DEMO_febio_0051_hip_implant_01
Below is a demonstration for:
- Building geometry for a a hip implant and bone
Contents
Keywords
- febio_spec version 3.0
- febio, FEBio
- parameterised hip creation
- Tetrahedral meshing, tet4
- force control boundary condition
- static, solid
- displacement logfile
- stress logfile
clear; close all; clc;
Plot settings
fontSize=20; faceAlpha1=0.8; markerSize=40; markerSize2=20; lineWidth=3;
Control parameters
% Path names defaultFolder = fileparts(fileparts(mfilename('fullpath'))); savePath=fullfile(defaultFolder,'data','temp'); % Defining file names febioFebFileNamePart='tempModel'; febioFebFileName=fullfile(savePath,[febioFebFileNamePart,'.feb']); %FEB file name febioLogFileName=fullfile(savePath,[febioFebFileNamePart,'.txt']); %FEBio log file name febioLogFileName_disp=[febioFebFileNamePart,'_disp_out.txt']; %Log file name for exporting displacement febioLogFileName_force=[febioFebFileNamePart,'_force_out.txt']; %Log file name for exporting force febioLogFileName_stress=[febioFebFileNamePart,'_stress_out.txt']; %Log file name for exporting stresses febioLogFileName_strainEnergy=[febioFebFileNamePart,'_energy_out.txt']; %Log file name for exporting strain energy density %Define applied force forceBody=(80*9.81)/2; %Material parameters (MPa if spatial units are mm) % Cortical bone E_youngs1=17000; %Youngs modulus nu1=0.25; %Poissons ratio % Cement E_youngs2=1500; %Youngs modulus nu2=0.25; %Poissons ratio % FEA control settings numTimeSteps=10; %Number of time steps desired max_refs=25; %Max reforms max_ups=0; %Set to zero to use full-Newton iterations opt_iter=10; %Optimum number of iterations max_retries=5; %Maximum number of retires dtmin=(1/numTimeSteps)/100; %Minimum time step size dtmax=1/numTimeSteps; %Maximum time step size symmetric_stiffness=1; runMode='internal'; %'external' or 'internal'
n1=[1 0 0]; n2=vecnormalize([1 1 0]); boneExtension=40; cementThickness=3; boneBaseThickness=6; boneScaleFactors=[1.1 1.1]; volumeFactor=10; hipParStruct.ballRadius=20; hipParStruct.stickRadius=7; hipParStruct.stickLength=21; hipParStruct.stickLengthStraight=hipParStruct.stickLength-6; hipParStruct.neckRadius=15; hipParStruct.neckEllipseScale=2; hipParStruct.collarThickness=3; hipParStruct.loftOffset=20; hipParStruct.loftLenght=40; hipParStruct.stemRadius=8; hipParStruct.stemLength=50; hipParStruct.stemAngle=0.25*pi; hipParStruct.pointSpacing=2;
[F_implant,V_implant,C_implant,curveSet]=parHipImplant(hipParStruct); Qz=euler2DCM([0 0 0.25*pi]); Qy=euler2DCM([0 -0.5*pi 0 ]); Qzz=euler2DCM([0 0 0.5*pi]); pointSpacing=mean(patchEdgeLengths(F_implant,V_implant)); [~,~,N_implant]=patchNormal(F_implant,V_implant); indTop=curveSet{2}; indBottom=curveSet{4};
cFigure; hold on; gpatch(F_implant,V_implant,C_implant,'k',1); % gpatch(F_bone,V_bone,boneColor,'k',1); for q=1:1:numel(curveSet) plotV(V_implant(curveSet{q},:),'r.-','MarkerSize',25,'LineWidth',3); end axisGeom; camlight headlight; colormap gjet; icolorbar; drawnow;

logicSelect=ismember(C_implant,[4 5]); F_cement=F_implant(logicSelect,:); C_cement=C_implant(logicSelect); V_cement=V_implant; [F_cement,V_cement,indFix]=patchCleanUnused(F_cement,V_cement); indTopCement=indFix(indTop); indBottomCement=indFix(indBottom); [~,~,N_cement]=patchNormal(F_cement,V_cement); Eb_cement=patchBoundary(F_cement,V_cement); indBoundaryCement=unique(Eb_cement); N_cement(indTopCement,1)=0; N_cement(indTopCement,:)=vecnormalize(N_cement(indTopCement,:)); V_cement=V_cement+cementThickness.*N_cement; F_cement=F_cement(C_cement~=6,:); [F_cement,V_cement]=patchCleanUnused(F_cement,V_cement);
numStepsExtrude=ceil(boneExtension./pointSpacing); numStepsExtrude=numStepsExtrude+double(iseven(numStepsExtrude)); clear cParExtrude; cParExtrude.depth=boneExtension; cParExtrude.patchType='tri'; cParExtrude.dir=1; cParExtrude.n=n2; cParExtrude.closeLoopOpt=1; cParExtrude.numSteps=numStepsExtrude; [F_cement_extInner,V_cement_extInner]=polyExtrude(V_implant(indBottom,:),cParExtrude); indEndCementInner=numStepsExtrude:numStepsExtrude:size(V_cement_extInner,1); [F_cement_extOuter,V_cement_extOuter]=polyExtrude(V_cement(indBottomCement,:),cParExtrude); indEndCementOuter=numStepsExtrude:numStepsExtrude:size(V_cement_extOuter,1);
pointSpacingNow=mean(sqrt(sum(diff(V_cement_extOuter(indEndCementOuter,:),1,1).^2,2))); [F_cement_bottom,V_cement_bottom]=regionTriMesh3D({V_cement_extOuter(indEndCementOuter,:),... V_cement_extInner(indEndCementInner,:)},pointSpacingNow,0,'linear'); N_cement_bottom=mean(patchNormal(F_cement_bottom,V_cement_bottom),1); if dot(N_cement_bottom,n2)<1 F_cement_bottom=fliplr(F_cement_bottom); end pointSpacingNow=mean(sqrt(sum(diff(V_implant(indTop,:),1,1).^2,2))); [F_cement_top,V_cement_top]=regionTriMesh3D({V_implant(indTop,:),... V_cement(indTopCement,:)},pointSpacingNow,0,'linear'); N_cement_top=mean(patchNormal(F_cement_top,V_cement_top),1); if dot(N_cement_top,[1 0 0])>0 F_cement_top=fliplr(F_cement_top); end
[Fc,Vc,Cc]=joinElementSets({F_cement,F_cement_top,F_cement_bottom,F_cement_extInner,F_cement_extOuter},...
{V_cement,V_cement_top,V_cement_bottom,V_cement_extInner,V_cement_extOuter});
[Fc,Vc]=mergeVertices(Fc,Vc);
cFigure; hold on; title('Cement'); gpatch(F_implant,V_implant,'w','none',0.5); gpatch(Fc,Vc,Cc,'k',0.5); colormap gjet; icolorbar; axisGeom; camlight headlight; drawnow;

N_implant(indTop,1)=0; N_implant(indTop,:)=vecnormalize(N_implant(indTop,:)); V_loft1=V_implant(indTop,:)+(boneBaseThickness+cementThickness).*N_implant(indTop,:); logicLow=V_loft1(:,2)<0; V_loft1(logicLow,2)=V_loft1(logicLow,2)*boneScaleFactors(1); V_loft1(~logicLow,2)=V_loft1(~logicLow,2)*boneScaleFactors(2); [~,indMax]=max(V_loft1(:,3)); if indMax>1 V_loft1=V_loft1([indMax:size(V_loft1,1) 1:indMax-1],:); end V_loft2=V_implant(indBottom,:)+(boneBaseThickness+cementThickness).*N_implant(indBottom,:); V_loft2=V_loft2+boneExtension*n2(ones(size(V_loft2,1),1),:); [~,indMax]=max(V_loft2(:,3)); if indMax>1 V_loft2=V_loft2([indMax:size(V_loft2,1) 1:indMax-1],:); end V_loft2=flipud(V_loft2); p1=mean(V_loft1,1); p2=mean(V_loft2,1); d=sqrt(sum((p1-p2).^2)); numStepsCurve=ceil(d/pointSpacing); numStepsCurve=numStepsCurve+double(iseven(numStepsCurve)); f=d/3; p=[p1;p1+f*n1; p2-f*n2;p2]; Vg=bezierCurve(p,numStepsCurve); [F_loft,V_loft,C_loft]=sweepLoft(V_loft1,V_loft2,n1,n2,Vg); E=F_loft(iseven(C_loft),[1 2]); VE=patchCentre(E,V_loft); V_loft(E(:,1),:)=VE; indTopBone=1:numStepsCurve:size(V_loft,1); indBottomBone=numStepsCurve:numStepsCurve:size(V_loft,1); [F_loft,V_loft,C_loft]=quad2tri(F_loft,V_loft,'a',C_loft);
pointSpacingNow=mean(sqrt(sum(diff(V_loft(indTopBone,:),1,1).^2,2))); [F_bone_top,V_bone_top]=regionTriMesh3D({V_loft(indTopBone,:),... V_cement(indTopCement,:)},pointSpacingNow,0,'linear'); N_bone_top=mean(patchNormal(F_bone_top,V_bone_top),1); if dot(N_bone_top,[1 0 0])>0 F_bone_top=fliplr(F_bone_top); end pointSpacingNow=mean(sqrt(sum(diff(V_loft(indBottomBone,:),1,1).^2,2))); [F_bone_bottom,V_bone_bottom]=regionTriMesh3D({V_loft(indBottomBone,:),... V_cement_extOuter(indEndCementOuter,:)},pointSpacingNow,0,'linear'); N_bone_bottom=mean(patchNormal(F_bone_bottom,V_bone_bottom),1); if dot(N_bone_bottom,[1 0 0])>0 F_bone_bottom=fliplr(F_bone_bottom); end
[F_bone,V_bone,C_bone]=joinElementSets({F_loft,F_bone_top,F_bone_bottom},...
{V_loft,V_bone_top,V_bone_bottom});
[F_bone,V_bone]=mergeVertices(F_bone,V_bone);
cFigure; hold on; gpatch(F_implant,V_implant,'w','none',0.5); gpatch(Fc,Vc,'bw','none',0.5); gpatch(F_bone,V_bone,C_bone,'none',0.5); axisGeom; camlight headlight; drawnow;

C_bone=C_bone+max(C_implant)+max(Cc); Cc=Cc+max(C_implant); [FT,VT,CT]=joinElementSets({F_implant,Fc,F_bone},{V_implant,Vc,V_bone},{C_implant,Cc,C_bone}); [FT,VT]=mergeVertices(FT,VT); VT=VT*Qz*Qy*Qzz;
cFigure; hold on; gpatch(FT,VT,CT,'none',0.5); axisGeom; camlight headlight; colormap gjet; icolorbar; drawnow;

logicBone=ismember(CT,[7 11 12 13 14]); V_inner_bone=getInnerPoint(FT(logicBone,:),VT); cFigure; hold on; gpatch(FT(logicBone,:),VT,'w','none',0.5); plotV(V_inner_bone,'k.','MarkerSize',25) axisGeom; camlight headlight; drawnow;

logicCement=ismember(CT,[4 5 7 8 9 10 11]); V_inner_cement=getInnerPoint(FT(logicCement,:),VT);
cFigure; hold on; gpatch(FT(logicCement,:),VT,'w','none',0.5); plotV(V_inner_cement,'k.','MarkerSize',25) axisGeom; camlight headlight; drawnow;

F_solid=FT(logicCement | logicBone,:); C_solid=CT(logicCement | logicBone); [F_solid,V_solid]=patchCleanUnused(F_solid,VT); logicImplant=ismember(CT,1:6); F_implant=FT(logicImplant,:); C_implant=CT(logicImplant); [F_implant,V_implant]=patchCleanUnused(F_implant,VT);
Regional mesh volume parameter
tetVolumes(1)=tetVolMeanEst(FT(logicBone,:),VT); %Volume for regular tets tetVolumes(2)=tetVolMeanEst(FT(logicCement,:),VT); %Volume for regular tets tetGenStruct.stringOpt='-pq1.2AaY'; tetGenStruct.Faces=F_solid; tetGenStruct.Nodes=V_solid; tetGenStruct.holePoints=[]; tetGenStruct.faceBoundaryMarker=C_solid; %Face boundary markers tetGenStruct.regionPoints=[V_inner_bone;V_inner_cement]; %region points tetGenStruct.regionA=tetVolumes*volumeFactor; [meshOutput]=runTetGen(tetGenStruct); %Run tetGen % Access elements, nodes, and boundary faces E_solid=meshOutput.elements; V_solid=meshOutput.nodes; Fb_solid=meshOutput.facesBoundary; Cb_solid=meshOutput.boundaryMarker; CE_solid=meshOutput.elementMaterialID;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% --- TETGEN Tetrahedral meshing --- 04-Jun-2021 13:06:41 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% --- Writing SMESH file --- 04-Jun-2021 13:06:41 ----> Adding node field ----> Adding facet field ----> Adding holes specification ----> Adding region specification --- Done --- 04-Jun-2021 13:06:41 --- Running TetGen to mesh input boundary--- 04-Jun-2021 13:06:41 Opening /mnt/data/MATLAB/GIBBON/data/temp/temp.smesh. Delaunizing vertices... Delaunay seconds: 0.347679 Creating surface mesh ... Surface mesh seconds: 0.031558 Recovering boundaries... Boundary recovery seconds: 0.09005 Removing exterior tetrahedra ... Spreading region attributes. Exterior tets removal seconds: 0.025638 Recovering Delaunayness... Delaunay recovery seconds: 0.085288 Refining mesh... Refinement seconds: 0.319808 Smoothing vertices... Mesh smoothing seconds: 0.553583 Improving mesh... Mesh improvement seconds: 0.023485 Writing /mnt/data/MATLAB/GIBBON/data/temp/temp.1.node. Writing /mnt/data/MATLAB/GIBBON/data/temp/temp.1.ele. Writing /mnt/data/MATLAB/GIBBON/data/temp/temp.1.face. Writing /mnt/data/MATLAB/GIBBON/data/temp/temp.1.edge. Output seconds: 0.248241 Total running seconds: 1.72651 Statistics: Input points: 11941 Input facets: 23962 Input segments: 35903 Input holes: 0 Input regions: 2 Mesh points: 18120 Mesh tetrahedra: 87569 Mesh faces: 183119 Mesh faces on exterior boundary: 15962 Mesh faces on input facets: 23962 Mesh edges on input segments: 35903 Steiner points inside domain: 6179 --- Done --- 04-Jun-2021 13:06:44 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% --- Importing TetGen files --- 04-Jun-2021 13:06:44 --- Done --- 04-Jun-2021 13:06:44
V=[V_solid;V_implant];
F_implant=F_implant+size(V_solid,1);
numDigitsMerge=6-numOrder(mean(patchEdgeLengths(F_implant,V)));
[~,indKeep,indFix]=unique(pround(V,numDigitsMerge),'rows');
V=V(indKeep,:);
F_implant=indFix(F_implant);
E_solid=indFix(E_solid);
Fb_solid=indFix(Fb_solid);
E_cement=E_solid(CE_solid==-3,:);
E_bone=E_solid(CE_solid==-2,:);
E_solid=[E_bone;E_cement];
Visualizing solid mesh
hFig=cFigure; hold on; gpatch(F_implant,V,'w','none',0.5); optionStruct.hFig=hFig; meshView(meshOutput,optionStruct); axisGeom; drawnow;

Visualizing boundary conditions
F_bottomSupport=Fb_solid(ismember(Cb_solid,[9 14]),:); bcSupportList=unique(F_bottomSupport(:)); hFig=cFigure; hold on; gpatch(Fb_solid,V,'kw','none',0.25); hl(1)=plotV(V(bcSupportList,:),'k.','MarkerSize',25); hl(2)=gpatch(F_implant,V,'rw','r',1); legend(hl,{'BC support','BC prescribe'}); axisGeom; camlight headlight; drawnow;

Defining the FEBio input structure
See also febioStructTemplate and febioStruct2xml and the FEBio user manual.
%Get a template with default settings [febio_spec]=febioStructTemplate; %febio_spec version febio_spec.ATTR.version='3.0'; %Module section febio_spec.Module.ATTR.type='solid'; %Control section febio_spec.Control.analysis='STATIC'; febio_spec.Control.time_steps=numTimeSteps; febio_spec.Control.step_size=1/numTimeSteps; febio_spec.Control.solver.max_refs=max_refs; febio_spec.Control.solver.max_ups=max_ups; febio_spec.Control.solver.symmetric_stiffness=symmetric_stiffness; febio_spec.Control.time_stepper.dtmin=dtmin; febio_spec.Control.time_stepper.dtmax=dtmax; febio_spec.Control.time_stepper.max_retries=max_retries; febio_spec.Control.time_stepper.opt_iter=opt_iter; %Material section materialName1='Material1'; febio_spec.Material.material{1}.ATTR.name=materialName1; febio_spec.Material.material{1}.ATTR.type='neo-Hookean'; febio_spec.Material.material{1}.ATTR.id=1; febio_spec.Material.material{1}.E=E_youngs1; febio_spec.Material.material{1}.v=nu1; materialName2='Material2'; febio_spec.Material.material{2}.ATTR.name=materialName2; febio_spec.Material.material{2}.ATTR.type='neo-Hookean'; febio_spec.Material.material{2}.ATTR.id=2; febio_spec.Material.material{2}.E=E_youngs2; febio_spec.Material.material{2}.v=nu2; materialName3='Material3'; febio_spec.Material.material{3}.ATTR.name=materialName3; febio_spec.Material.material{3}.ATTR.type='rigid body'; febio_spec.Material.material{3}.ATTR.id=3; febio_spec.Material.material{3}.density=1; febio_spec.Material.material{3}.center_of_mass=mean(V_implant,1); %Mesh section % -> Nodes febio_spec.Mesh.Nodes{1}.ATTR.name='nodeSet_all'; %The node set name febio_spec.Mesh.Nodes{1}.node.ATTR.id=(1:size(V,1))'; %The node id's febio_spec.Mesh.Nodes{1}.node.VAL=V; %The nodel coordinates % -> Elements partName1='Part1'; febio_spec.Mesh.Elements{1}.ATTR.name=partName1; %Name of this part febio_spec.Mesh.Elements{1}.ATTR.type='tet4'; %Element type febio_spec.Mesh.Elements{1}.elem.ATTR.id=(1:1:size(E_bone,1))'; %Element id's febio_spec.Mesh.Elements{1}.elem.VAL=E_bone; %The element matrix partName2='Part2'; febio_spec.Mesh.Elements{2}.ATTR.name=partName2; %Name of this part febio_spec.Mesh.Elements{2}.ATTR.type='tet4'; %Element type febio_spec.Mesh.Elements{2}.elem.ATTR.id=size(E_bone,1)+(1:1:size(E_cement,1))'; %Element id's febio_spec.Mesh.Elements{2}.elem.VAL=E_cement; %The element matrix partName3='Part3'; febio_spec.Mesh.Elements{3}.ATTR.name=partName3; %Name of this part febio_spec.Mesh.Elements{3}.ATTR.type='tri3'; %Element type febio_spec.Mesh.Elements{3}.elem.ATTR.id=size(E_bone,1)+size(E_cement,1)+(1:1:size(F_implant,1))'; %Element id's febio_spec.Mesh.Elements{3}.elem.VAL=F_implant; %The element matrix % -> NodeSets nodeSetName1='bcSupportList'; febio_spec.Mesh.NodeSet{1}.ATTR.name=nodeSetName1; febio_spec.Mesh.NodeSet{1}.node.ATTR.id=bcSupportList(:); %MeshDomains section febio_spec.MeshDomains.SolidDomain{1}.ATTR.name=partName1; febio_spec.MeshDomains.SolidDomain{1}.ATTR.mat=materialName1; febio_spec.MeshDomains.SolidDomain{2}.ATTR.name=partName2; febio_spec.MeshDomains.SolidDomain{2}.ATTR.mat=materialName2; febio_spec.MeshDomains.ShellDomain{1}.ATTR.name=partName3; febio_spec.MeshDomains.ShellDomain{1}.ATTR.mat=materialName3; %Boundary condition section % -> Fix boundary conditions febio_spec.Boundary.bc{1}.ATTR.type='fix'; febio_spec.Boundary.bc{1}.ATTR.node_set=nodeSetName1; febio_spec.Boundary.bc{1}.dofs='x,y,z'; %Rigid section % ->Rigid body fix boundary conditions febio_spec.Rigid.rigid_constraint{1}.ATTR.name='RigidFix_1'; febio_spec.Rigid.rigid_constraint{1}.ATTR.type='fix'; febio_spec.Rigid.rigid_constraint{1}.rb=3; febio_spec.Rigid.rigid_constraint{1}.dofs='Rx,Ry'; % ->Rigid body prescribe boundary conditions febio_spec.Rigid.rigid_constraint{2}.ATTR.name='RigidPrescribe'; febio_spec.Rigid.rigid_constraint{2}.ATTR.type='force'; febio_spec.Rigid.rigid_constraint{2}.rb=3; febio_spec.Rigid.rigid_constraint{2}.dof='Rz'; febio_spec.Rigid.rigid_constraint{2}.value.ATTR.lc=1; febio_spec.Rigid.rigid_constraint{2}.value.VAL=forceBody; %LoadData section % -> load_controller febio_spec.LoadData.load_controller{1}.ATTR.id=1; febio_spec.LoadData.load_controller{1}.ATTR.type='loadcurve'; febio_spec.LoadData.load_controller{1}.interpolate='LINEAR'; febio_spec.LoadData.load_controller{1}.points.point.VAL=[0 0; 1 1]; %Output section % -> log file febio_spec.Output.logfile.ATTR.file=febioLogFileName; febio_spec.Output.logfile.node_data{1}.ATTR.file=febioLogFileName_disp; febio_spec.Output.logfile.node_data{1}.ATTR.data='ux;uy;uz'; febio_spec.Output.logfile.node_data{1}.ATTR.delim=','; febio_spec.Output.logfile.node_data{1}.VAL=1:size(V,1); febio_spec.Output.logfile.rigid_body_data{1}.ATTR.file=febioLogFileName_force; febio_spec.Output.logfile.rigid_body_data{1}.ATTR.data='Fx;Fy;Fz'; febio_spec.Output.logfile.rigid_body_data{1}.ATTR.delim=','; febio_spec.Output.logfile.rigid_body_data{1}.VAL=3; %Rigid body material id febio_spec.Output.logfile.element_data{1}.ATTR.file=febioLogFileName_stress; febio_spec.Output.logfile.element_data{1}.ATTR.data='s1;s2;s3'; febio_spec.Output.logfile.element_data{1}.ATTR.delim=','; febio_spec.Output.logfile.element_data{1}.VAL=1:1:size(E_solid,1); %Rigid body material id febio_spec.Output.logfile.element_data{2}.ATTR.file=febioLogFileName_strainEnergy; febio_spec.Output.logfile.element_data{2}.ATTR.data='sed'; febio_spec.Output.logfile.element_data{2}.ATTR.delim=','; febio_spec.Output.logfile.element_data{2}.VAL=1:1:size(E_solid,1);
Quick viewing of the FEBio input file structure
The febView function can be used to view the xml structure in a MATLAB figure window.
febView(febio_spec); %Viewing the febio file
Exporting the FEBio input file
Exporting the febio_spec structure to an FEBio input file is done using the febioStruct2xml function.
febioStruct2xml(febio_spec,febioFebFileName); %Exporting to file and domNode
Running the FEBio analysis
To run the analysis defined by the created FEBio input file the runMonitorFEBio function is used. The input for this function is a structure defining job settings e.g. the FEBio input file name. The optional output runFlag informs the user if the analysis was run succesfully.
febioAnalysis.run_filename=febioFebFileName; %The input file name febioAnalysis.run_logname=febioLogFileName; %The name for the log file febioAnalysis.disp_on=1; %Display information on the command window febioAnalysis.disp_log_on=1; %Display convergence information in the command window febioAnalysis.runMode=runMode;%'internal'; febioAnalysis.t_check=0.25; %Time for checking log file (dont set too small) febioAnalysis.maxtpi=1e99; %Max analysis time febioAnalysis.maxLogCheckTime=10; %Max log file checking time [runFlag]=runMonitorFEBio(febioAnalysis);%START FEBio NOW!!!!!!!!
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% --------> RUNNING/MONITORING FEBIO JOB <-------- 04-Jun-2021 13:06:51 FEBio path: /home/kevin/FEBioStudio/bin/febio3 # Attempt removal of existing log files 04-Jun-2021 13:06:51 * Removal succesful 04-Jun-2021 13:06:51 # Attempt removal of existing .xplt files 04-Jun-2021 13:06:51 * Removal succesful 04-Jun-2021 13:06:51 # Starting FEBio... 04-Jun-2021 13:06:51 Max. total analysis time is: 1e+99 s =========================================================================== ________ _________ _______ __ _________ | |\ | |\ | \\ | |\ / \\ | ____|| | ____|| | __ || |__|| | ___ || | |\___\| | |\___\| | |\_| || \_\| | // \ || | ||__ | ||__ | ||_| || | |\ | || | || | |\ | |\ | \\ | || | || | || | ___|| | ___|| | ___ || | || | || | || | |\__\| | |\__\| | |\__| || | || | || | || | || | ||___ | ||__| || | || | \\__/ || | || | |\ | || | || | || |___|| |________|| |_________// |__|| \_________// F I N I T E E L E M E N T S F O R B I O M E C H A N I C S version 3.3.3 FEBio is a registered trademark. copyright (c) 2006-2020 - All rights reserved =========================================================================== Default linear solver: pardiso Success loading plugin libFEBioChem.so (version 1.0.0) Success loading plugin libFEBioHeat.so (version 1.0.0) Reading file /mnt/data/MATLAB/GIBBON/data/temp/tempModel.feb ...SUCCESS! Setting parameter "value" to : 0 ]0;(0%) tempModel.feb - FEBio 3.3.3 ===== beginning time step 1 : 0.1 ===== Setting parameter "value" to : 39.24 Reforming stiffness matrix: reformation #1 ===== reforming stiffness matrix: Nr of equations ........................... : 44464 Nr of nonzeroes in stiffness matrix ....... : 940414 1 Nonlinear solution status: time= 0.1 stiffness updates = 0 right hand side evaluations = 2 stiffness matrix reformations = 1 step from line search = 1.000000 convergence norms : INITIAL CURRENT REQUIRED residual 1.539778e+03 2.600416e-04 0.000000e+00 energy 1.153167e-02 4.823996e-08 1.153167e-04 displacement 7.224653e-04 7.224653e-04 7.224653e-10 Reforming stiffness matrix: reformation #2 2 Nonlinear solution status: time= 0.1 stiffness updates = 0 right hand side evaluations = 3 stiffness matrix reformations = 2 step from line search = 1.000000 convergence norms : INITIAL CURRENT REQUIRED residual 1.539778e+03 7.588805e-14 0.000000e+00 energy 1.153167e-02 2.754037e-18 1.153167e-04 displacement 7.224653e-04 4.336754e-14 7.224576e-10 convergence summary number of iterations : 2 number of reformations : 2 ------- converged at time : 0.1 Data Record #1 =========================================================================== Step = 1 Time = 0.1 Data = ux;uy;uz File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_disp_out.txt Data Record #2 =========================================================================== Step = 1 Time = 0.1 Data = Fx;Fy;Fz File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_force_out.txt Data Record #3 =========================================================================== Step = 1 Time = 0.1 Data = s1;s2;s3 File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_stress_out.txt Data Record #4 =========================================================================== Step = 1 Time = 0.1 Data = sed File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_energy_out.txt ]0;(10%) tempModel.feb - FEBio 3.3.3 ===== beginning time step 2 : 0.2 ===== Setting parameter "value" to : 78.48 Reforming stiffness matrix: reformation #1 1 Nonlinear solution status: time= 0.2 stiffness updates = 0 right hand side evaluations = 2 stiffness matrix reformations = 1 step from line search = 1.000000 convergence norms : INITIAL CURRENT REQUIRED residual 1.539778e+03 5.139769e-04 0.000000e+00 energy 1.153159e-02 6.660363e-08 1.153159e-04 displacement 7.224533e-04 7.224533e-04 7.224533e-10 Reforming stiffness matrix: reformation #2 2 Nonlinear solution status: time= 0.2 stiffness updates = 0 right hand side evaluations = 3 stiffness matrix reformations = 2 step from line search = 1.000000 convergence norms : INITIAL CURRENT REQUIRED residual 1.539778e+03 3.392551e-14 0.000000e+00 energy 1.153159e-02 6.271861e-18 1.153159e-04 displacement 7.224533e-04 8.973940e-14 7.224423e-10 convergence summary number of iterations : 2 number of reformations : 2 ------- converged at time : 0.2 Data Record #1 =========================================================================== Step = 2 Time = 0.2 Data = ux;uy;uz File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_disp_out.txt Data Record #2 =========================================================================== Step = 2 Time = 0.2 Data = Fx;Fy;Fz File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_force_out.txt Data Record #3 =========================================================================== Step = 2 Time = 0.2 Data = s1;s2;s3 File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_stress_out.txt Data Record #4 =========================================================================== Step = 2 Time = 0.2 Data = sed File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_energy_out.txt ]0;(20%) tempModel.feb - FEBio 3.3.3 ===== beginning time step 3 : 0.3 ===== Setting parameter "value" to : 117.72 Reforming stiffness matrix: reformation #1 1 Nonlinear solution status: time= 0.3 stiffness updates = 0 right hand side evaluations = 2 stiffness matrix reformations = 1 step from line search = 1.000000 convergence norms : INITIAL CURRENT REQUIRED residual 1.539778e+03 8.535919e-04 0.000000e+00 energy 1.153151e-02 8.496710e-08 1.153151e-04 displacement 7.224412e-04 7.224412e-04 7.224412e-10 Reforming stiffness matrix: reformation #2 2 Nonlinear solution status: time= 0.3 stiffness updates = 0 right hand side evaluations = 3 stiffness matrix reformations = 2 step from line search = 1.000000 convergence norms : INITIAL CURRENT REQUIRED residual 1.539778e+03 3.624876e-13 0.000000e+00 energy 1.153151e-02 4.196193e-17 1.153151e-04 displacement 7.224412e-04 1.528939e-13 7.224269e-10 convergence summary number of iterations : 2 number of reformations : 2 ------- converged at time : 0.3 Data Record #1 =========================================================================== Step = 3 Time = 0.3 Data = ux;uy;uz File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_disp_out.txt Data Record #2 =========================================================================== Step = 3 Time = 0.3 Data = Fx;Fy;Fz File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_force_out.txt Data Record #3 =========================================================================== Step = 3 Time = 0.3 Data = s1;s2;s3 File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_stress_out.txt Data Record #4 =========================================================================== Step = 3 Time = 0.3 Data = sed File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_energy_out.txt ]0;(30%) tempModel.feb - FEBio 3.3.3 ===== beginning time step 4 : 0.4 ===== Setting parameter "value" to : 156.96 Reforming stiffness matrix: reformation #1 1 Nonlinear solution status: time= 0.4 stiffness updates = 0 right hand side evaluations = 2 stiffness matrix reformations = 1 step from line search = 1.000000 convergence norms : INITIAL CURRENT REQUIRED residual 1.539778e+03 1.278863e-03 0.000000e+00 energy 1.153143e-02 1.033272e-07 1.153143e-04 displacement 7.224291e-04 7.224291e-04 7.224291e-10 Reforming stiffness matrix: reformation #2 2 Nonlinear solution status: time= 0.4 stiffness updates = 0 right hand side evaluations = 3 stiffness matrix reformations = 2 step from line search = 1.000000 convergence norms : INITIAL CURRENT REQUIRED residual 1.539778e+03 2.439992e-13 0.000000e+00 energy 1.153143e-02 6.925788e-17 1.153143e-04 displacement 7.224291e-04 2.328266e-13 7.224116e-10 convergence summary number of iterations : 2 number of reformations : 2 ------- converged at time : 0.4 Data Record #1 =========================================================================== Step = 4 Time = 0.4 Data = ux;uy;uz File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_disp_out.txt Data Record #2 =========================================================================== Step = 4 Time = 0.4 Data = Fx;Fy;Fz File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_force_out.txt Data Record #3 =========================================================================== Step = 4 Time = 0.4 Data = s1;s2;s3 File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_stress_out.txt Data Record #4 =========================================================================== Step = 4 Time = 0.4 Data = sed File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_energy_out.txt ]0;(40%) tempModel.feb - FEBio 3.3.3 ===== beginning time step 5 : 0.5 ===== Setting parameter "value" to : 196.2 Reforming stiffness matrix: reformation #1 1 Nonlinear solution status: time= 0.5 stiffness updates = 0 right hand side evaluations = 2 stiffness matrix reformations = 1 step from line search = 1.000000 convergence norms : INITIAL CURRENT REQUIRED residual 1.539778e+03 1.789916e-03 0.000000e+00 energy 1.153136e-02 1.216878e-07 1.153136e-04 displacement 7.224171e-04 7.224171e-04 7.224171e-10 Reforming stiffness matrix: reformation #2 2 Nonlinear solution status: time= 0.5 stiffness updates = 0 right hand side evaluations = 3 stiffness matrix reformations = 2 step from line search = 1.000000 convergence norms : INITIAL CURRENT REQUIRED residual 1.539778e+03 2.205398e-12 0.000000e+00 energy 1.153136e-02 1.261282e-16 1.153136e-04 displacement 7.224171e-04 3.295368e-13 7.223962e-10 convergence summary number of iterations : 2 number of reformations : 2 ------- converged at time : 0.5 Data Record #1 =========================================================================== Step = 5 Time = 0.5 Data = ux;uy;uz File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_disp_out.txt Data Record #2 =========================================================================== Step = 5 Time = 0.5 Data = Fx;Fy;Fz File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_force_out.txt Data Record #3 =========================================================================== Step = 5 Time = 0.5 Data = s1;s2;s3 File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_stress_out.txt Data Record #4 =========================================================================== Step = 5 Time = 0.5 Data = sed File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_energy_out.txt ]0;(50%) tempModel.feb - FEBio 3.3.3 ===== beginning time step 6 : 0.6 ===== Setting parameter "value" to : 235.44 Reforming stiffness matrix: reformation #1 1 Nonlinear solution status: time= 0.6 stiffness updates = 0 right hand side evaluations = 2 stiffness matrix reformations = 1 step from line search = 1.000000 convergence norms : INITIAL CURRENT REQUIRED residual 1.539778e+03 2.386492e-03 0.000000e+00 energy 1.153128e-02 1.400444e-07 1.153128e-04 displacement 7.224050e-04 7.224050e-04 7.224050e-10 Reforming stiffness matrix: reformation #2 2 Nonlinear solution status: time= 0.6 stiffness updates = 0 right hand side evaluations = 3 stiffness matrix reformations = 2 step from line search = 1.000000 convergence norms : INITIAL CURRENT REQUIRED residual 1.539778e+03 2.303268e-12 0.000000e+00 energy 1.153128e-02 1.909982e-16 1.153128e-04 displacement 7.224050e-04 4.430186e-13 7.223809e-10 convergence summary number of iterations : 2 number of reformations : 2 ------- converged at time : 0.6 Data Record #1 =========================================================================== Step = 6 Time = 0.6 Data = ux;uy;uz File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_disp_out.txt Data Record #2 =========================================================================== Step = 6 Time = 0.6 Data = Fx;Fy;Fz File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_force_out.txt Data Record #3 =========================================================================== Step = 6 Time = 0.6 Data = s1;s2;s3 File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_stress_out.txt Data Record #4 =========================================================================== Step = 6 Time = 0.6 Data = sed File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_energy_out.txt ]0;(60%) tempModel.feb - FEBio 3.3.3 ===== beginning time step 7 : 0.7 ===== Setting parameter "value" to : 274.68 Reforming stiffness matrix: reformation #1 1 Nonlinear solution status: time= 0.7 stiffness updates = 0 right hand side evaluations = 2 stiffness matrix reformations = 1 step from line search = 1.000000 convergence norms : INITIAL CURRENT REQUIRED residual 1.539778e+03 3.068742e-03 0.000000e+00 energy 1.153120e-02 1.584007e-07 1.153120e-04 displacement 7.223930e-04 7.223930e-04 7.223930e-10 Reforming stiffness matrix: reformation #2 2 Nonlinear solution status: time= 0.7 stiffness updates = 0 right hand side evaluations = 3 stiffness matrix reformations = 2 step from line search = 1.000000 convergence norms : INITIAL CURRENT REQUIRED residual 1.539778e+03 4.878682e-12 0.000000e+00 energy 1.153120e-02 3.043022e-16 1.153120e-04 displacement 7.223930e-04 5.732699e-13 7.223655e-10 convergence summary number of iterations : 2 number of reformations : 2 ------- converged at time : 0.7 Data Record #1 =========================================================================== Step = 7 Time = 0.7 Data = ux;uy;uz File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_disp_out.txt Data Record #2 =========================================================================== Step = 7 Time = 0.7 Data = Fx;Fy;Fz File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_force_out.txt Data Record #3 =========================================================================== Step = 7 Time = 0.7 Data = s1;s2;s3 File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_stress_out.txt Data Record #4 =========================================================================== Step = 7 Time = 0.7 Data = sed File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_energy_out.txt ]0;(70%) tempModel.feb - FEBio 3.3.3 ===== beginning time step 8 : 0.8 ===== Setting parameter "value" to : 313.92 Reforming stiffness matrix: reformation #1 1 Nonlinear solution status: time= 0.8 stiffness updates = 0 right hand side evaluations = 2 stiffness matrix reformations = 1 step from line search = 1.000000 convergence norms : INITIAL CURRENT REQUIRED residual 1.539778e+03 3.836697e-03 0.000000e+00 energy 1.153112e-02 1.767560e-07 1.153112e-04 displacement 7.223809e-04 7.223809e-04 7.223809e-10 Reforming stiffness matrix: reformation #2 2 Nonlinear solution status: time= 0.8 stiffness updates = 0 right hand side evaluations = 3 stiffness matrix reformations = 2 step from line search = 1.000000 convergence norms : INITIAL CURRENT REQUIRED residual 1.539778e+03 5.900405e-12 0.000000e+00 energy 1.153112e-02 4.306212e-16 1.153112e-04 displacement 7.223809e-04 7.202892e-13 7.223502e-10 convergence summary number of iterations : 2 number of reformations : 2 ------- converged at time : 0.8 Data Record #1 =========================================================================== Step = 8 Time = 0.8 Data = ux;uy;uz File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_disp_out.txt Data Record #2 =========================================================================== Step = 8 Time = 0.8 Data = Fx;Fy;Fz File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_force_out.txt Data Record #3 =========================================================================== Step = 8 Time = 0.8 Data = s1;s2;s3 File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_stress_out.txt Data Record #4 =========================================================================== Step = 8 Time = 0.8 Data = sed File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_energy_out.txt ]0;(80%) tempModel.feb - FEBio 3.3.3 ===== beginning time step 9 : 0.9 ===== Setting parameter "value" to : 353.16 Reforming stiffness matrix: reformation #1 1 Nonlinear solution status: time= 0.9 stiffness updates = 0 right hand side evaluations = 2 stiffness matrix reformations = 1 step from line search = 1.000000 convergence norms : INITIAL CURRENT REQUIRED residual 1.539778e+03 4.690245e-03 0.000000e+00 energy 1.153104e-02 1.951088e-07 1.153104e-04 displacement 7.223689e-04 7.223689e-04 7.223689e-10 Reforming stiffness matrix: reformation #2 2 Nonlinear solution status: time= 0.9 stiffness updates = 0 right hand side evaluations = 3 stiffness matrix reformations = 2 step from line search = 1.000000 convergence norms : INITIAL CURRENT REQUIRED residual 1.539778e+03 1.078551e-11 0.000000e+00 energy 1.153104e-02 6.008168e-16 1.153104e-04 displacement 7.223689e-04 8.840727e-13 7.223348e-10 convergence summary number of iterations : 2 number of reformations : 2 ------- converged at time : 0.9 Data Record #1 =========================================================================== Step = 9 Time = 0.9 Data = ux;uy;uz File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_disp_out.txt Data Record #2 =========================================================================== Step = 9 Time = 0.9 Data = Fx;Fy;Fz File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_force_out.txt Data Record #3 =========================================================================== Step = 9 Time = 0.9 Data = s1;s2;s3 File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_stress_out.txt Data Record #4 =========================================================================== Step = 9 Time = 0.9 Data = sed File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_energy_out.txt ]0;(90%) tempModel.feb - FEBio 3.3.3 ===== beginning time step 10 : 1 ===== Setting parameter "value" to : 392.4 Reforming stiffness matrix: reformation #1 1 Nonlinear solution status: time= 1 stiffness updates = 0 right hand side evaluations = 2 stiffness matrix reformations = 1 step from line search = 1.000000 convergence norms : INITIAL CURRENT REQUIRED residual 1.539778e+03 5.629395e-03 0.000000e+00 energy 1.153097e-02 2.134608e-07 1.153097e-04 displacement 7.223568e-04 7.223568e-04 7.223568e-10 Reforming stiffness matrix: reformation #2 2 Nonlinear solution status: time= 1 stiffness updates = 0 right hand side evaluations = 3 stiffness matrix reformations = 2 step from line search = 1.000000 convergence norms : INITIAL CURRENT REQUIRED residual 1.539778e+03 1.643164e-11 0.000000e+00 energy 1.153097e-02 8.206581e-16 1.153097e-04 displacement 7.223568e-04 1.064616e-12 7.223195e-10 convergence summary number of iterations : 2 number of reformations : 2 ------- converged at time : 1 Data Record #1 =========================================================================== Step = 10 Time = 1 Data = ux;uy;uz File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_disp_out.txt Data Record #2 =========================================================================== Step = 10 Time = 1 Data = Fx;Fy;Fz File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_force_out.txt Data Record #3 =========================================================================== Step = 10 Time = 1 Data = s1;s2;s3 File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_stress_out.txt Data Record #4 =========================================================================== Step = 10 Time = 1 Data = sed File = /mnt/data/MATLAB/GIBBON/data/temp/tempModel_energy_out.txt ]0;(100%) tempModel.feb - FEBio 3.3.3 N O N L I N E A R I T E R A T I O N I N F O R M A T I O N Number of time steps completed .................... : 10 Total number of equilibrium iterations ............ : 20 Average number of equilibrium iterations .......... : 2 Total number of right hand evaluations ............ : 30 Total number of stiffness reformations ............ : 20 L I N E A R S O L V E R S T A T S Total calls to linear solver ........ : 20 Avg iterations per solve ............ : 1 Time in linear solver: 0:00:16 ]0;(0%) tempModel.feb - FEBio 3.3.3 Elapsed time : 0:00:37 N O R M A L T E R M I N A T I O N * Log file found. 04-Jun-2021 13:07:29 # Parsing log file... 04-Jun-2021 13:07:29 number of iterations : 2 04-Jun-2021 13:07:29 number of reformations : 2 04-Jun-2021 13:07:29 ------- converged at time : 0.1 04-Jun-2021 13:07:29 number of iterations : 2 04-Jun-2021 13:07:29 number of reformations : 2 04-Jun-2021 13:07:29 ------- converged at time : 0.2 04-Jun-2021 13:07:29 number of iterations : 2 04-Jun-2021 13:07:29 number of reformations : 2 04-Jun-2021 13:07:29 ------- converged at time : 0.3 04-Jun-2021 13:07:29 number of iterations : 2 04-Jun-2021 13:07:29 number of reformations : 2 04-Jun-2021 13:07:29 ------- converged at time : 0.4 04-Jun-2021 13:07:29 number of iterations : 2 04-Jun-2021 13:07:29 number of reformations : 2 04-Jun-2021 13:07:29 ------- converged at time : 0.5 04-Jun-2021 13:07:29 number of iterations : 2 04-Jun-2021 13:07:29 number of reformations : 2 04-Jun-2021 13:07:29 ------- converged at time : 0.6 04-Jun-2021 13:07:29 number of iterations : 2 04-Jun-2021 13:07:29 number of reformations : 2 04-Jun-2021 13:07:29 ------- converged at time : 0.7 04-Jun-2021 13:07:29 number of iterations : 2 04-Jun-2021 13:07:29 number of reformations : 2 04-Jun-2021 13:07:29 ------- converged at time : 0.8 04-Jun-2021 13:07:29 number of iterations : 2 04-Jun-2021 13:07:29 number of reformations : 2 04-Jun-2021 13:07:29 ------- converged at time : 0.9 04-Jun-2021 13:07:29 number of iterations : 2 04-Jun-2021 13:07:29 number of reformations : 2 04-Jun-2021 13:07:29 ------- converged at time : 1 04-Jun-2021 13:07:29 Elapsed time : 0:00:37 04-Jun-2021 13:07:29 N O R M A L T E R M I N A T I O N # Done 04-Jun-2021 13:07:29 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Import FEBio results
if runFlag==1 %i.e. a succesful run
% Importing nodal displacements from a log file [time_mat, N_disp_mat,~]=importFEBio_logfile(fullfile(savePath,febioLogFileName_disp)); %Nodal displacements time_mat=[0; time_mat(:)]; %Time N_disp_mat=N_disp_mat(:,2:end,:); sizImport=size(N_disp_mat); sizImport(3)=sizImport(3)+1; N_disp_mat_n=zeros(sizImport); N_disp_mat_n(:,:,2:end)=N_disp_mat; N_disp_mat=N_disp_mat_n; DN=N_disp_mat(:,:,end); DN_magnitude=sqrt(sum(DN(:,3).^2,2)); V_def=V+DN;
Importing element strain energies from a log file
[~,E_energy,~]=importFEBio_logfile(fullfile(savePath,febioLogFileName_strainEnergy)); %Element strain energy %Remove nodal index column E_energy=E_energy(:,2:end,:); %Add initial state i.e. zero energy sizImport=size(E_energy); sizImport(3)=sizImport(3)+1; E_energy_mat_n=zeros(sizImport); E_energy_mat_n(:,:,2:end)=E_energy; E_energy=E_energy_mat_n;
[FE_face,C_energy_face]=element2patch(E_solid,E_energy(:,:,end),'tet4');
[CV]=faceToVertexMeasure(FE_face,V,C_energy_face);
[indBoundary]=tesBoundary(FE_face,V);
Fb_solid=FE_face(indBoundary,:);
Plotting the simulated results using anim8 to visualize and animate deformations
% Create basic view and store graphics handle to initiate animation hf=cFigure; %Open figure title('Strain energy density') gtitle([febioFebFileNamePart,': Press play to animate']); hp1=gpatch(Fb_solid,V_def,CV,'k',1); %Add graphics object to animate hp1.FaceColor='Interp'; hp2=gpatch(F_implant,V,0.5*ones(1,3),'none',0.25); %A static graphics object axisGeom(gca,fontSize); colormap(gjet(250)); colorbar; caxis([0 max(E_energy(:))/25]); axis([min(V_def(:,1)) max(V_def(:,1)) min(V_def(:,2)) max(V_def(:,2)) min(V_def(:,3)) max(V_def(:,3))]); %Set axis limits statically camlight headlight; % Set up animation features animStruct.Time=time_mat; %The time vector for qt=1:1:size(N_disp_mat,3) %Loop over time increments DN=N_disp_mat(:,:,qt); %Current displacement V_def=V+DN; %Current nodal coordinates [FE_face,C_energy_face]=element2patch(E_solid,E_energy(:,:,qt),'tet4'); [CV]=faceToVertexMeasure(FE_face,V,C_energy_face); %Set entries in animation structure animStruct.Handles{qt}=[hp1 hp1 hp2]; %Handles of objects to animate animStruct.Props{qt}={'Vertices','CData','Vertices'}; %Properties of objects to animate animStruct.Set{qt}={V_def,CV,V_def}; %Property values for to set in order to animate end anim8(hf,animStruct); %Initiate animation feature drawnow;

end
GIBBON footer text
License: https://github.com/gibbonCode/GIBBON/blob/master/LICENSE
GIBBON: The Geometry and Image-based Bioengineering add-On. A toolbox for image segmentation, image-based modeling, meshing, and finite element analysis.
Copyright (C) 2006-2021 Kevin Mattheus Moerman and the GIBBON contributors
This program is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version.
This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.
You should have received a copy of the GNU General Public License along with this program. If not, see http://www.gnu.org/licenses/.