DEMO_febio_0016_cube_viscoelastic_ramp_hold

Below is a demonstration for:

Contents

Keywords

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=[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 stress

%Specifying dimensions and number of elements
cubeSize=10;
sampleWidth=cubeSize; %Width
sampleThickness=cubeSize; %Thickness
sampleHeight=cubeSize; %Height
pointSpacings=5*ones(1,3); %Desired point spacing between nodes
numElementsWidth=round(sampleWidth/pointSpacings(1)); %Number of elemens in dir 1
numElementsThickness=round(sampleThickness/pointSpacings(2)); %Number of elemens in dir 2
numElementsHeight=round(sampleHeight/pointSpacings(3)); %Number of elemens in dir 3

%Define applied displacement
appliedStrain=0.3; %Linear strain (Only used to compute applied stretch)
loadingOption='compression'; % or 'tension'
switch loadingOption
    case 'compression'
        stretchLoad=1-appliedStrain; %The applied stretch for uniaxial loading
    case 'tension'
        stretchLoad=1+appliedStrain; %The applied stretch for uniaxial loading
end
displacementMagnitude=(stretchLoad*sampleHeight)-sampleHeight; %The displacement magnitude

%Material parameter set
c1=1e-3; %Shear-modulus-like parameter
m1=2; %Material parameter setting degree of non-linearity
k_factor=100; %Bulk modulus factor
k=c1*k_factor; %Bulk modulus
g1=1/4; %Viscoelastic QLV proportional coefficient
t1=12; %Viscoelastic QLV time coefficient
d=1e-9; %Density (not required for static analysis)
uncoupledLaw=1; %1=uncoupled, 2=coupled

analysisType='STATIC';

% FEA control settings

t_load=5; %Time from start to max load
t_step_ini1=t_load/20; %Initial desired step size
numTimeSteps1=round(t_load/t_step_ini1); %Number of time steps desired
t_step1=t_load/numTimeSteps1; %Step size
dtmin1=t_step1/100; %Smallest allowed step size
dtmax1=t_step1; %Largest allowed step size

t_hold=40;
t_step_ini2=t_step_ini1; %Initial desired step size
numTimeSteps2=round(t_hold/t_step_ini2); %Number of time steps desired
t_step2=t_hold/numTimeSteps2; %Step size
dtmin2=t_step2/100; %Smallest allowed step size
dtmax2=1; %Largest allowed step size

max_refs=25; %Max reforms
max_ups=0; %Set to zero to use full-Newton iterations
opt_iter=6; %Optimum number of iterations
max_retries=5; %Maximum number of retires

runMode='external';%'internal';

Creating model geometry and mesh

A box is created with tri-linear hexahedral (hex8) elements using the hexMeshBox function. The function offers the boundary faces with seperate labels for the top, bottom, left, right, front, and back sides. As such these can be used to define boundary conditions on the exterior.

% Create a box with hexahedral elements
cubeDimensions=[sampleWidth sampleThickness sampleHeight]; %Dimensions
cubeElementNumbers=[numElementsWidth numElementsThickness numElementsHeight]; %Number of elements
outputStructType=2; %A structure compatible with mesh view
[meshStruct]=hexMeshBox(cubeDimensions,cubeElementNumbers,outputStructType);

%Access elements, nodes, and faces from the structure
E=meshStruct.elements; %The elements
V=meshStruct.nodes; %The nodes (vertices)
Fb=meshStruct.facesBoundary; %The boundary faces
Cb=meshStruct.boundaryMarker; %The "colors" or labels for the boundary faces
elementMaterialIndices=ones(size(E,1),1); %Element material indices

Plotting model boundary surfaces and a cut view

hFig=cFigure;

subplot(1,2,1); hold on;
title('Model boundary surfaces and labels','FontSize',fontSize);
gpatch(Fb,V,Cb,'k',faceAlpha1);
colormap(gjet(6)); icolorbar;
axisGeom(gca,fontSize);

hs=subplot(1,2,2); hold on;
title('Cut view of solid mesh','FontSize',fontSize);
optionStruct.hFig=[hFig hs];
meshView(meshStruct,optionStruct);
axisGeom(gca,fontSize);

drawnow;

Defining the boundary conditions

The visualization of the model boundary shows colors for each side of the cube. These labels can be used to define boundary conditions.

%Define supported node sets
logicFace=Cb==1; %Logic for current face set
Fr=Fb(logicFace,:); %The current face set
bcSupportList_X=unique(Fr(:)); %Node set part of selected face

logicFace=Cb==3; %Logic for current face set
Fr=Fb(logicFace,:); %The current face set
bcSupportList_Y=unique(Fr(:)); %Node set part of selected face

logicFace=Cb==5; %Logic for current face set
Fr=Fb(logicFace,:); %The current face set
bcSupportList_Z=unique(Fr(:)); %Node set part of selected face

%Prescribed displacement nodes
logicPrescribe=Cb==6; %Logic for current face set
Fr=Fb(logicPrescribe,:); %The current face set
bcPrescribeList=unique(Fr(:)); %Node set part of selected face

Visualizing boundary conditions. Markers plotted on the semi-transparent model denote the nodes in the various boundary condition lists.

hf=cFigure;
title('Boundary conditions','FontSize',fontSize);
xlabel('X','FontSize',fontSize); ylabel('Y','FontSize',fontSize); zlabel('Z','FontSize',fontSize);
hold on;

gpatch(Fb,V,'kw','k',0.5);

hl(1)=plotV(V(bcSupportList_X,:),'r.','MarkerSize',markerSize);
hl(2)=plotV(V(bcSupportList_Y,:),'g.','MarkerSize',markerSize);
hl(3)=plotV(V(bcSupportList_Z,:),'b.','MarkerSize',markerSize);
hl(4)=plotV(V(bcPrescribeList,:),'k.','MarkerSize',markerSize);

legend(hl,{'BC x support','BC y support','BC z support','BC z prescribe'});

axisGeom(gca,fontSize);
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='4.0';

%Module section
febio_spec.Module.ATTR.type='solid';

%Control sections for each step
febio_spec.Step.step{1}.Control=febio_spec.Control; %Copy from template
febio_spec.Step.step{1}.ATTR.id=1;
febio_spec.Step.step{1}.Control.analysis=analysisType;
febio_spec.Step.step{1}.Control.time_steps=numTimeSteps1;
febio_spec.Step.step{1}.Control.step_size=t_step1;
febio_spec.Step.step{1}.Control.solver.max_refs=max_refs;
febio_spec.Step.step{1}.Control.time_stepper.dtmin=dtmin1;
febio_spec.Step.step{1}.Control.time_stepper.dtmax=dtmax1;
febio_spec.Step.step{1}.Control.time_stepper.max_retries=max_retries;
febio_spec.Step.step{1}.Control.time_stepper.opt_iter=opt_iter;

febio_spec.Step.step{2}.Control=febio_spec.Control; %Copy from template
febio_spec.Step.step{2}.ATTR.id=2;
febio_spec.Step.step{2}.Control.analysis=analysisType;
febio_spec.Step.step{2}.Control.time_steps=numTimeSteps2;
febio_spec.Step.step{2}.Control.step_size=t_step2;
febio_spec.Step.step{2}.Control.solver.max_refs=max_refs;
febio_spec.Step.step{2}.Control.time_stepper.dtmin=dtmin2;
febio_spec.Step.step{2}.Control.time_stepper.dtmax=dtmax2;
febio_spec.Step.step{2}.Control.time_stepper.max_retries=max_retries;
febio_spec.Step.step{2}.Control.time_stepper.opt_iter=opt_iter;

%Remove control field (part of template) since step specific control sections are used
febio_spec=rmfield(febio_spec,'Control');

%Material section
materialName1='Material1';
febio_spec.Material.material{1}.ATTR.name=materialName1;
switch uncoupledLaw
    case 1
        %Viscoelastic part
        febio_spec.Material.material{1}.ATTR.type='uncoupled viscoelastic';
        febio_spec.Material.material{1}.ATTR.id=1;
        febio_spec.Material.material{1}.g1=g1;
        febio_spec.Material.material{1}.t1=t1;
        febio_spec.Material.material{1}.k=k;
        febio_spec.Material.material{1}.density=d;

        %Elastic part
        febio_spec.Material.material{1}.elastic{1}.ATTR.type='Ogden';
        febio_spec.Material.material{1}.elastic{1}.c1=c1;
        febio_spec.Material.material{1}.elastic{1}.m1=m1;
        febio_spec.Material.material{1}.elastic{1}.c2=c1;
        febio_spec.Material.material{1}.elastic{1}.m2=-m1;
        febio_spec.Material.material{1}.elastic{1}.density=d;
    case 2
        %Viscoelastic part
        febio_spec.Material.material{1}.ATTR.type='viscoelastic';
        febio_spec.Material.material{1}.ATTR.id=1;
        febio_spec.Material.material{1}.g1=g1;
        febio_spec.Material.material{1}.t1=t1;
        febio_spec.Material.material{1}.density=d;

        %Elastic part
        febio_spec.Material.material{1}.elastic{1}.ATTR.type='Ogden unconstrained';
        febio_spec.Material.material{1}.elastic{1}.c1=c1;
        febio_spec.Material.material{1}.elastic{1}.m1=m1;
        febio_spec.Material.material{1}.elastic{1}.c2=c1;
        febio_spec.Material.material{1}.elastic{1}.m2=-m1;
        febio_spec.Material.material{1}.elastic{1}.cp=k;
        febio_spec.Material.material{1}.elastic{1}.density=d;
end

% Mesh section
% -> Nodes
febio_spec.Mesh.Nodes{1}.ATTR.name='Object1'; %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='hex8'; %Element type
febio_spec.Mesh.Elements{1}.elem.ATTR.id=(1:1:size(E,1))'; %Element id's
febio_spec.Mesh.Elements{1}.elem.VAL=E; %The element matrix

% -> NodeSets
nodeSetName1='bcSupportList_X';
nodeSetName2='bcSupportList_Y';
nodeSetName3='bcSupportList_Z';
nodeSetName4='bcPrescribeList';

febio_spec.Mesh.NodeSet{1}.ATTR.name=nodeSetName1;
febio_spec.Mesh.NodeSet{1}.VAL=mrow(bcSupportList_X);

febio_spec.Mesh.NodeSet{2}.ATTR.name=nodeSetName2;
febio_spec.Mesh.NodeSet{2}.VAL=mrow(bcSupportList_Y);

febio_spec.Mesh.NodeSet{3}.ATTR.name=nodeSetName3;
febio_spec.Mesh.NodeSet{3}.VAL=mrow(bcSupportList_Z);

febio_spec.Mesh.NodeSet{4}.ATTR.name=nodeSetName4;
febio_spec.Mesh.NodeSet{4}.VAL=mrow(bcPrescribeList);

%MeshDomains section
febio_spec.MeshDomains.SolidDomain.ATTR.name=partName1;
febio_spec.MeshDomains.SolidDomain.ATTR.mat=materialName1;

%Boundary condition section
% -> Fix boundary conditions
febio_spec.Boundary.bc{1}.ATTR.name='FixedDisplacement01';
febio_spec.Boundary.bc{1}.ATTR.type='zero displacement';
febio_spec.Boundary.bc{1}.ATTR.node_set=nodeSetName1;
febio_spec.Boundary.bc{1}.x_dof=1;
febio_spec.Boundary.bc{1}.y_dof=0;
febio_spec.Boundary.bc{1}.z_dof=0;

febio_spec.Boundary.bc{2}.ATTR.name='FixedDisplacement02';
febio_spec.Boundary.bc{2}.ATTR.type='zero displacement';
febio_spec.Boundary.bc{2}.ATTR.node_set=nodeSetName2;
febio_spec.Boundary.bc{2}.x_dof=0;
febio_spec.Boundary.bc{2}.y_dof=1;
febio_spec.Boundary.bc{2}.z_dof=0;

febio_spec.Boundary.bc{3}.ATTR.name='FixedDisplacement03';
febio_spec.Boundary.bc{3}.ATTR.type='zero displacement';
febio_spec.Boundary.bc{3}.ATTR.node_set=nodeSetName3;
febio_spec.Boundary.bc{3}.x_dof=0;
febio_spec.Boundary.bc{3}.y_dof=0;
febio_spec.Boundary.bc{3}.z_dof=1;

febio_spec.Boundary.bc{4}.ATTR.name='bcPrescribeList';
febio_spec.Boundary.bc{4}.ATTR.type='prescribed displacement';
febio_spec.Boundary.bc{4}.ATTR.node_set=nodeSetName4;
febio_spec.Boundary.bc{4}.dof='z';
febio_spec.Boundary.bc{4}.value.ATTR.lc=1;
febio_spec.Boundary.bc{4}.value.VAL=displacementMagnitude;
febio_spec.Boundary.bc{4}.relative=0;

%LoadData section
% -> load_controller
febio_spec.LoadData.load_controller{1}.ATTR.name='LC1';
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}.extend='CONSTANT';
febio_spec.LoadData.load_controller{1}.points.pt.VAL=[0 0;t_load 1;(t_load+t_hold) 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{2}.ATTR.file=febioLogFileName_force;
febio_spec.Output.logfile.node_data{2}.ATTR.data='Rx;Ry;Rz';
febio_spec.Output.logfile.node_data{2}.ATTR.delim=',';

febio_spec.Output.logfile.element_data{1}.ATTR.file=febioLogFileName_stress;
febio_spec.Output.logfile.element_data{1}.ATTR.data='sz';
febio_spec.Output.logfile.element_data{1}.ATTR.delim=',';

febio_spec.Output.plotfile.compression=0;

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.runMode=runMode;

[runFlag]=runMonitorFEBio(febioAnalysis);%START FEBio NOW!!!!!!!!
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-------->    RUNNING/MONITORING FEBIO JOB    <-------- 01-Sep-2023 11:27:19
FEBio path: /home/kevin/FEBioStudio/bin/febio4
# Attempt removal of existing log files                01-Sep-2023 11:27:19
 * Removal succesful                                   01-Sep-2023 11:27:19
# Attempt removal of existing .xplt files              01-Sep-2023 11:27:19
 * Removal succesful                                   01-Sep-2023 11:27:19
# Starting FEBio...                                    01-Sep-2023 11:27:19
  Max. total analysis time is: Inf s
 * Waiting for log file creation                       01-Sep-2023 11:27:19
   Max. wait time: 30 s
 * Log file found.                                     01-Sep-2023 11:27:19
# Parsing log file...                                  01-Sep-2023 11:27:19
    number of iterations   : 3                         01-Sep-2023 11:27:19
    number of reformations : 3                         01-Sep-2023 11:27:19
------- converged at time : 0.25                       01-Sep-2023 11:27:19
    number of iterations   : 3                         01-Sep-2023 11:27:19
    number of reformations : 3                         01-Sep-2023 11:27:19
------- converged at time : 0.5                        01-Sep-2023 11:27:19
    number of iterations   : 3                         01-Sep-2023 11:27:19
    number of reformations : 3                         01-Sep-2023 11:27:19
------- converged at time : 0.75                       01-Sep-2023 11:27:19
    number of iterations   : 3                         01-Sep-2023 11:27:19
    number of reformations : 3                         01-Sep-2023 11:27:19
------- converged at time : 1                          01-Sep-2023 11:27:19
    number of iterations   : 3                         01-Sep-2023 11:27:19
    number of reformations : 3                         01-Sep-2023 11:27:19
------- converged at time : 1.25                       01-Sep-2023 11:27:19
    number of iterations   : 3                         01-Sep-2023 11:27:19
    number of reformations : 3                         01-Sep-2023 11:27:19
------- converged at time : 1.5                        01-Sep-2023 11:27:19
    number of iterations   : 3                         01-Sep-2023 11:27:19
    number of reformations : 3                         01-Sep-2023 11:27:19
------- converged at time : 1.75                       01-Sep-2023 11:27:19
    number of iterations   : 3                         01-Sep-2023 11:27:19
    number of reformations : 3                         01-Sep-2023 11:27:19
------- converged at time : 2                          01-Sep-2023 11:27:19
    number of iterations   : 3                         01-Sep-2023 11:27:19
    number of reformations : 3                         01-Sep-2023 11:27:19
------- converged at time : 2.25                       01-Sep-2023 11:27:19
    number of iterations   : 3                         01-Sep-2023 11:27:19
    number of reformations : 3                         01-Sep-2023 11:27:19
------- converged at time : 2.5                        01-Sep-2023 11:27:19
    number of iterations   : 3                         01-Sep-2023 11:27:19
    number of reformations : 3                         01-Sep-2023 11:27:19
------- converged at time : 2.75                       01-Sep-2023 11:27:19
    number of iterations   : 3                         01-Sep-2023 11:27:19
    number of reformations : 3                         01-Sep-2023 11:27:19
------- converged at time : 3                          01-Sep-2023 11:27:19
    number of iterations   : 3                         01-Sep-2023 11:27:19
    number of reformations : 3                         01-Sep-2023 11:27:19
------- converged at time : 3.25                       01-Sep-2023 11:27:19
    number of iterations   : 3                         01-Sep-2023 11:27:19
    number of reformations : 3                         01-Sep-2023 11:27:19
------- converged at time : 3.5                        01-Sep-2023 11:27:19
    number of iterations   : 3                         01-Sep-2023 11:27:19
    number of reformations : 3                         01-Sep-2023 11:27:19
------- converged at time : 3.75                       01-Sep-2023 11:27:19
    number of iterations   : 3                         01-Sep-2023 11:27:19
    number of reformations : 3                         01-Sep-2023 11:27:19
------- converged at time : 4                          01-Sep-2023 11:27:19
    number of iterations   : 3                         01-Sep-2023 11:27:19
    number of reformations : 3                         01-Sep-2023 11:27:19
------- converged at time : 4.25                       01-Sep-2023 11:27:19
    number of iterations   : 3                         01-Sep-2023 11:27:19
    number of reformations : 3                         01-Sep-2023 11:27:19
------- converged at time : 4.5                        01-Sep-2023 11:27:19
    number of iterations   : 3                         01-Sep-2023 11:27:19
    number of reformations : 3                         01-Sep-2023 11:27:19
------- converged at time : 4.75                       01-Sep-2023 11:27:19
    number of iterations   : 3                         01-Sep-2023 11:27:19
    number of reformations : 3                         01-Sep-2023 11:27:19
------- converged at time : 5                          01-Sep-2023 11:27:19
    number of iterations   : 2                         01-Sep-2023 11:27:19
    number of reformations : 2                         01-Sep-2023 11:27:19
------- converged at time : 5.25                       01-Sep-2023 11:27:19
    number of iterations   : 2                         01-Sep-2023 11:27:19
    number of reformations : 2                         01-Sep-2023 11:27:19
------- converged at time : 5.65                       01-Sep-2023 11:27:19
    number of iterations   : 2                         01-Sep-2023 11:27:19
    number of reformations : 2                         01-Sep-2023 11:27:19
------- converged at time : 6.17                       01-Sep-2023 11:27:19
    number of iterations   : 2                         01-Sep-2023 11:27:19
    number of reformations : 2                         01-Sep-2023 11:27:19
------- converged at time : 6.786                      01-Sep-2023 11:27:19
    number of iterations   : 2                         01-Sep-2023 11:27:19
    number of reformations : 2                         01-Sep-2023 11:27:19
------- converged at time : 7.4788                     01-Sep-2023 11:27:19
    number of iterations   : 2                         01-Sep-2023 11:27:19
    number of reformations : 2                         01-Sep-2023 11:27:19
------- converged at time : 8.23304                    01-Sep-2023 11:27:19
    number of iterations   : 2                         01-Sep-2023 11:27:19
    number of reformations : 2                         01-Sep-2023 11:27:19
------- converged at time : 9.03643                    01-Sep-2023 11:27:19
    number of iterations   : 2                         01-Sep-2023 11:27:19
    number of reformations : 2                         01-Sep-2023 11:27:19
------- converged at time : 9.87915                    01-Sep-2023 11:27:19
    number of iterations   : 2                         01-Sep-2023 11:27:19
    number of reformations : 2                         01-Sep-2023 11:27:19
------- converged at time : 10.7533                    01-Sep-2023 11:27:19
    number of iterations   : 2                         01-Sep-2023 11:27:19
    number of reformations : 2                         01-Sep-2023 11:27:19
------- converged at time : 11.6527                    01-Sep-2023 11:27:19
    number of iterations   : 2                         01-Sep-2023 11:27:19
    number of reformations : 2                         01-Sep-2023 11:27:19
------- converged at time : 12.5721                    01-Sep-2023 11:27:19
    number of iterations   : 2                         01-Sep-2023 11:27:19
    number of reformations : 2                         01-Sep-2023 11:27:19
------- converged at time : 13.5077                    01-Sep-2023 11:27:19
    number of iterations   : 2                         01-Sep-2023 11:27:19
    number of reformations : 2                         01-Sep-2023 11:27:19
------- converged at time : 14.4562                    01-Sep-2023 11:27:19
    number of iterations   : 2                         01-Sep-2023 11:27:19
    number of reformations : 2                         01-Sep-2023 11:27:19
------- converged at time : 15.4149                    01-Sep-2023 11:27:19
    number of iterations   : 2                         01-Sep-2023 11:27:19
    number of reformations : 2                         01-Sep-2023 11:27:19
------- converged at time : 16.3819                    01-Sep-2023 11:27:19
    number of iterations   : 2                         01-Sep-2023 11:27:19
    number of reformations : 2                         01-Sep-2023 11:27:19
------- converged at time : 17.3556                    01-Sep-2023 11:27:19
    number of iterations   : 2                         01-Sep-2023 11:27:19
    number of reformations : 2                         01-Sep-2023 11:27:19
------- converged at time : 18.3344                    01-Sep-2023 11:27:19
    number of iterations   : 2                         01-Sep-2023 11:27:19
    number of reformations : 2                         01-Sep-2023 11:27:19
------- converged at time : 19.3176                    01-Sep-2023 11:27:19
    number of iterations   : 2                         01-Sep-2023 11:27:19
    number of reformations : 2                         01-Sep-2023 11:27:19
------- converged at time : 20.304                     01-Sep-2023 11:27:19
    number of iterations   : 2                         01-Sep-2023 11:27:19
    number of reformations : 2                         01-Sep-2023 11:27:19
------- converged at time : 21.2932                    01-Sep-2023 11:27:19
    number of iterations   : 2                         01-Sep-2023 11:27:19
    number of reformations : 2                         01-Sep-2023 11:27:19
------- converged at time : 22.2846                    01-Sep-2023 11:27:19
    number of iterations   : 2                         01-Sep-2023 11:27:19
    number of reformations : 2                         01-Sep-2023 11:27:19
------- converged at time : 23.2777                    01-Sep-2023 11:27:19
    number of iterations   : 2                         01-Sep-2023 11:27:19
    number of reformations : 2                         01-Sep-2023 11:27:19
------- converged at time : 24.2721                    01-Sep-2023 11:27:19
    number of iterations   : 2                         01-Sep-2023 11:27:19
    number of reformations : 2                         01-Sep-2023 11:27:19
------- converged at time : 25.2677                    01-Sep-2023 11:27:19
    number of iterations   : 2                         01-Sep-2023 11:27:19
    number of reformations : 2                         01-Sep-2023 11:27:19
------- converged at time : 26.2642                    01-Sep-2023 11:27:19
    number of iterations   : 2                         01-Sep-2023 11:27:19
    number of reformations : 2                         01-Sep-2023 11:27:19
------- converged at time : 27.2613                    01-Sep-2023 11:27:19
    number of iterations   : 2                         01-Sep-2023 11:27:19
    number of reformations : 2                         01-Sep-2023 11:27:19
------- converged at time : 28.2591                    01-Sep-2023 11:27:19
    number of iterations   : 2                         01-Sep-2023 11:27:19
    number of reformations : 2                         01-Sep-2023 11:27:19
------- converged at time : 29.2573                    01-Sep-2023 11:27:19
    number of iterations   : 2                         01-Sep-2023 11:27:19
    number of reformations : 2                         01-Sep-2023 11:27:19
------- converged at time : 30.2558                    01-Sep-2023 11:27:19
    number of iterations   : 2                         01-Sep-2023 11:27:19
    number of reformations : 2                         01-Sep-2023 11:27:19
------- converged at time : 31.2546                    01-Sep-2023 11:27:19
    number of iterations   : 2                         01-Sep-2023 11:27:19
    number of reformations : 2                         01-Sep-2023 11:27:19
------- converged at time : 32.2537                    01-Sep-2023 11:27:19
    number of iterations   : 2                         01-Sep-2023 11:27:19
    number of reformations : 2                         01-Sep-2023 11:27:19
------- converged at time : 33.253                     01-Sep-2023 11:27:19
    number of iterations   : 2                         01-Sep-2023 11:27:19
    number of reformations : 2                         01-Sep-2023 11:27:19
------- converged at time : 34.2524                    01-Sep-2023 11:27:19
    number of iterations   : 1                         01-Sep-2023 11:27:19
    number of reformations : 1                         01-Sep-2023 11:27:19
------- converged at time : 35.2519                    01-Sep-2023 11:27:19
    number of iterations   : 1                         01-Sep-2023 11:27:19
    number of reformations : 1                         01-Sep-2023 11:27:19
------- converged at time : 36.2515                    01-Sep-2023 11:27:19
    number of iterations   : 1                         01-Sep-2023 11:27:19
    number of reformations : 1                         01-Sep-2023 11:27:19
------- converged at time : 37.2512                    01-Sep-2023 11:27:19
    number of iterations   : 1                         01-Sep-2023 11:27:19
    number of reformations : 1                         01-Sep-2023 11:27:19
------- converged at time : 38.251                     01-Sep-2023 11:27:19
    number of iterations   : 1                         01-Sep-2023 11:27:19
    number of reformations : 1                         01-Sep-2023 11:27:19
------- converged at time : 39.2508                    01-Sep-2023 11:27:19
    number of iterations   : 1                         01-Sep-2023 11:27:19
    number of reformations : 1                         01-Sep-2023 11:27:19
------- converged at time : 40.2506                    01-Sep-2023 11:27:19
    number of iterations   : 1                         01-Sep-2023 11:27:19
    number of reformations : 1                         01-Sep-2023 11:27:19
------- converged at time : 41.2505                    01-Sep-2023 11:27:19
    number of iterations   : 1                         01-Sep-2023 11:27:19
    number of reformations : 1                         01-Sep-2023 11:27:19
------- converged at time : 42.2504                    01-Sep-2023 11:27:19
    number of iterations   : 1                         01-Sep-2023 11:27:19
    number of reformations : 1                         01-Sep-2023 11:27:19
------- converged at time : 43.2503                    01-Sep-2023 11:27:19
    number of iterations   : 1                         01-Sep-2023 11:27:19
    number of reformations : 1                         01-Sep-2023 11:27:19
------- converged at time : 44.2503                    01-Sep-2023 11:27:19
    number of iterations   : 1                         01-Sep-2023 11:27:19
    number of reformations : 1                         01-Sep-2023 11:27:19
------- converged at time : 45                         01-Sep-2023 11:27:19
 Elapsed time : 0:00:00                                01-Sep-2023 11:27:19
 N O R M A L   T E R M I N A T I O N
# Done                                                 01-Sep-2023 11:27:19
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

Import FEBio results

if runFlag==1 %i.e. a succesful run

Importing nodal displacements from a log file

    dataStruct=importFEBio_logfile(fullfile(savePath,febioLogFileName_disp),0,1);

    %Access data
    N_disp_mat=dataStruct.data; %Displacement
    timeVec=dataStruct.time; %Time

    %Create deformed coordinate set
    V_DEF=N_disp_mat+repmat(V,[1 1 size(N_disp_mat,3)]);

Plotting the simulated results using anim8 to visualize and animate deformations

    DN_magnitude=sqrt(sum(N_disp_mat(:,:,end).^2,2)); %Current displacement magnitude

    % Create basic view and store graphics handle to initiate animation
    hf=cFigure; %Open figure
    gtitle([febioFebFileNamePart,': Press play to animate']);
    title('Displacement magnitude [mm]','Interpreter','Latex')
    hp=gpatch(Fb,V_DEF(:,:,end),DN_magnitude,'k',1); %Add graphics object to animate
    hp.Marker='.';
    hp.MarkerSize=markerSize2;
    hp.FaceColor='interp';
    gpatch(Fb,V,0.5*ones(1,3),'k',0.25); %A static graphics object

    axisGeom(gca,fontSize);
    colormap(gjet(250)); colorbar;
    caxis([0 max(DN_magnitude)]);
    axis(axisLim(V_DEF)); %Set axis limits statically
    camlight headlight;

    % Set up animation features
    animStruct.Time=timeVec; %The time vector
    for qt=1:1:size(N_disp_mat,3) %Loop over time increments
        DN_magnitude=sqrt(sum(N_disp_mat(:,:,qt).^2,2)); %Current displacement magnitude

        %Set entries in animation structure
        animStruct.Handles{qt}=[hp hp]; %Handles of objects to animate
        animStruct.Props{qt}={'Vertices','CData'}; %Properties of objects to animate
        animStruct.Set{qt}={V_DEF(:,:,qt),DN_magnitude}; %Property values for to set in order to animate
    end
    anim8(hf,animStruct); %Initiate animation feature
    drawnow;

Importing element stress from a log file

    dataStruct=importFEBio_logfile(fullfile(savePath,febioLogFileName_stress),0,1);

    %Access data
    E_stress_mat=dataStruct.data;

Plotting the simulated results using anim8 to visualize and animate deformations

    [CV]=faceToVertexMeasure(E,V,E_stress_mat(:,:,end));

    % Create basic view and store graphics handle to initiate animation
    hf=cFigure; %Open figure
    gtitle([febioFebFileNamePart,': Press play to animate']);
    title('$\sigma_{zz}$ [MPa]','Interpreter','Latex')
    hp=gpatch(Fb,V_DEF(:,:,end),CV,'k',1); %Add graphics object to animate
    hp.Marker='.';
    hp.MarkerSize=markerSize2;
    hp.FaceColor='interp';
    gpatch(Fb,V,0.5*ones(1,3),'k',0.25); %A static graphics object

    axisGeom(gca,fontSize);
    colormap(gjet(250)); colorbar;
    caxis([min(E_stress_mat(:)) max(E_stress_mat(:))]);
    axis(axisLim(V_DEF)); %Set axis limits statically
    camlight headlight;

    % Set up animation features
    animStruct.Time=timeVec; %The time vector
    for qt=1:1:size(N_disp_mat,3) %Loop over time increments

        [CV]=faceToVertexMeasure(E,V,E_stress_mat(:,:,qt));

        %Set entries in animation structure
        animStruct.Handles{qt}=[hp hp]; %Handles of objects to animate
        animStruct.Props{qt}={'Vertices','CData'}; %Properties of objects to animate
        animStruct.Set{qt}={V_DEF(:,:,qt),CV}; %Property values for to set in order to animate
    end
    anim8(hf,animStruct); %Initiate animation feature
    drawnow;

Calculate metrics to visualize time-stress curve

    stress_cauchy_sim=squeeze(mean(E_stress_mat,1)); %Cauchy stress sigma_z

Visualize stress-stretch curve

    cFigure; hold on;
    title('Uniaxial stress-time curve','FontSize',fontSize);
    xlabel('Time [s]','FontSize',fontSize,'Interpreter','Latex');
    ylabel('$\sigma_{zz}$ [MPa]','FontSize',fontSize,'Interpreter','Latex');

    plot(timeVec(:),stress_cauchy_sim(:),'r-','lineWidth',lineWidth);

    view(2); axis tight;  grid on; axis square; box on;
    set(gca,'FontSize',fontSize);
    drawnow;

Importing element stress from a log file

    dataStruct=importFEBio_logfile(fullfile(savePath,febioLogFileName_force),0,1);

    %Access data
    N_force_mat=dataStruct.data;

    force_sim=-squeeze(sum(N_force_mat(:,3,:),1));

Visualize stress-stretch curve

    cFigure; hold on;
    title('Uniaxial stress-time curve','FontSize',fontSize);
    xlabel('Time [s]','FontSize',fontSize,'Interpreter','Latex');
    ylabel('$F_{z}$ [N]','FontSize',fontSize,'Interpreter','Latex');

    plot(timeVec(:),force_sim(:),'r-','lineWidth',lineWidth);

    view(2); axis tight;  grid on; axis square; box on;
    set(gca,'FontSize',fontSize);
    drawnow;
end

GIBBON www.gibboncode.org

Kevin Mattheus Moerman, [email protected]

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) 2006-2023 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/.