB} + uM;
-                
+
             end
             obj.uFluc  = uF;
+            obj.uTotal = uT;
             obj.strain = strainF;
             obj.stress = stressF;
             % obj.Chomog = Ch;
@@ -66,18 +81,16 @@
             Y  = AnalyticalFunction.create(@(x) x,2,obj.mesh);
             uMF = @(xV) obj.obtainMacroscopicDisplacement(xV,strainB,Y,iB);
             uM = AnalyticalFunction.create(uMF,2,obj.mesh);
-        end 
+        end
 
         function uM = obtainMacroscopicDisplacement(obj,xV,strain,Y,iB)
             y   = Y.evaluate(xV);
             e   = strain.evaluate(xV);
             y1  = y(1,:,:);
             y2  = y(2,:,:);
-
-            ex  = e(1,:,:);  
+            ex  = e(1,:,:);
             ey  = e(2,:,:);
             exy = e(3,:,:);
-
             if iB <= 3
                 uM(1,:,:) = ex  .* y1 + exy .* y2;
                 uM(2,:,:) = exy .* y1 + ey  .* y2;
@@ -89,15 +102,33 @@
                 uM(2,:,:) = 0.5 * quadTerm;
             end
         end
+        
+        function sT = computeStrainTorque(obj,strainB)
+            Y  = AnalyticalFunction.create(@(x) x,2,obj.mesh);
+            sTF = @(xV) obj.obtainStrainTorque(xV,strainB,Y);
+            sT = AnalyticalFunction.create(sTF,2,obj.mesh);
+        end
+
+        function sT = obtainStrainTorque(obj,xV,strain,Y)
+            y   = Y.evaluate(xV);
+            e   = strain.evaluate(xV);
+            y1  = y(1,:,:);
+            y2  = y(2,:,:);
+            ex  = e(1,:,:);
+            ey  = e(2,:,:);
+            exy = e(3,:,:);
+            sT(1,:,:) = ex.*y1+exy.*y2; 
+            sT(2,:,:) = exy.*y1+ey.*y2;
+        end
 
         function v = computeGeometricalVolume(obj)
             v = 1;%sum(sum(obj.geometry.dvolu));
         end
 
         function setMatProps(obj,s)
-           obj.material.compute(s);
+            obj.material.compute(s);
         end
-        
+
         function updateMaterial(obj, mat)
             obj.material = mat;
         end
@@ -119,6 +150,7 @@ function init(obj, cParams)
             obj.solverMode = cParams.solverMode;
             obj.boundaryConditions = cParams.boundaryConditions;
             obj.solverCase  = cParams.solverCase;
+            obj.homogOrd = cParams.homogOrd;
         end
 
         function createTrialFun(obj)
@@ -132,7 +164,7 @@ function createTrialFun(obj)
             s = ConstantFunction.create(sV,obj.mesh);
         end
 
-        function s = createSndOrderDeformationBasis(obj,coord,iBasis) 
+        function s = createSndOrderDeformationBasis(obj,coord,iBasis)
             nBasis = obj.computeNbasis();
             sV = zeros(nBasis,1);
             sV(iBasis) = 1;
@@ -208,7 +240,7 @@ function createSolver(obj)
             obj.lagrangeMultipliers = L;
             uSplit = reshape(u,[obj.mesh.ndim,obj.mesh.nnodes])';
             uFun = copy(obj.trialFun);
-            uFun.setFValues(uSplit);            
+            uFun.setFValues(uSplit);
         end
 
         function Chomog = computeChomog(obj,stress,iBase)
@@ -242,6 +274,4 @@ function createSolver(obj)
 
     end
 
-    
-
 end

From 5d57d57dd3b2d6c7a896d6258ce29c775e1eb39f Mon Sep 17 00:00:00 2001
From: Matheus <matheusvictor.doprado@gmail.com>
Date: Sun, 4 May 2025 22:28:47 +0200
Subject: [PATCH 08/24] "Ord2 Changes strainTorque needs work"

---
 src/Problems/Elasticity/ElasticProblemMicro.m | 38 +++++++++----------
 1 file changed, 18 insertions(+), 20 deletions(-)

diff --git a/src/Problems/Elasticity/ElasticProblemMicro.m b/src/Problems/Elasticity/ElasticProblemMicro.m
index 257dfe0763..b45db9e58d 100644
--- a/src/Problems/Elasticity/ElasticProblemMicro.m
+++ b/src/Problems/Elasticity/ElasticProblemMicro.m
@@ -46,10 +46,12 @@
                 elseif iB <= 6
                     index = iB - 3;
                     coord = 1;
+                    strainTorque = obj.computeStrainTorque(index, iB);
                     s = obj.createSndOrderDeformationBasis(coord, index);
                 else
                     index = iB - 6;
                     coord = 2;
+                    strainTorque = obj.computeStrainTorque(index, iB);
                     s = obj.createSndOrderDeformationBasis(coord, index);
                 end
 
@@ -58,10 +60,9 @@
                 uF{iB}      = obj.computeDisplacement(LHS,RHS,index,nBasis);
 
                 if iB <= 3
-                    strainF{iB} = strainB+SymGrad(uF{iB});
+                    strainF{iB} = SymGrad(uF{iB}) + strainB;
                 else
-                    strainTorque = obj.computeStrainTorque(strainB);
-                    strainF{iB} = strainTorque + SymGrad(uF{iB});
+                    strainF{iB} = SymGrad(uF{iB}) + strainTorque;  
                 end
 
                 stressF{iB} = DDP(obj.material, strainF{iB});
@@ -103,22 +104,20 @@
             end
         end
         
-        function sT = computeStrainTorque(obj,strainB)
-            Y  = AnalyticalFunction.create(@(x) x,2,obj.mesh);
-            sTF = @(xV) obj.obtainStrainTorque(xV,strainB,Y);
-            sT = AnalyticalFunction.create(sTF,2,obj.mesh);
-        end
-
-        function sT = obtainStrainTorque(obj,xV,strain,Y)
-            y   = Y.evaluate(xV);
-            e   = strain.evaluate(xV);
-            y1  = y(1,:,:);
-            y2  = y(2,:,:);
-            ex  = e(1,:,:);
-            ey  = e(2,:,:);
-            exy = e(3,:,:);
-            sT(1,:,:) = ex.*y1+exy.*y2; 
-            sT(2,:,:) = exy.*y1+ey.*y2;
+        function sT = computeStrainTorque(obj, index, iB)
+            nBasis = obj.computeNbasis();
+            eta1Array = zeros(nBasis,1);
+            eta2Array = zeros(nBasis,1);
+            if iB <= 6
+                eta1Array(index) = 1;
+            else
+                eta2Array(index) = 1;
+            end
+            eta1 = ConstantFunction.create(eta1Array, obj.mesh);
+            eta2 = ConstantFunction.create(eta2Array, obj.mesh);
+            Y1 = AnalyticalFunction.create(@(x) x(1,:,:), 1, obj.mesh); 
+            Y2 = AnalyticalFunction.create(@(x) x(2,:,:), 1, obj.mesh);  
+            sT = eta1 .* Y1 + eta2 .* Y2;
         end
 
         function v = computeGeometricalVolume(obj)
@@ -171,7 +170,6 @@ function createTrialFun(obj)
             eta = ConstantFunction.create(sV,obj.mesh);
             Y1  = AnalyticalFunction.create(@(x) x(coord,:,:),1,obj.mesh);
             s = eta.*Y1;
-            % s.ndimf = nBasis;
         end
 
         function nBasis = computeNbasis(obj)

From 91e3bd93e6b75306f74a157828737d2684dc84b6 Mon Sep 17 00:00:00 2001
From: Matheus <matheusvictor.doprado@gmail.com>
Date: Wed, 7 May 2025 11:47:47 +0200
Subject: [PATCH 09/24] "ch"

RVE COORD MOVED TO CENTROID
---
 Tutorials/Tutorial02p2FEMElasticityMicro.m | 3 ++-
 src/Mesh/Utilities/TriangleMesh.m          | 4 ++--
 2 files changed, 4 insertions(+), 3 deletions(-)

diff --git a/Tutorials/Tutorial02p2FEMElasticityMicro.m b/Tutorials/Tutorial02p2FEMElasticityMicro.m
index ec6096a274..5e07b3a972 100644
--- a/Tutorials/Tutorial02p2FEMElasticityMicro.m
+++ b/Tutorials/Tutorial02p2FEMElasticityMicro.m
@@ -29,7 +29,8 @@ function createMesh(obj)
             uMesh              = UnfittedMesh(sUm);
             uMesh.compute(ls);
             holeMesh = uMesh.createInnerMesh();
-            obj.mesh = holeMesh;
+            %obj.mesh = holeMesh;
+            obj.mesh = fullmesh;
         end
 
         function ls = computeCircleLevelSet(obj, mesh)
diff --git a/src/Mesh/Utilities/TriangleMesh.m b/src/Mesh/Utilities/TriangleMesh.m
index 47700f9da0..5efc5637e3 100644
--- a/src/Mesh/Utilities/TriangleMesh.m
+++ b/src/Mesh/Utilities/TriangleMesh.m
@@ -1,7 +1,7 @@
 function m = TriangleMesh(length, height, nx, ny)
     % Generate coordinates
-    x1 = linspace(0,length,nx);
-    x2 = linspace(0,height,ny);
+    x1 = linspace(-length/2,length/2,nx);
+    x2 = linspace(-height/2,height/2,ny);
     % Create the grid
     [xv,yv] = meshgrid(x1,x2);
     % Triangulate the mesh to obtain coordinates and connectivities

From 4d7be5e4598278355d817b4274d57e7a774d57e4 Mon Sep 17 00:00:00 2001
From: Matheus <matheusvictor.doprado@gmail.com>
Date: Wed, 14 May 2025 11:21:56 +0200
Subject: [PATCH 10/24] dsa

---
 Tutorials/Tutorial02p2FEMElasticityMicro.m | 6 +++---
 1 file changed, 3 insertions(+), 3 deletions(-)

diff --git a/Tutorials/Tutorial02p2FEMElasticityMicro.m b/Tutorials/Tutorial02p2FEMElasticityMicro.m
index 5e07b3a972..99cf877d41 100644
--- a/Tutorials/Tutorial02p2FEMElasticityMicro.m
+++ b/Tutorials/Tutorial02p2FEMElasticityMicro.m
@@ -22,15 +22,15 @@
     methods (Access = private)
         
         function createMesh(obj)
-            fullmesh = UnitTriangleMesh(20,20);
+            fullmesh = UnitTriangleMesh(30,30);
             ls = obj.computeCircleLevelSet(fullmesh);
             sUm.backgroundMesh = fullmesh;
             sUm.boundaryMesh   = fullmesh.createBoundaryMesh;
             uMesh              = UnfittedMesh(sUm);
             uMesh.compute(ls);
             holeMesh = uMesh.createInnerMesh();
-            %obj.mesh = holeMesh;
-            obj.mesh = fullmesh;
+            obj.mesh = holeMesh;
+            %obj.mesh = fullmesh;
         end
 
         function ls = computeCircleLevelSet(obj, mesh)

From 07ddc76e658a54997f90a10bd1a4ae647f246e87 Mon Sep 17 00:00:00 2001
From: FerrerFerreAlex <32134913+FerrerFerreAlex@users.noreply.github.com>
Date: Wed, 21 May 2025 11:51:06 +0200
Subject: [PATCH 11/24] "ch"

---
 Hola2.vtu                                  | 5955 ++++++++++++++++++++
 Tutorials/Tutorial02p2FEMElasticityMicro.m |   20 +-
 src/Mesh/Utilities/TriangleMesh.m          |    4 +-
 3 files changed, 5974 insertions(+), 5 deletions(-)
 create mode 100644 Hola2.vtu

diff --git a/Hola2.vtu b/Hola2.vtu
new file mode 100644
index 0000000000..806f5a232e
--- /dev/null
+++ b/Hola2.vtu
@@ -0,0 +1,5955 @@
+<?xml version="1.0" encoding="utf-8"?>
+<VTKFile byte_order="LittleEndian" type="UnstructuredGrid" version="0.1">
+   <UnstructuredGrid>
+      <Piece NumberOfCells="2840" NumberOfPoints="1548">
+         <Points>
+            <DataArray Name="Points" NumberOfComponents="3" format="ascii" type="Float32">
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+ 8.91167e-02 -3.83950e-02        00000 
+ 8.73062e-02 -3.99525e-02        00000 
+ 8.48066e-02 -4.11640e-02        00000 
+ 7.82588e-02 -4.22578e-02        00000 
+ 8.33409e-02 -4.09736e-02        00000 
+ 8.64856e-02 -3.93214e-02        00000 
+ 8.11098e-02 -4.20903e-02        00000 
+ 7.75715e-02 -4.15364e-02        00000 
+ 7.41602e-02 -4.13523e-02        00000 
+ 7.30506e-02 -4.10117e-02        00000 
+ 8.67195e-02 -3.58383e-02        00000 
+ 8.87926e-02 -3.53436e-02        00000 
+ 8.89517e-02 -3.71136e-02        00000 
+ 8.98645e-02 -3.71109e-02        00000 
+ 8.93851e-02 -3.82791e-02        00000 
+ 8.88100e-02 -3.85543e-02        00000 </DataArray>
+         </PointData>
+         <CellData/>
+      </Piece>
+   </UnstructuredGrid>
+</VTKFile>
\ No newline at end of file
diff --git a/Tutorials/Tutorial02p2FEMElasticityMicro.m b/Tutorials/Tutorial02p2FEMElasticityMicro.m
index 99cf877d41..b742c1a1d7 100644
--- a/Tutorials/Tutorial02p2FEMElasticityMicro.m
+++ b/Tutorials/Tutorial02p2FEMElasticityMicro.m
@@ -22,7 +22,21 @@
     methods (Access = private)
         
         function createMesh(obj)
-            fullmesh = UnitTriangleMesh(30,30);
+            l = 1;
+            h = 1;
+            nx = 30; 
+            ny = 30;
+            x1 = linspace(-l/2,l/2,nx);
+            x2 = linspace(-h/2,h/2,ny);
+            % Create the grid
+            [xv,yv] = meshgrid(x1,x2);
+            % Triangulate the mesh to obtain coordinates and connectivities
+            [F,V] = mesh2tri(xv,yv,zeros(size(xv)),'x');
+            s.coord  = V(:,1:2);
+            s.connec = F;
+            fullmesh = Mesh.create(s);
+
+       %     fullmesh = UnitTriangleMesh(50,50);
             ls = obj.computeCircleLevelSet(fullmesh);
             sUm.backgroundMesh = fullmesh;
             sUm.boundaryMesh   = fullmesh.createBoundaryMesh;
@@ -36,8 +50,8 @@ function createMesh(obj)
         function ls = computeCircleLevelSet(obj, mesh)
             gPar.type          = 'Circle';
             gPar.radius        = 0.25;
-            gPar.xCoorCenter   = 0.5;
-            gPar.yCoorCenter   = 0.5;
+            gPar.xCoorCenter   = 0;
+            gPar.yCoorCenter   = 0;
             g                  = GeometricalFunction(gPar);
             phiFun             = g.computeLevelSetFunction(mesh);
             lsCircle           = phiFun.fValues;
diff --git a/src/Mesh/Utilities/TriangleMesh.m b/src/Mesh/Utilities/TriangleMesh.m
index 5efc5637e3..47700f9da0 100644
--- a/src/Mesh/Utilities/TriangleMesh.m
+++ b/src/Mesh/Utilities/TriangleMesh.m
@@ -1,7 +1,7 @@
 function m = TriangleMesh(length, height, nx, ny)
     % Generate coordinates
-    x1 = linspace(-length/2,length/2,nx);
-    x2 = linspace(-height/2,height/2,ny);
+    x1 = linspace(0,length,nx);
+    x2 = linspace(0,height,ny);
     % Create the grid
     [xv,yv] = meshgrid(x1,x2);
     % Triangulate the mesh to obtain coordinates and connectivities

From 87ab6fe2ee84750e18d64185cfc50d1ccc36c815 Mon Sep 17 00:00:00 2001
From: Matheus <matheusvictor.doprado@gmail.com>
Date: Fri, 23 May 2025 21:23:22 +0200
Subject: [PATCH 12/24] Changes

---
 Tutorials/Tutorial02p2FEMElasticityMicro.m    |   9 +++--
 .../MasterSlave/MasterSlaveRelator.m          |   4 +-
 src/Mesh/NegPoissMesh.mat                     | Bin 0 -> 109873 bytes
 src/Problems/Elasticity/ElasticProblemMicro.m |  35 +++++++++++-------
 4 files changed, 30 insertions(+), 18 deletions(-)
 create mode 100644 src/Mesh/NegPoissMesh.mat

diff --git a/Tutorials/Tutorial02p2FEMElasticityMicro.m b/Tutorials/Tutorial02p2FEMElasticityMicro.m
index b742c1a1d7..db63b0ac9a 100644
--- a/Tutorials/Tutorial02p2FEMElasticityMicro.m
+++ b/Tutorials/Tutorial02p2FEMElasticityMicro.m
@@ -36,15 +36,18 @@ function createMesh(obj)
             s.connec = F;
             fullmesh = Mesh.create(s);
 
-       %     fullmesh = UnitTriangleMesh(50,50);
+            load('NegPoissMesh.mat');
+
+            % fullmesh = UnitTriangleMesh(50,50);
             ls = obj.computeCircleLevelSet(fullmesh);
             sUm.backgroundMesh = fullmesh;
             sUm.boundaryMesh   = fullmesh.createBoundaryMesh;
             uMesh              = UnfittedMesh(sUm);
             uMesh.compute(ls);
             holeMesh = uMesh.createInnerMesh();
-            obj.mesh = holeMesh;
-            %obj.mesh = fullmesh;
+            %obj.mesh = holeMesh;
+            obj.mesh = fullmesh;
+            %obj.mesh = NegPoissMesh;
         end
 
         function ls = computeCircleLevelSet(obj, mesh)
diff --git a/src/BoundaryConditions/MasterSlave/MasterSlaveRelator.m b/src/BoundaryConditions/MasterSlave/MasterSlaveRelator.m
index ccd7eb68c0..af37e4c95a 100644
--- a/src/BoundaryConditions/MasterSlave/MasterSlaveRelator.m
+++ b/src/BoundaryConditions/MasterSlave/MasterSlaveRelator.m
@@ -178,7 +178,7 @@ function avoidEdges(obj)
             xB = pos(nodeB,1);
             distAB = abs(xA - xB);
             [distMin,isClosest] = min(distAB);
-            if distMin > 1e-10
+            if distMin > 1e-4
                 error('non slave node')
             end
             closestNodeB = nodeB(isClosest);
@@ -194,7 +194,7 @@ function avoidEdges(obj)
             distAB = sqrt((xA - xB).^2 + (yA - yB).^2);
             [distMin, isClosest] = min(distAB);
             
-            if distMin > 1e-10
+            if distMin > 1e-4
                 error('non slave node')
             end
             closestNodeB = nodeB(isClosest);
diff --git a/src/Mesh/NegPoissMesh.mat b/src/Mesh/NegPoissMesh.mat
new file mode 100644
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HcmV?d00001

diff --git a/src/Problems/Elasticity/ElasticProblemMicro.m b/src/Problems/Elasticity/ElasticProblemMicro.m
index b45db9e58d..a200666cc8 100644
--- a/src/Problems/Elasticity/ElasticProblemMicro.m
+++ b/src/Problems/Elasticity/ElasticProblemMicro.m
@@ -46,13 +46,13 @@
                 elseif iB <= 6
                     index = iB - 3;
                     coord = 1;
-                    strainTorque = obj.computeStrainTorque(index, iB);
                     s = obj.createSndOrderDeformationBasis(coord, index);
+                    strainTorque = obj.computeStrainTorque(index, iB, s);
                 else
                     index = iB - 6;
                     coord = 2;
-                    strainTorque = obj.computeStrainTorque(index, iB);
                     s = obj.createSndOrderDeformationBasis(coord, index);
+                    strainTorque = obj.computeStrainTorque(index, iB, s);
                 end
 
                 strainB     = s;
@@ -104,20 +104,29 @@
             end
         end
         
-        function sT = computeStrainTorque(obj, index, iB)
-            nBasis = obj.computeNbasis();
-            eta1Array = zeros(nBasis,1);
-            eta2Array = zeros(nBasis,1);
+        function sT = computeStrainTorque(obj, index, iB,eta)
+            Y  = AnalyticalFunction.create(@(x) x,2,obj.mesh);
+            sTF = @(xV) obj.obtainStrainTorque(xV,Y,iB,eta);
+            sT = AnalyticalFunction.create(sTF,3,obj.mesh);
+        end
+
+        function sT = obtainStrainTorque(obj,xV,Y,iB,eta)
+            y   = Y.evaluate(xV);
+            e   = eta.evaluate(xV);
+            y1  = y(1,:,:);
+            y2  = y(2,:,:);
+            ex  = e(1,:,:);
+            ey  = e(2,:,:);
+            exy = e(3,:,:);         
             if iB <= 6
-                eta1Array(index) = 1;
+                sT(1,:,:) = ex .* y1;
+                sT(2,:,:) = ey .* y1;
+                sT(3,:,:) = exy .* y1;
             else
-                eta2Array(index) = 1;
+                sT(1,:,:) = ex .* y2;
+                sT(2,:,:) = ey .* y2;
+                sT(3,:,:) = exy .* y2;               
             end
-            eta1 = ConstantFunction.create(eta1Array, obj.mesh);
-            eta2 = ConstantFunction.create(eta2Array, obj.mesh);
-            Y1 = AnalyticalFunction.create(@(x) x(1,:,:), 1, obj.mesh); 
-            Y2 = AnalyticalFunction.create(@(x) x(2,:,:), 1, obj.mesh);  
-            sT = eta1 .* Y1 + eta2 .* Y2;
         end
 
         function v = computeGeometricalVolume(obj)

From 8792ae486dc62b37158c6d13f6a585d1907a1adc Mon Sep 17 00:00:00 2001
From: Matheus <matheusvictor.doprado@gmail.com>
Date: Fri, 23 May 2025 22:16:12 +0200
Subject: [PATCH 13/24] Update Tutorial02p2FEMElasticityMicro.m

---
 Tutorials/Tutorial02p2FEMElasticityMicro.m | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Tutorials/Tutorial02p2FEMElasticityMicro.m b/Tutorials/Tutorial02p2FEMElasticityMicro.m
index db63b0ac9a..33fb55ca46 100644
--- a/Tutorials/Tutorial02p2FEMElasticityMicro.m
+++ b/Tutorials/Tutorial02p2FEMElasticityMicro.m
@@ -36,7 +36,7 @@ function createMesh(obj)
             s.connec = F;
             fullmesh = Mesh.create(s);
 
-            load('NegPoissMesh.mat');
+            %load('NegPoissMesh.mat');
 
             % fullmesh = UnitTriangleMesh(50,50);
             ls = obj.computeCircleLevelSet(fullmesh);

From f62c841229e8844dd1b9582d96934f39daa55d3d Mon Sep 17 00:00:00 2001
From: Matheus <matheusvictor.doprado@gmail.com>
Date: Wed, 28 May 2025 11:08:32 +0200
Subject: [PATCH 14/24] dsa

---
 Tutorials/Tutorial02p2FEMElasticityMicro.m |   3 ++-
 src/Mesh/AuxeticMesh.mat                   | Bin 0 -> 424489 bytes
 2 files changed, 2 insertions(+), 1 deletion(-)
 create mode 100644 src/Mesh/AuxeticMesh.mat

diff --git a/Tutorials/Tutorial02p2FEMElasticityMicro.m b/Tutorials/Tutorial02p2FEMElasticityMicro.m
index 33fb55ca46..e14c08179e 100644
--- a/Tutorials/Tutorial02p2FEMElasticityMicro.m
+++ b/Tutorials/Tutorial02p2FEMElasticityMicro.m
@@ -36,7 +36,8 @@ function createMesh(obj)
             s.connec = F;
             fullmesh = Mesh.create(s);
 
-            %load('NegPoissMesh.mat');
+            load('src\Mesh\NegPoissMesh.mat');
+            %auxmesh = load('src\Mesh\AuxeticMesh.mat');
 
             % fullmesh = UnitTriangleMesh(50,50);
             ls = obj.computeCircleLevelSet(fullmesh);
diff --git a/src/Mesh/AuxeticMesh.mat b/src/Mesh/AuxeticMesh.mat
new file mode 100644
index 0000000000000000000000000000000000000000..2fcc98a3ee4c0013c511c832e300fa97d28a6fef
GIT binary patch
literal 424489
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HcmV?d00001


From 3ed5402981ec264547979bb774e58ec556de9144 Mon Sep 17 00:00:00 2001
From: FerrerFerreAlex <32134913+FerrerFerreAlex@users.noreply.github.com>
Date: Wed, 28 May 2025 11:58:24 +0200
Subject: [PATCH 15/24] "ch"

---
 Hola10.vtu                                    | 5955 ++++++++++++
 Hola12.vtu                                    | 5955 ++++++++++++
 Hola13.vtu                                    | 5955 ++++++++++++
 Hola15.vtu                                    | 5955 ++++++++++++
 Hola4.vtu                                     | 5955 ++++++++++++
 Hola5.vtu                                     | 5955 ++++++++++++
 Hola6.vtu                                     | 8627 +++++++++++++++++
 Hola7.vtu                                     | 8627 +++++++++++++++++
 Hola8.vtu                                     | 8627 +++++++++++++++++
 Hola9.vtu                                     | 8627 +++++++++++++++++
 Tutorials/Tutorial02p2FEMElasticityMicro.m    |   22 +-
 src/Problems/Elasticity/ElasticProblemMicro.m |    1 +
 12 files changed, 70255 insertions(+), 6 deletions(-)
 create mode 100644 Hola10.vtu
 create mode 100644 Hola12.vtu
 create mode 100644 Hola13.vtu
 create mode 100644 Hola15.vtu
 create mode 100644 Hola4.vtu
 create mode 100644 Hola5.vtu
 create mode 100644 Hola6.vtu
 create mode 100644 Hola7.vtu
 create mode 100644 Hola8.vtu
 create mode 100644 Hola9.vtu

diff --git a/Hola10.vtu b/Hola10.vtu
new file mode 100644
index 0000000000..549f267f04
--- /dev/null
+++ b/Hola10.vtu
@@ -0,0 +1,5955 @@
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diff --git a/Hola4.vtu b/Hola4.vtu
new file mode 100644
index 0000000000..ec8562de5f
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diff --git a/Hola8.vtu b/Hola8.vtu
new file mode 100644
index 0000000000..e52a0230cc
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+ 1.24360e-02  6.33339e-03        00000 
+ 1.30174e-02  6.51257e-03        00000 
+-5.15958e-02  3.79180e-02        00000 
+ 1.12014e-02 -1.98147e-02        00000 
+ 2.64291e-02 -5.42888e-02        00000 
+ 2.71361e-02 -5.44868e-02        00000 
+ 1.34160e-02  2.48207e-03        00000 
+ 1.24193e-02  1.75793e-03        00000 
+ 1.27862e-02  2.07027e-03        00000 
+-2.26420e-03  3.98187e-03        00000 
+ 4.36349e-04  4.90384e-03        00000 
+-1.11728e-02  4.17073e-03        00000 
+ 2.69793e-02 -2.51929e-02        00000 
+ 2.69321e-02 -2.51953e-02        00000 
+-4.68284e-02  3.67778e-02        00000 
+-5.62412e-02  3.11220e-02        00000 
+ 1.14095e-02 -1.98024e-02        00000 
+ 1.00809e-02 -1.89841e-02        00000 
+-4.89202e-02  3.80046e-02        00000 
+ 1.39385e-02 -2.13713e-02        00000 
+ 1.24508e-02 -3.15295e-02        00000 
+ 3.26323e-02 -3.35860e-02        00000 
+ 3.01805e-02 -3.38576e-02        00000 
+ 1.25208e-02 -3.16597e-02        00000 
+ 1.37955e-02 -3.22165e-03        00000 
+ 1.34088e-02 -3.93933e-03        00000 
+ 1.33371e-02 -3.61052e-03        00000 
+-1.03394e-02  8.69750e-03        00000 
+-1.10080e-02  9.25338e-03        00000 
+-1.99605e-02  8.59877e-03        00000 
+-6.80846e-02  3.67499e-02        00000 
+ 1.31832e-02 -2.12498e-02        00000 
+ 1.28049e-02 -8.87445e-03        00000 
+ 1.08067e-02 -1.26992e-02        00000 
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+-2.85165e-02  9.27909e-03        00000 
+-3.61190e-02  1.22584e-02        00000 
+-3.77543e-02  7.20964e-03        00000 
+ 1.68615e-02 -5.89837e-02        00000 
+ 9.06144e-03 -1.85960e-02        00000 
+-5.53998e-02  2.54438e-02        00000 
+ 2.48964e-02 -2.52316e-02        00000 
+ 1.46174e-02 -6.07549e-02        00000 
+ 3.65872e-03 -6.37357e-02        00000 
+ 2.35401e-02 -2.53056e-02        00000 
+ 2.26751e-02 -2.47047e-02        00000 
+-7.81022e-02  3.12822e-02        00000 
+ 1.29185e-02 -2.18099e-02        00000 
+ 8.50958e-03 -3.24660e-02        00000 
+ 6.29433e-03 -3.31039e-02        00000 
+ 2.44543e-02 -3.61616e-02        00000 
+ 1.68520e-02 -3.84182e-02        00000 
+-5.13872e-02  1.27721e-02        00000 
+-5.23018e-02  1.97274e-02        00000 
+-5.93798e-02  1.57766e-02        00000 
+-6.08363e-02  5.34993e-03        00000 
+ 1.12178e-02 -1.53320e-02        00000 
+ 8.19572e-03 -1.83680e-02        00000 
+ 7.66054e-03 -1.81107e-02        00000 
+ 7.63168e-03 -1.77492e-02        00000 
+-8.22232e-02  2.48976e-02        00000 
+ 1.20825e-02 -2.20642e-02        00000 
+-9.63466e-02  1.98469e-02        00000 
+ 1.10345e-02 -2.16774e-02        00000 
+ 2.25544e-02 -2.46900e-02        00000 
+ 3.98931e-03 -6.39031e-02        00000 
+ 1.60338e-02 -3.89099e-02        00000 
+ 3.86122e-03 -3.33138e-02        00000 
+ 2.09739e-02 -2.42606e-02        00000 
+ 2.02372e-02 -2.32482e-02        00000 
+ 9.47052e-04 -6.65125e-02        00000 
+-9.87639e-03 -6.83063e-02        00000 
+ 1.06366e-02 -3.97278e-02        00000 
+ 2.73726e-03 -3.37591e-02        00000 
+ 1.04981e-02 -2.20912e-02        00000 
+-1.04860e-01  1.48910e-02        00000 
+-1.19235e-01 -8.98788e-04        00000 
+ 8.25396e-03 -2.16667e-02        00000 
+ 7.57906e-03 -2.12135e-02        00000 
+-1.22229e-01 -3.56677e-03        00000 
+ 1.91246e-02 -2.27938e-02        00000 
+-1.61323e-02 -6.91756e-02        00000 
+ 6.65791e-03 -4.13746e-02        00000 
+ 3.36687e-03 -4.04141e-02        00000 
+ 3.37769e-05 -4.46553e-02        00000 
+-8.74901e-04 -3.41480e-02        00000 
+-9.66398e-04 -3.52439e-02        00000 
+-1.76346e-03 -3.45730e-02        00000 
+ 1.82909e-02 -2.19617e-02        00000 
+ 1.79133e-02 -2.11962e-02        00000 
+ 1.71324e-02 -2.03879e-02        00000 
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+-2.27884e-02 -6.99753e-02        00000 
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+-4.14806e-02 -6.85284e-02        00000 
+ 1.52494e-02 -1.91399e-02        00000 
+ 1.44736e-02 -1.86593e-02        00000 
+-3.66350e-02 -6.72787e-02        00000 
+-3.03569e-03 -3.84001e-02        00000 
+-3.62245e-03 -3.86044e-02        00000 
+-5.26678e-03 -3.87708e-02        00000 
+-5.66028e-03 -3.95918e-02        00000 
+-4.46800e-03 -3.86312e-02        00000 
+ 1.27415e-02 -1.87613e-02        00000 
+-5.72314e-02 -6.45492e-02        00000 
+-2.29450e-02 -6.93765e-02        00000 
+-2.51543e-02 -6.87851e-02        00000 
+ 7.76708e-03 -3.08908e-02        00000 
+ 9.15100e-03 -3.04120e-02        00000 
+ 1.08173e-02 -1.84723e-02        00000 
+-5.72960e-02 -5.98842e-02        00000 
+-2.42560e-02 -6.94782e-02        00000 
+ 1.02971e-02 -2.99642e-02        00000 
+-2.94922e-02 -7.04629e-02        00000 
+-2.53516e-02 -7.05636e-02        00000 
+-3.26625e-02 -7.01993e-02        00000 
+ 1.01297e-02 -2.94308e-02        00000 
+ 1.12049e-02 -2.90118e-02        00000 
+ 1.11544e-02 -2.87487e-02        00000 
+-6.07486e-02 -5.46932e-02        00000 
+-8.12499e-02 -4.57814e-02        00000 
+ 9.02682e-03 -1.91222e-02        00000 
+ 8.67845e-03 -1.90414e-02        00000 
+-3.25250e-02 -6.96375e-02        00000 
+ 1.03002e-02 -2.78191e-02        00000 
+-1.80222e-02 -4.47205e-02        00000 
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+ 1.04073e-02 -2.54559e-02        00000 
+ 9.60105e-03 -2.52178e-02        00000 
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+-1.30836e-03 -3.32123e-02        00000 
+-4.49861e-02 -5.90178e-02        00000 
+ 7.20689e-03 -2.37369e-02        00000 
+ 6.50950e-03 -3.14177e-02        00000 
+ 3.23261e-04 -3.25622e-02        00000 
+ 3.98230e-03 -3.19712e-02        00000 
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+ 6.67382e-03 -2.17157e-02        00000 
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+ 8.14409e-03 -1.92105e-02        00000 
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+ 2.99451e-03 -1.83693e-02        00000 
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+-2.54380e-04 -5.34063e-04        00000 
+ 2.56623e-03  5.58291e-04        00000 
+-4.97077e-03 -2.34869e-05        00000 
+-5.46091e-03  6.59860e-03        00000 
+-1.22493e-02  9.97339e-03        00000 
+-6.46329e-03  6.53121e-03        00000 
+-1.25992e-02  9.90549e-03        00000 
+-2.04482e-03  5.25663e-03        00000 
+-7.16525e-03  7.91227e-03        00000 
+-1.15381e-02  5.71389e-03        00000 
+-7.30131e-03  5.30257e-03        00000 
+-3.93414e-03  5.66532e-03        00000 
+-4.14016e-03  6.24224e-03        00000 
+-4.99415e-03  5.81879e-03        00000 
+-3.94159e-03  5.84272e-03        00000 
+-7.80124e-03  6.31195e-03        00000 
+-2.12730e-02  1.25554e-02        00000 
+-1.40761e-02  1.05716e-02        00000 
+-2.12484e-02  1.30147e-02        00000 
+-8.27799e-03  6.51916e-03        00000 
+-7.13381e-03  6.20493e-03        00000 
+-3.24261e-02  1.33631e-02        00000 
+-1.09780e-02  5.24194e-03        00000 
+-2.60237e-02  1.43124e-02        00000 
+-2.98961e-02  1.48380e-02        00000 
+-1.16377e-02  5.80574e-03        00000 
+-1.11910e-02  5.31324e-03        00000 
+-4.33662e-02  1.24283e-02        00000 
+-1.52044e-02  3.83654e-03        00000 
+-3.90378e-02  1.52417e-02        00000 
+-4.06450e-02  1.49062e-02        00000 
+-1.62215e-02  4.32407e-03        00000 
+-1.62798e-02  4.06952e-03        00000 
+-5.10662e-02  9.13394e-03        00000 
+-5.17666e-02  9.85568e-03        00000 
+-2.51719e-02  1.35836e-03        00000 
+-2.09274e-02  2.40908e-03        00000 
+-5.10970e-02  1.33085e-02        00000 
+-5.24631e-02  1.29687e-02        00000 
+-2.18337e-02  2.77670e-03        00000 
+-2.12442e-02  2.69116e-03        00000 
+-5.21591e-02  9.14219e-03        00000 
+-5.14148e-02  4.60700e-03        00000 
+-5.66361e-02  6.39885e-03        00000 
+-2.94441e-02  9.50737e-04        00000 
+-3.32985e-02  1.38707e-04        00000 
+-2.76438e-02  8.78610e-04        00000 
+-4.85246e-02 -8.02424e-04        00000 
+-3.65000e-02 -9.03322e-04        00000 
+-3.90250e-02 -1.01121e-03        00000 
+-3.97291e-02 -9.77160e-04        00000 
+-3.49197e-02 -9.46506e-04        00000 
+-4.97483e-02  1.82664e-03        00000 
+-4.80298e-02  1.48242e-03        00000 
+-5.49465e-02  1.61044e-03        00000 
+-5.33545e-02  1.71931e-03        00000 </DataArray>
+         </PointData>
+         <CellData/>
+      </Piece>
+   </UnstructuredGrid>
+</VTKFile>
\ No newline at end of file
diff --git a/Tutorials/Tutorial02p2FEMElasticityMicro.m b/Tutorials/Tutorial02p2FEMElasticityMicro.m
index e14c08179e..0043c163cd 100644
--- a/Tutorials/Tutorial02p2FEMElasticityMicro.m
+++ b/Tutorials/Tutorial02p2FEMElasticityMicro.m
@@ -22,6 +22,20 @@
     methods (Access = private)
         
         function createMesh(obj)
+           m = obj.createHoleMesh();
+%            m = obj.createAuxeticMesh();
+            obj.mesh = m;
+        end
+
+        function m = createAuxeticMesh(obj)
+            negmesh = load(fullfile('src','Mesh','NegPoissMesh.mat'));
+            %auxmesh = load(fullfile('src','Mesh','AuxeticMesh.mat'));            
+            s.coord = negmesh.NegPoissMesh.coord-0.5;
+            s.connec = negmesh.NegPoissMesh.connec;                        
+            m = Mesh.create(s); 
+        end
+
+        function m = createHoleMesh(obj)
             l = 1;
             h = 1;
             nx = 30; 
@@ -36,9 +50,6 @@ function createMesh(obj)
             s.connec = F;
             fullmesh = Mesh.create(s);
 
-            load('src\Mesh\NegPoissMesh.mat');
-            %auxmesh = load('src\Mesh\AuxeticMesh.mat');
-
             % fullmesh = UnitTriangleMesh(50,50);
             ls = obj.computeCircleLevelSet(fullmesh);
             sUm.backgroundMesh = fullmesh;
@@ -46,9 +57,8 @@ function createMesh(obj)
             uMesh              = UnfittedMesh(sUm);
             uMesh.compute(ls);
             holeMesh = uMesh.createInnerMesh();
-            %obj.mesh = holeMesh;
-            obj.mesh = fullmesh;
-            %obj.mesh = NegPoissMesh;
+            m = holeMesh;
+            %obj.mesh = fullmesh;
         end
 
         function ls = computeCircleLevelSet(obj, mesh)
diff --git a/src/Problems/Elasticity/ElasticProblemMicro.m b/src/Problems/Elasticity/ElasticProblemMicro.m
index a200666cc8..82a3e5a95a 100644
--- a/src/Problems/Elasticity/ElasticProblemMicro.m
+++ b/src/Problems/Elasticity/ElasticProblemMicro.m
@@ -92,6 +92,7 @@
             ex  = e(1,:,:);
             ey  = e(2,:,:);
             exy = e(3,:,:);
+            uM = zeros(size(y));
             if iB <= 3
                 uM(1,:,:) = ex  .* y1 + exy .* y2;
                 uM(2,:,:) = exy .* y1 + ey  .* y2;

From 9f021ee009c1b6c0daf1e5655787d640c3b7f2a6 Mon Sep 17 00:00:00 2001
From: Matheus <matheusvictor.doprado@gmail.com>
Date: Thu, 5 Jun 2025 17:53:40 +0200
Subject: [PATCH 16/24] ch

---
 Tutorials/Tutorial02p2FEMElasticityMicro.m | 6 +++---
 src/BoundaryConditions/BCApplier.m         | 5 -----
 2 files changed, 3 insertions(+), 8 deletions(-)

diff --git a/Tutorials/Tutorial02p2FEMElasticityMicro.m b/Tutorials/Tutorial02p2FEMElasticityMicro.m
index 0043c163cd..edb8a3385f 100644
--- a/Tutorials/Tutorial02p2FEMElasticityMicro.m
+++ b/Tutorials/Tutorial02p2FEMElasticityMicro.m
@@ -22,9 +22,9 @@
     methods (Access = private)
         
         function createMesh(obj)
-           m = obj.createHoleMesh();
-%            m = obj.createAuxeticMesh();
-            obj.mesh = m;
+           % m = obj.createHoleMesh();
+           m = obj.createAuxeticMesh();
+           obj.mesh = m;
         end
 
         function m = createAuxeticMesh(obj)
diff --git a/src/BoundaryConditions/BCApplier.m b/src/BoundaryConditions/BCApplier.m
index 4d786626c9..2c5bf29f81 100644
--- a/src/BoundaryConditions/BCApplier.m
+++ b/src/BoundaryConditions/BCApplier.m
@@ -9,7 +9,6 @@
     
     properties (Access = private)
         mesh
-
         dirichlet_dofs, dirichlet_vals, dirichlet_domain
         dirichletFun
         pointload_dofs, pointload_vals
@@ -17,10 +16,6 @@
         periodic_leader, periodic_follower
     end
     
-    properties (Access = private)
-        
-    end
-    
     methods (Access = public)
         
         function obj = BCApplier(cParams)

From fb67f545ecb2ffc91804c9f9ae20a99f69847823 Mon Sep 17 00:00:00 2001
From: Matheus <matheusvictor.doprado@gmail.com>
Date: Thu, 5 Jun 2025 19:18:29 +0200
Subject: [PATCH 17/24] ch

---
 Tutorials/Tutorial02p2FEMElasticityMicro.m    | 8 ++++----
 src/Problems/Elasticity/ElasticProblemMicro.m | 6 +++---
 2 files changed, 7 insertions(+), 7 deletions(-)

diff --git a/Tutorials/Tutorial02p2FEMElasticityMicro.m b/Tutorials/Tutorial02p2FEMElasticityMicro.m
index edb8a3385f..a2d6728cbf 100644
--- a/Tutorials/Tutorial02p2FEMElasticityMicro.m
+++ b/Tutorials/Tutorial02p2FEMElasticityMicro.m
@@ -22,8 +22,8 @@
     methods (Access = private)
         
         function createMesh(obj)
-           % m = obj.createHoleMesh();
-           m = obj.createAuxeticMesh();
+            %m = obj.createHoleMesh();
+            m = obj.createAuxeticMesh();
            obj.mesh = m;
         end
 
@@ -57,8 +57,8 @@ function createMesh(obj)
             uMesh              = UnfittedMesh(sUm);
             uMesh.compute(ls);
             holeMesh = uMesh.createInnerMesh();
-            m = holeMesh;
-            %obj.mesh = fullmesh;
+            %m = holeMesh;
+            m = fullmesh;
         end
 
         function ls = computeCircleLevelSet(obj, mesh)
diff --git a/src/Problems/Elasticity/ElasticProblemMicro.m b/src/Problems/Elasticity/ElasticProblemMicro.m
index 82a3e5a95a..1a17d24f4c 100644
--- a/src/Problems/Elasticity/ElasticProblemMicro.m
+++ b/src/Problems/Elasticity/ElasticProblemMicro.m
@@ -27,7 +27,7 @@
 
         function obj = solve(obj)     
             LHS = obj.computeLHS();
-            %    oX     = zeros(obj.getDimensions().ndimf,1);
+            %oX     = zeros(obj.getDimensions().ndimf,1);
             nBasis = obj.computeNbasis();
 
             if obj.homogOrd == 1
@@ -36,7 +36,7 @@
                 nTerms = 3*nBasis;
             end
 
-            % obj.Chomog = zeros(nBasis, nBasis);
+            obj.Chomog = zeros(nBasis, nBasis);
 
             for iB = 1:nTerms
 
@@ -75,7 +75,7 @@
             obj.uTotal = uT;
             obj.strain = strainF;
             obj.stress = stressF;
-            % obj.Chomog = Ch;
+            obj.Chomog = Ch;
         end
 
         function uM = computeTotal(obj,strainB,iB)

From 7af98c601794a27e575f1120786c84053afa461e Mon Sep 17 00:00:00 2001
From: Matheus <matheusvictor.doprado@gmail.com>
Date: Wed, 11 Jun 2025 20:32:22 +0200
Subject: [PATCH 18/24] ch

---
 Tutorials/Tutorial02p2FEMElasticityMicro.m    | 6 +++---
 src/Problems/Elasticity/ElasticProblemMicro.m | 4 ++--
 2 files changed, 5 insertions(+), 5 deletions(-)

diff --git a/Tutorials/Tutorial02p2FEMElasticityMicro.m b/Tutorials/Tutorial02p2FEMElasticityMicro.m
index a2d6728cbf..6537198767 100644
--- a/Tutorials/Tutorial02p2FEMElasticityMicro.m
+++ b/Tutorials/Tutorial02p2FEMElasticityMicro.m
@@ -22,9 +22,9 @@
     methods (Access = private)
         
         function createMesh(obj)
-            %m = obj.createHoleMesh();
-            m = obj.createAuxeticMesh();
-           obj.mesh = m;
+            m = obj.createHoleMesh();
+            %m = obj.createAuxeticMesh();
+            obj.mesh = m;
         end
 
         function m = createAuxeticMesh(obj)
diff --git a/src/Problems/Elasticity/ElasticProblemMicro.m b/src/Problems/Elasticity/ElasticProblemMicro.m
index 1a17d24f4c..b02c6481cd 100644
--- a/src/Problems/Elasticity/ElasticProblemMicro.m
+++ b/src/Problems/Elasticity/ElasticProblemMicro.m
@@ -67,8 +67,8 @@
 
                 stressF{iB} = DDP(obj.material, strainF{iB});
                 %  Ch(:,iB)    = obj.computeChomog(stressF{iB},iB);
-                uM     = obj.computeTotal(strainB,iB);
-                uT{iB} = uF{iB} + uM;
+                uM{iB}     = obj.computeTotal(strainB,iB);
+                uT{iB} = uF{iB} + uM{iB};
 
             end
             obj.uFluc  = uF;

From 65e203fe0d909bb76bf342a9cd8e915d4c4e77a2 Mon Sep 17 00:00:00 2001
From: Matheus <matheusvictor.doprado@gmail.com>
Date: Thu, 12 Jun 2025 16:35:37 +0200
Subject: [PATCH 19/24] DS

---
 Tutorials/Tutorial02p2FEMElasticityMicro.m | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/Tutorials/Tutorial02p2FEMElasticityMicro.m b/Tutorials/Tutorial02p2FEMElasticityMicro.m
index 6537198767..74d4cbdfd1 100644
--- a/Tutorials/Tutorial02p2FEMElasticityMicro.m
+++ b/Tutorials/Tutorial02p2FEMElasticityMicro.m
@@ -38,8 +38,8 @@ function createMesh(obj)
         function m = createHoleMesh(obj)
             l = 1;
             h = 1;
-            nx = 30; 
-            ny = 30;
+            nx = 50; 
+            ny = 50;
             x1 = linspace(-l/2,l/2,nx);
             x2 = linspace(-h/2,h/2,ny);
             % Create the grid

From 8e27a04ad214b89fcf96aae28197fe897862460a Mon Sep 17 00:00:00 2001
From: Matheus <matheusvictor.doprado@gmail.com>
Date: Fri, 13 Jun 2025 23:18:12 +0200
Subject: [PATCH 20/24] ch

---
 src/Problems/Elasticity/ElasticProblemMicro.m | 25 ++++++++++++-------
 1 file changed, 16 insertions(+), 9 deletions(-)

diff --git a/src/Problems/Elasticity/ElasticProblemMicro.m b/src/Problems/Elasticity/ElasticProblemMicro.m
index b02c6481cd..49635de399 100644
--- a/src/Problems/Elasticity/ElasticProblemMicro.m
+++ b/src/Problems/Elasticity/ElasticProblemMicro.m
@@ -25,7 +25,7 @@
             obj.createSolver();
         end
 
-        function obj = solve(obj)     
+        function obj = solve(obj)
             LHS = obj.computeLHS();
             %oX     = zeros(obj.getDimensions().ndimf,1);
             nBasis = obj.computeNbasis();
@@ -45,24 +45,31 @@
                     index = iB;
                 elseif iB <= 6
                     index = iB - 3;
+                    s = obj.createDeformationBasis(index);
                     coord = 1;
-                    s = obj.createSndOrderDeformationBasis(coord, index);
+                    baseRhs = obj.createSndOrderDeformationBasis(coord, index);
                     strainTorque = obj.computeStrainTorque(index, iB, s);
                 else
-                    index = iB - 6;
+                    index = iB - 3;
+                    s = obj.createDeformationBasis(index);
                     coord = 2;
-                    s = obj.createSndOrderDeformationBasis(coord, index);
+                    baseRhs = obj.createSndOrderDeformationBasis(coord, index);
                     strainTorque = obj.computeStrainTorque(index, iB, s);
                 end
 
                 strainB     = s;
-                RHS         = obj.computeRHS(strainB,LHS);
+                if iB<=3
+                    RHS         = obj.computeRHS(s,LHS);
+                else
+                    RHS         = obj.computeRHS(baseRhs,LHS);
+                end
+
                 uF{iB}      = obj.computeDisplacement(LHS,RHS,index,nBasis);
 
                 if iB <= 3
                     strainF{iB} = SymGrad(uF{iB}) + strainB;
                 else
-                    strainF{iB} = SymGrad(uF{iB}) + strainTorque;  
+                    strainF{iB} = SymGrad(uF{iB}) + strainTorque;
                 end
 
                 stressF{iB} = DDP(obj.material, strainF{iB});
@@ -104,7 +111,7 @@
                 uM(2,:,:) = 0.5 * quadTerm;
             end
         end
-        
+
         function sT = computeStrainTorque(obj, index, iB,eta)
             Y  = AnalyticalFunction.create(@(x) x,2,obj.mesh);
             sTF = @(xV) obj.obtainStrainTorque(xV,Y,iB,eta);
@@ -118,7 +125,7 @@
             y2  = y(2,:,:);
             ex  = e(1,:,:);
             ey  = e(2,:,:);
-            exy = e(3,:,:);         
+            exy = e(3,:,:);
             if iB <= 6
                 sT(1,:,:) = ex .* y1;
                 sT(2,:,:) = ey .* y1;
@@ -126,7 +133,7 @@
             else
                 sT(1,:,:) = ex .* y2;
                 sT(2,:,:) = ey .* y2;
-                sT(3,:,:) = exy .* y2;               
+                sT(3,:,:) = exy .* y2;
             end
         end
 

From 0e7b4045d3f4f04e27a0ac2ea96fc9b657b88216 Mon Sep 17 00:00:00 2001
From: Matheus <matheusvictor.doprado@gmail.com>
Date: Fri, 13 Jun 2025 23:48:34 +0200
Subject: [PATCH 21/24] ch

---
 src/Problems/Elasticity/ElasticProblemMicro.m | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/src/Problems/Elasticity/ElasticProblemMicro.m b/src/Problems/Elasticity/ElasticProblemMicro.m
index 49635de399..16965a2d8b 100644
--- a/src/Problems/Elasticity/ElasticProblemMicro.m
+++ b/src/Problems/Elasticity/ElasticProblemMicro.m
@@ -50,7 +50,7 @@
                     baseRhs = obj.createSndOrderDeformationBasis(coord, index);
                     strainTorque = obj.computeStrainTorque(index, iB, s);
                 else
-                    index = iB - 3;
+                    index = iB - 6;
                     s = obj.createDeformationBasis(index);
                     coord = 2;
                     baseRhs = obj.createSndOrderDeformationBasis(coord, index);

From eafdf962771c0200a9b12d3c06350573958ffbf7 Mon Sep 17 00:00:00 2001
From: Matheus <matheusvictor.doprado@gmail.com>
Date: Sat, 14 Jun 2025 17:26:15 +0200
Subject: [PATCH 22/24] Update Tutorial02p2FEMElasticityMicro.m

---
 Tutorials/Tutorial02p2FEMElasticityMicro.m | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/Tutorials/Tutorial02p2FEMElasticityMicro.m b/Tutorials/Tutorial02p2FEMElasticityMicro.m
index 74d4cbdfd1..82baf9251e 100644
--- a/Tutorials/Tutorial02p2FEMElasticityMicro.m
+++ b/Tutorials/Tutorial02p2FEMElasticityMicro.m
@@ -38,8 +38,8 @@ function createMesh(obj)
         function m = createHoleMesh(obj)
             l = 1;
             h = 1;
-            nx = 50; 
-            ny = 50;
+            nx = 20; 
+            ny = 20;
             x1 = linspace(-l/2,l/2,nx);
             x2 = linspace(-h/2,h/2,ny);
             % Create the grid

From 848f1af5ffde6d6e23c37b8ccf52c993cca16656 Mon Sep 17 00:00:00 2001
From: Matheus <matheusvictor.doprado@gmail.com>
Date: Sun, 15 Jun 2025 13:42:03 +0200
Subject: [PATCH 23/24] Update Tutorial02p2FEMElasticityMicro.m

---
 Tutorials/Tutorial02p2FEMElasticityMicro.m | 8 ++++----
 1 file changed, 4 insertions(+), 4 deletions(-)

diff --git a/Tutorials/Tutorial02p2FEMElasticityMicro.m b/Tutorials/Tutorial02p2FEMElasticityMicro.m
index 82baf9251e..eafa575115 100644
--- a/Tutorials/Tutorial02p2FEMElasticityMicro.m
+++ b/Tutorials/Tutorial02p2FEMElasticityMicro.m
@@ -22,8 +22,8 @@
     methods (Access = private)
         
         function createMesh(obj)
-            m = obj.createHoleMesh();
-            %m = obj.createAuxeticMesh();
+            %m = obj.createHoleMesh();
+            m = obj.createAuxeticMesh();
             obj.mesh = m;
         end
 
@@ -57,8 +57,8 @@ function createMesh(obj)
             uMesh              = UnfittedMesh(sUm);
             uMesh.compute(ls);
             holeMesh = uMesh.createInnerMesh();
-            %m = holeMesh;
-            m = fullmesh;
+            m = holeMesh;
+            %m = fullmesh;
         end
 
         function ls = computeCircleLevelSet(obj, mesh)

From 9f1da5f31ff6364e3d1887da3630c35758f42635 Mon Sep 17 00:00:00 2001
From: Matheus <matheusvictor.doprado@gmail.com>
Date: Mon, 16 Jun 2025 00:07:58 +0200
Subject: [PATCH 24/24] Update Tutorial02p2FEMElasticityMicro.m

---
 Tutorials/Tutorial02p2FEMElasticityMicro.m | 8 ++++----
 1 file changed, 4 insertions(+), 4 deletions(-)

diff --git a/Tutorials/Tutorial02p2FEMElasticityMicro.m b/Tutorials/Tutorial02p2FEMElasticityMicro.m
index eafa575115..82baf9251e 100644
--- a/Tutorials/Tutorial02p2FEMElasticityMicro.m
+++ b/Tutorials/Tutorial02p2FEMElasticityMicro.m
@@ -22,8 +22,8 @@
     methods (Access = private)
         
         function createMesh(obj)
-            %m = obj.createHoleMesh();
-            m = obj.createAuxeticMesh();
+            m = obj.createHoleMesh();
+            %m = obj.createAuxeticMesh();
             obj.mesh = m;
         end
 
@@ -57,8 +57,8 @@ function createMesh(obj)
             uMesh              = UnfittedMesh(sUm);
             uMesh.compute(ls);
             holeMesh = uMesh.createInnerMesh();
-            m = holeMesh;
-            %m = fullmesh;
+            %m = holeMesh;
+            m = fullmesh;
         end
 
         function ls = computeCircleLevelSet(obj, mesh)