DEMO_febio_0068_roll_self_contact_01

Below is a demonstration for:

Contents

Keywords

clear; close all; clc;

Plot settings

fontSize=15;
faceAlpha1=0.8;
faceAlpha2=0.3;
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

%Rod parameters
rodRadius=0.1;

%Define prescribed rotation
numRotations=2;
prescribedRotation=2*pi*numRotations;

%Specifying dimensions and number of elements for slab
sampleHeight=rodRadius/2;%Height
pointSpacing=sampleHeight/1; %Node spacing used in model
sampleWidth=pointSpacing*4; %Width
sampleLength=prescribedRotation*(rodRadius+sampleHeight); %Length
pointSpacings=pointSpacing*[1 1 1]; %Desired point spacing between nodes
numElementsWidth=ceil(sampleWidth/pointSpacings(1)); %Number of elemens in dir 1
numElementsLength=ceil(sampleLength/pointSpacings(2)); %Number of elemens in dir 2
numElementsHeight=ceil(sampleHeight/pointSpacings(3)); %Number of elemens in dir 3

%Define rolling tension (pressure applied at slab end)
pressureValue=-0.1; %Suitable value depends on geometry

%Material parameter set
c1=1; %Shear-modulus-like parameter
m1=2; %Material parameter setting degree of non-linearity
k_factor=50; %Bulk modulus factor
k=c1*k_factor; %Bulk modulus

% FEA control settings
numTimeSteps1=5; %Number of time steps desired
max_refs1=25; %Max reforms
max_ups1=0; %Set to zero to use full-Newton iterations
opt_iter1=15; %Optimum number of iterations
max_retries1=5; %Maximum number of retires
dtmin1=(1/numTimeSteps1)/100; %Minimum time step size
dtmax1=(1/numTimeSteps1); %Maximum time step size
symmetric_stiffness1=0;
min_residual1=1e-20;

numTimeSteps2=100; %Number of time steps desired
max_refs2=25; %Max reforms
max_ups2=0; %Set to zero to use full-Newton iterations
opt_iter2=25; %Optimum number of iterations
max_retries2=20; %Maximum number of retires
dtmin2=(1/numTimeSteps2)/100; %Minimum time step size
dtmax2=(1/numTimeSteps2); %Maximum time step size
symmetric_stiffness2=0;
min_residual2=1e-20;

runMode='external';%'internal';

%Contact parameters
contactPenalty1=5;
laugon1=0;
minaug1=1;
maxaug1=10;
% fric_coeff1=0;

contactPenalty2=0.1;
laugon2=0;
minaug2=1;
maxaug2=10;
fric_coeff2=0;

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
beamDimensions=[sampleWidth sampleLength sampleHeight]; %Dimensions
beamElementNumbers=[numElementsWidth numElementsLength numElementsHeight]; %Number of elements
outputStructType=2; %A structure compatible with mesh view
[meshStruct]=hexMeshBox(beamDimensions,beamElementNumbers,outputStructType);

%Access elements, nodes, and faces from the structure
E1=meshStruct.elements; %The elements
V1=meshStruct.nodes; %The nodes (vertices)
Fb1=meshStruct.facesBoundary; %The boundary faces
Cb1=meshStruct.boundaryMarker; %The "colors" or labels for the boundary faces
elementMaterialIndices=ones(size(E1,1),1); %Element material indices

% Quick attempt at rounding end
% f=V1(:,3);
% f=f-min(f(:));
% f=f./max(f(:));
% f=abs(f-1);
%
% f2=V1(:,2);
% f2=f2-min(f2(:));
% f2=f2./max(f2(:));
% % f2=abs(f2-1);
%
% a=asin(f);
% b=sampleHeight*cos(a);
% V1(:,2)=V1(:,2)+b.*f2;

Creating quadrilateral mesh for the rod

n=2*round((2*pi*rodRadius)/pointSpacing)+1;
t=linspace(0,2*pi,n);
t=t(1:end-1);
y=rodRadius.*sin(t);
z=rodRadius.*cos(t);
x=zeros(size(z));
Vc=[x(:) y(:) z(:)];
Vc(:,3)=Vc(:,3)-min(Vc(:,3))+sampleHeight/2;
Vc(:,1)=Vc(:,1)-min(Vc(:,1))+min(V1(:,1));
Vc(:,2)=Vc(:,2)+max(V1(:,2));

cPar.depth=sampleWidth;
cPar.patchType='quad';
cPar.dir=1;
cPar.n=[1 0 0];
cPar.closeLoopOpt=1;
cPar.numSteps=numElementsWidth+1;
[E2,V2]=polyExtrude(Vc,cPar);
E2=fliplr(E2);

center_of_mass=mean(V2,1);
cFigure; hold on;
gpatch(Fb1,V1,Cb1,'k',faceAlpha1);
patchNormPlot(Fb1,V1);
gpatch(E2,V2,'kw','k',1);
patchNormPlot(E2,V2);
plotV(Vc,'b.-');
axisGeom(gca,fontSize); colormap(gjet(6)); icolorbar;
camlight headlight;
gdrawnow;

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(Fb1,V1,Cb1,'k',faceAlpha1);
gpatch(E2,V2,'kw','k',faceAlpha1);
axisGeom(gca,fontSize); colormap(gjet(6)); icolorbar;
camlight headlight;

hs=subplot(1,2,2); hold on;
title('Cut view of solid mesh','FontSize',fontSize);
optionStruct.hFig=[hFig hs];
gpatch(E2,V2,'kw','k',1);
meshView(meshStruct,optionStruct);
axisGeom(gca,fontSize);

gdrawnow;

Joining node sets

V=[V1;V2;]; %Combined node sets
E2=E2+size(V1,1); %Fixed element indices

numDigitsMerge=6-numOrder(pointSpacing); %base number of digits on mean
[~,indKeep,indFix]=unique(pround(V,numDigitsMerge),'rows');
V=V(indKeep,:);
E2=indFix(E2);
Fb1=indFix(Fb1);
E1=indFix(E1);

Plotting joined geometry

cFigure;
title('Joined node sets','FontSize',fontSize);
xlabel('X','FontSize',fontSize); ylabel('Y','FontSize',fontSize); zlabel('Z','FontSize',fontSize);
hold on;
gpatch(Fb1,V,Cb1,'k',faceAlpha1);
gpatch(E2,V,'kw','k',faceAlpha1);
axisGeom(gca,fontSize); colormap(gjet(6)); icolorbar;
camlight headlight;
gdrawnow;

Define contact surfaces

% The rigid master surface of the sphere
F_contact_secondary_rod=E2;

F_contact_primary_slab1=Fb1(ismember(Cb1,6),:);

F_contact_primary_slab2=Fb1(ismember(Cb1,6),:);
F_contact_primary_slab3=Fb1(ismember(Cb1,[3 4 5 6]),:);

% Plotting surface models
cFigure; hold on;
title('Contact sets and normal directions','FontSize',fontSize);

gpatch(Fb1,V,'kw','none',faceAlpha2);
hl(1)=gpatch(F_contact_secondary_rod,V,'kw','k',0.5);
patchNormPlot(F_contact_secondary_rod,V);
hl(2)=gpatch(F_contact_primary_slab1,V,'b','k',0.85);
patchNormPlot(F_contact_primary_slab1,V);
hl(3)=gpatch(F_contact_primary_slab2,V,'r','k',0.5);
patchNormPlot(F_contact_primary_slab2,V);
hl(4)=gpatch(F_contact_primary_slab3,V,'g','k',1);
patchNormPlot(F_contact_primary_slab3,V);

legend(hl,{'Rigid','Slab1','Slab2','Slab3'});

axisGeom(gca,fontSize);
camlight headlight;
gdrawnow;

Define boundary conditions

%Supported nodes
bcSupportList_1=unique(Fb1(Cb1==3,:));
bcSupportList_X=unique(Fb1(ismember(Cb1,[1,2]),:));
F_slab4=Fb1(ismember(Cb1,3),:);

Visualize BC's

cFigure;
title('Boundary conditions model','FontSize',fontSize);
hold on;

gpatch(Fb1,V,'kw','none',faceAlpha2);
hl2(1)=gpatch(E2,V,'kw','k',1);

hl2(2)=plotV(V(bcSupportList_1,:),'k.','MarkerSize',markerSize*2);
hl2(3)=plotV(V(bcSupportList_X,:),'r.','MarkerSize',markerSize);
hl2(4)=gpatch(F_slab4,V,'g','k',1);
patchNormPlot(F_slab4,V);

legend(hl2,{'Rigid body sphere','BC support XZ','BC support side','Pressure surf'});

axisGeom(gca,fontSize);
camlight headlight;
gdrawnow;

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 section
stepStruct1.Control.analysis='STATIC';
stepStruct1.Control.time_steps=numTimeSteps1;
stepStruct1.Control.step_size=1/numTimeSteps1;
stepStruct1.Control.solver.max_refs=max_refs1;
stepStruct1.Control.solver.qn_method.max_ups=max_ups1;
stepStruct1.Control.solver.symmetric_stiffness=symmetric_stiffness1;
stepStruct1.Control.time_stepper.dtmin=dtmin1;
stepStruct1.Control.time_stepper.dtmax=dtmax1;
stepStruct1.Control.time_stepper.max_retries=max_retries1;
stepStruct1.Control.time_stepper.opt_iter=opt_iter1;

%Add template based default settings to proposed control section
[stepStruct1.Control]=structComplete(stepStruct1.Control,febio_spec.Control,1); %Complement provided with default if missing

stepStruct2.Control.analysis='STATIC';
stepStruct2.Control.time_steps=numTimeSteps2;
stepStruct2.Control.step_size=1/numTimeSteps2;
stepStruct2.Control.solver.max_refs=max_refs2;
stepStruct2.Control.solver.qn_method.max_ups=max_ups2;
stepStruct2.Control.solver.symmetric_stiffness=symmetric_stiffness2;
stepStruct2.Control.time_stepper.dtmin=dtmin2;
stepStruct2.Control.time_stepper.dtmax=dtmax2;
stepStruct2.Control.time_stepper.max_retries=max_retries2;
stepStruct2.Control.time_stepper.opt_iter=opt_iter2;

%Add template based default settings to proposed control section
[stepStruct2.Control]=structComplete(stepStruct2.Control,febio_spec.Control,1); %Complement provided with default if missing

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

febio_spec.Step.step{1}.Control=stepStruct1.Control;
febio_spec.Step.step{1}.ATTR.id=1;
febio_spec.Step.step{2}.Control=stepStruct2.Control;
febio_spec.Step.step{2}.ATTR.id=2;

%Material section
materialName1='Material1';
febio_spec.Material.material{1}.ATTR.name=materialName1;
febio_spec.Material.material{1}.ATTR.type='Ogden';
febio_spec.Material.material{1}.ATTR.id=1;
febio_spec.Material.material{1}.c1=c1;
febio_spec.Material.material{1}.m1=m1;
febio_spec.Material.material{1}.c2=c1;
febio_spec.Material.material{1}.m2=-m1;
febio_spec.Material.material{1}.k=k;

materialName2='Material2';
febio_spec.Material.material{2}.ATTR.name=materialName2;
febio_spec.Material.material{2}.ATTR.type='rigid body';
febio_spec.Material.material{2}.ATTR.id=2;
febio_spec.Material.material{2}.density=1;
febio_spec.Material.material{2}.center_of_mass=center_of_mass;

% 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_slab';
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(E1,1))'; %Element id's
febio_spec.Mesh.Elements{1}.elem.VAL=E1; %The element matrix

partName2='Part2_rod';
febio_spec.Mesh.Elements{2}.ATTR.name=partName2; %Name of this part
febio_spec.Mesh.Elements{2}.ATTR.type='quad4'; %Element type
febio_spec.Mesh.Elements{2}.elem.ATTR.id=size(E1,1)+(1:1:size(E2,1))'; %Element id's
febio_spec.Mesh.Elements{2}.elem.VAL=E2; %The element matrix

% -> NodeSets
nodeSetName1='bcSupportList_1';
febio_spec.Mesh.NodeSet{1}.ATTR.name=nodeSetName1;
febio_spec.Mesh.NodeSet{1}.VAL=mrow(bcSupportList_1);

nodeSetName2='bcSupportList_2';
febio_spec.Mesh.NodeSet{2}.ATTR.name=nodeSetName2;
febio_spec.Mesh.NodeSet{2}.VAL=mrow(bcSupportList_X);

% -> Surfaces
surfaceName1='contactSurface1';
febio_spec.Mesh.Surface{1}.ATTR.name=surfaceName1;
febio_spec.Mesh.Surface{1}.quad4.ATTR.id=(1:1:size(F_contact_secondary_rod,1))';
febio_spec.Mesh.Surface{1}.quad4.VAL=F_contact_secondary_rod;

surfaceName2='contactSurface2';
febio_spec.Mesh.Surface{2}.ATTR.name=surfaceName2;
febio_spec.Mesh.Surface{2}.quad4.ATTR.id=(1:1:size(F_contact_primary_slab1,1))';
febio_spec.Mesh.Surface{2}.quad4.VAL=F_contact_primary_slab1;

surfaceName3='contactSurface3';
febio_spec.Mesh.Surface{3}.ATTR.name=surfaceName3;
febio_spec.Mesh.Surface{3}.quad4.ATTR.id=(1:1:size(F_contact_primary_slab3,1))';
febio_spec.Mesh.Surface{3}.quad4.VAL=F_contact_primary_slab3;

surfaceName4='PressureSurface1';
febio_spec.Mesh.Surface{4}.ATTR.name=surfaceName4;
febio_spec.Mesh.Surface{4}.quad4.ATTR.id=(1:1:size(F_slab4,1))';
febio_spec.Mesh.Surface{4}.quad4.VAL=F_slab4;

% -> Surface pairs
contactPairName1='ContactPair1';
febio_spec.Mesh.SurfacePair{1}.ATTR.name=contactPairName1;
febio_spec.Mesh.SurfacePair{1}.primary=surfaceName2;
febio_spec.Mesh.SurfacePair{1}.secondary=surfaceName1;

contactPairName2='ContactPair2';
febio_spec.Mesh.SurfacePair{2}.ATTR.name=contactPairName2;
febio_spec.Mesh.SurfacePair{2}.primary=surfaceName3;
febio_spec.Mesh.SurfacePair{2}.secondary=surfaceName3;

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

febio_spec.MeshDomains.ShellDomain.ATTR.name=partName2;
febio_spec.MeshDomains.ShellDomain.ATTR.mat=materialName2;

%Boundary condition section
% -> Fix boundary conditions
febio_spec.Boundary.bc{1}.ATTR.name='zero_displacement_xz';
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=1;

febio_spec.Boundary.bc{2}.ATTR.name='zero_displacement_x';
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=1;
febio_spec.Boundary.bc{2}.y_dof=0;
febio_spec.Boundary.bc{2}.z_dof=0;

%Loads section
febio_spec.Step.step{1}.Loads.surface_load{1}.ATTR.type='pressure';
febio_spec.Step.step{1}.Loads.surface_load{1}.ATTR.surface=surfaceName4;
febio_spec.Step.step{1}.Loads.surface_load{1}.pressure.ATTR.lc=1;
febio_spec.Step.step{1}.Loads.surface_load{1}.pressure.VAL=pressureValue;
febio_spec.Step.step{1}.Loads.surface_load{1}.symmetric_stiffness=1;

febio_spec.Step.step{2}.Loads.surface_load{1}.ATTR.type='pressure';
febio_spec.Step.step{2}.Loads.surface_load{1}.ATTR.surface=surfaceName4;
febio_spec.Step.step{2}.Loads.surface_load{1}.pressure.ATTR.lc=1;
febio_spec.Step.step{2}.Loads.surface_load{1}.pressure.VAL=pressureValue;
febio_spec.Step.step{2}.Loads.surface_load{1}.symmetric_stiffness=1;

%Rigid section
% ->Rigid body fix boundary conditions
febio_spec.Step.step{1}.Rigid.rigid_bc{1}.ATTR.name='RigidFix';
febio_spec.Step.step{1}.Rigid.rigid_bc{1}.ATTR.type='rigid_fixed';
febio_spec.Step.step{1}.Rigid.rigid_bc{1}.rb=2;
febio_spec.Step.step{1}.Rigid.rigid_bc{1}.Rx_dof=1;
febio_spec.Step.step{1}.Rigid.rigid_bc{1}.Ry_dof=1;
febio_spec.Step.step{1}.Rigid.rigid_bc{1}.Rz_dof=1;
febio_spec.Step.step{1}.Rigid.rigid_bc{1}.Ru_dof=1;
febio_spec.Step.step{1}.Rigid.rigid_bc{1}.Rv_dof=1;
febio_spec.Step.step{1}.Rigid.rigid_bc{1}.Rw_dof=1;

febio_spec.Step.step{2}.Rigid.rigid_bc{1}.ATTR.name='RigidFix';
febio_spec.Step.step{2}.Rigid.rigid_bc{1}.ATTR.type='rigid_fixed';
febio_spec.Step.step{2}.Rigid.rigid_bc{1}.rb=2;
febio_spec.Step.step{2}.Rigid.rigid_bc{1}.Rx_dof=1;
febio_spec.Step.step{2}.Rigid.rigid_bc{1}.Ry_dof=1;
febio_spec.Step.step{2}.Rigid.rigid_bc{1}.Rz_dof=1;
febio_spec.Step.step{2}.Rigid.rigid_bc{1}.Ru_dof=0;
febio_spec.Step.step{2}.Rigid.rigid_bc{1}.Rv_dof=1;
febio_spec.Step.step{2}.Rigid.rigid_bc{1}.Rw_dof=1;

% ->Rigid body prescribe boundary conditions
febio_spec.Step.step{2}.Rigid.rigid_bc{2}.ATTR.name='RigidPrescribe_rot';
febio_spec.Step.step{2}.Rigid.rigid_bc{2}.ATTR.type='rigid_rotation';
febio_spec.Step.step{2}.Rigid.rigid_bc{2}.rb=2;
febio_spec.Step.step{2}.Rigid.rigid_bc{2}.dof='Ru';
febio_spec.Step.step{2}.Rigid.rigid_bc{2}.value.ATTR.lc=2;
febio_spec.Step.step{2}.Rigid.rigid_bc{2}.value.VAL=prescribedRotation;
febio_spec.Step.step{2}.Rigid.rigid_bc{2}.relative=0;

%Contact section
% febio_spec.Step.step{2}.Contact.contact{1}.ATTR.type='sliding-elastic';
% febio_spec.Step.step{2}.Contact.contact{1}.ATTR.surface_pair=contactPairName1;
% febio_spec.Step.step{2}.Contact.contact{1}.two_pass=0;
% febio_spec.Step.step{2}.Contact.contact{1}.laugon=laugon1;
% febio_spec.Step.step{2}.Contact.contact{1}.tolerance=0.2;
% febio_spec.Step.step{2}.Contact.contact{1}.gaptol=0;
% febio_spec.Step.step{2}.Contact.contact{1}.minaug=minaug1;
% febio_spec.Step.step{2}.Contact.contact{1}.maxaug=maxaug1;
% febio_spec.Step.step{2}.Contact.contact{1}.search_tol=0.01;
% febio_spec.Step.step{2}.Contact.contact{1}.search_radius=0.01;
% febio_spec.Step.step{2}.Contact.contact{1}.symmetric_stiffness=0;
% febio_spec.Step.step{2}.Contact.contact{1}.auto_penalty=1;
% febio_spec.Step.step{2}.Contact.contact{1}.penalty=contactPenalty1;
% febio_spec.Step.step{2}.Contact.contact{1}.fric_coeff=fric_coeff1;

febio_spec.Step.step{2}.Contact.contact{1}.ATTR.surface_pair=contactPairName1;
febio_spec.Step.step{2}.Contact.contact{1}.ATTR.type='sliding-facet-on-facet';
febio_spec.Step.step{2}.Contact.contact{1}.penalty=contactPenalty1;
febio_spec.Step.step{2}.Contact.contact{1}.auto_penalty=1;
febio_spec.Step.step{2}.Contact.contact{1}.two_pass=0;
febio_spec.Step.step{2}.Contact.contact{1}.laugon=laugon1;
febio_spec.Step.step{2}.Contact.contact{1}.tolerance=0.1;
febio_spec.Step.step{2}.Contact.contact{1}.gaptol=0;
febio_spec.Step.step{2}.Contact.contact{1}.minaug=minaug1;
febio_spec.Step.step{2}.Contact.contact{1}.maxaug=maxaug1;
febio_spec.Step.step{2}.Contact.contact{1}.seg_up=0;
febio_spec.Step.step{2}.Contact.contact{1}.search_tol=0.01;

febio_spec.Step.step{2}.Contact.contact{2}.ATTR.type='sliding-elastic';
febio_spec.Step.step{2}.Contact.contact{2}.ATTR.surface_pair=contactPairName2;
febio_spec.Step.step{2}.Contact.contact{2}.two_pass=1;
febio_spec.Step.step{2}.Contact.contact{2}.laugon=laugon2;
febio_spec.Step.step{2}.Contact.contact{2}.tolerance=0.2;
febio_spec.Step.step{2}.Contact.contact{2}.gaptol=0;
febio_spec.Step.step{2}.Contact.contact{2}.minaug=minaug1;
febio_spec.Step.step{2}.Contact.contact{2}.maxaug=maxaug1;
febio_spec.Step.step{2}.Contact.contact{2}.search_tol=0.01;
febio_spec.Step.step{2}.Contact.contact{2}.search_radius=0.01*sqrt(sum((max(V,[],1)-min(V,[],1)).^2,2));
febio_spec.Step.step{2}.Contact.contact{2}.symmetric_stiffness=0;
febio_spec.Step.step{2}.Contact.contact{2}.auto_penalty=1;
febio_spec.Step.step{2}.Contact.contact{2}.penalty=contactPenalty2;
febio_spec.Step.step{2}.Contact.contact{2}.fric_coeff=fric_coeff2;

%LoadData section
% -> load_controller
febio_spec.LoadData.load_controller{1}.ATTR.name='LC_1';
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; 1 1; 2 1];

febio_spec.LoadData.load_controller{2}.ATTR.name='LC_2';
febio_spec.LoadData.load_controller{2}.ATTR.id=2;
febio_spec.LoadData.load_controller{2}.ATTR.type='loadcurve';
febio_spec.LoadData.load_controller{2}.interpolate='LINEAR';
%febio_spec.LoadData.load_controller{2}.extend='CONSTANT';
febio_spec.LoadData.load_controller{2}.points.pt.VAL=[0 0; 1 0; 2 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=',';

% Plotfile section
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;%'internal';

[runFlag]=runMonitorFEBio(febioAnalysis);%START FEBio NOW!!!!!!!!
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-------->    RUNNING/MONITORING FEBIO JOB    <-------- 01-May-2023 08:57:12
FEBio path: /home/kevin/FEBioStudio/bin/febio4
# Attempt removal of existing log files                01-May-2023 08:57:12
 * Removal succesful                                   01-May-2023 08:57:12
# Attempt removal of existing .xplt files              01-May-2023 08:57:12
 * Removal succesful                                   01-May-2023 08:57:12
# Starting FEBio...                                    01-May-2023 08:57:12
  Max. total analysis time is: Inf s
 * Waiting for log file creation                       01-May-2023 08:57:12
   Max. wait time: 30 s
 * Log file found.                                     01-May-2023 08:57:12
# Parsing log file...                                  01-May-2023 08:57:12
    number of iterations   : 8                         01-May-2023 08:57:13
    number of reformations : 8                         01-May-2023 08:57:13
------- converged at time : 0.2                        01-May-2023 08:57:13
    number of iterations   : 5                         01-May-2023 08:57:13
    number of reformations : 5                         01-May-2023 08:57:13
------- converged at time : 0.4                        01-May-2023 08:57:13
    number of iterations   : 4                         01-May-2023 08:57:13
    number of reformations : 4                         01-May-2023 08:57:13
------- converged at time : 0.6                        01-May-2023 08:57:13
    number of iterations   : 4                         01-May-2023 08:57:13
    number of reformations : 4                         01-May-2023 08:57:13
------- converged at time : 0.8                        01-May-2023 08:57:13
    number of iterations   : 4                         01-May-2023 08:57:13
    number of reformations : 4                         01-May-2023 08:57:13
------- converged at time : 1                          01-May-2023 08:57:13
    number of iterations   : 5                         01-May-2023 08:57:13
    number of reformations : 5                         01-May-2023 08:57:13
------- converged at time : 1.01                       01-May-2023 08:57:13
    number of iterations   : 4                         01-May-2023 08:57:13
    number of reformations : 4                         01-May-2023 08:57:13
------- converged at time : 1.02                       01-May-2023 08:57:13
    number of iterations   : 5                         01-May-2023 08:57:13
    number of reformations : 5                         01-May-2023 08:57:13
------- converged at time : 1.03                       01-May-2023 08:57:13
    number of iterations   : 5                         01-May-2023 08:57:13
    number of reformations : 5                         01-May-2023 08:57:13
------- converged at time : 1.04                       01-May-2023 08:57:13
    number of iterations   : 5                         01-May-2023 08:57:13
    number of reformations : 5                         01-May-2023 08:57:13
------- converged at time : 1.05                       01-May-2023 08:57:13
    number of iterations   : 4                         01-May-2023 08:57:13
    number of reformations : 4                         01-May-2023 08:57:13
------- converged at time : 1.06                       01-May-2023 08:57:13
    number of iterations   : 4                         01-May-2023 08:57:13
    number of reformations : 4                         01-May-2023 08:57:13
------- converged at time : 1.07                       01-May-2023 08:57:13
    number of iterations   : 5                         01-May-2023 08:57:13
    number of reformations : 5                         01-May-2023 08:57:13
------- converged at time : 1.08                       01-May-2023 08:57:13
    number of iterations   : 4                         01-May-2023 08:57:13
    number of reformations : 4                         01-May-2023 08:57:13
------- converged at time : 1.09                       01-May-2023 08:57:13
    number of iterations   : 7                         01-May-2023 08:57:13
    number of reformations : 7                         01-May-2023 08:57:13
------- converged at time : 1.1                        01-May-2023 08:57:13
    number of iterations   : 5                         01-May-2023 08:57:14
    number of reformations : 5                         01-May-2023 08:57:14
------- converged at time : 1.11                       01-May-2023 08:57:14
    number of iterations   : 5                         01-May-2023 08:57:14
    number of reformations : 5                         01-May-2023 08:57:14
------- converged at time : 1.12                       01-May-2023 08:57:14
    number of iterations   : 5                         01-May-2023 08:57:14
    number of reformations : 5                         01-May-2023 08:57:14
------- converged at time : 1.13                       01-May-2023 08:57:14
    number of iterations   : 5                         01-May-2023 08:57:14
    number of reformations : 5                         01-May-2023 08:57:14
------- converged at time : 1.14                       01-May-2023 08:57:14
    number of iterations   : 5                         01-May-2023 08:57:14
    number of reformations : 5                         01-May-2023 08:57:14
------- converged at time : 1.15                       01-May-2023 08:57:14
    number of iterations   : 5                         01-May-2023 08:57:14
    number of reformations : 5                         01-May-2023 08:57:14
------- converged at time : 1.16                       01-May-2023 08:57:14
    number of iterations   : 5                         01-May-2023 08:57:14
    number of reformations : 5                         01-May-2023 08:57:14
------- converged at time : 1.17                       01-May-2023 08:57:14
    number of iterations   : 5                         01-May-2023 08:57:14
    number of reformations : 5                         01-May-2023 08:57:14
------- converged at time : 1.18                       01-May-2023 08:57:14
    number of iterations   : 5                         01-May-2023 08:57:14
    number of reformations : 5                         01-May-2023 08:57:14
------- converged at time : 1.19                       01-May-2023 08:57:14
    number of iterations   : 5                         01-May-2023 08:57:14
    number of reformations : 5                         01-May-2023 08:57:14
------- converged at time : 1.2                        01-May-2023 08:57:14
    number of iterations   : 5                         01-May-2023 08:57:14
    number of reformations : 5                         01-May-2023 08:57:14
------- converged at time : 1.21                       01-May-2023 08:57:14
    number of iterations   : 5                         01-May-2023 08:57:14
    number of reformations : 5                         01-May-2023 08:57:14
------- converged at time : 1.22                       01-May-2023 08:57:14
    number of iterations   : 5                         01-May-2023 08:57:15
    number of reformations : 5                         01-May-2023 08:57:15
------- converged at time : 1.23                       01-May-2023 08:57:15
    number of iterations   : 5                         01-May-2023 08:57:15
    number of reformations : 5                         01-May-2023 08:57:15
------- converged at time : 1.24                       01-May-2023 08:57:15
    number of iterations   : 5                         01-May-2023 08:57:15
    number of reformations : 5                         01-May-2023 08:57:15
------- converged at time : 1.25                       01-May-2023 08:57:15
    number of iterations   : 5                         01-May-2023 08:57:15
    number of reformations : 5                         01-May-2023 08:57:15
------- converged at time : 1.26                       01-May-2023 08:57:15
    number of iterations   : 5                         01-May-2023 08:57:15
    number of reformations : 5                         01-May-2023 08:57:15
------- converged at time : 1.27                       01-May-2023 08:57:15
    number of iterations   : 5                         01-May-2023 08:57:15
    number of reformations : 5                         01-May-2023 08:57:15
------- converged at time : 1.28                       01-May-2023 08:57:15
    number of iterations   : 5                         01-May-2023 08:57:15
    number of reformations : 5                         01-May-2023 08:57:15
------- converged at time : 1.29                       01-May-2023 08:57:15
    number of iterations   : 6                         01-May-2023 08:57:15
    number of reformations : 6                         01-May-2023 08:57:15
------- converged at time : 1.3                        01-May-2023 08:57:15
    number of iterations   : 6                         01-May-2023 08:57:15
    number of reformations : 6                         01-May-2023 08:57:15
------- converged at time : 1.31                       01-May-2023 08:57:15
    number of iterations   : 6                         01-May-2023 08:57:15
    number of reformations : 6                         01-May-2023 08:57:15
------- converged at time : 1.32                       01-May-2023 08:57:15
    number of iterations   : 6                         01-May-2023 08:57:15
    number of reformations : 6                         01-May-2023 08:57:15
------- converged at time : 1.33                       01-May-2023 08:57:15
    number of iterations   : 6                         01-May-2023 08:57:16
    number of reformations : 6                         01-May-2023 08:57:16
------- converged at time : 1.34                       01-May-2023 08:57:16
    number of iterations   : 6                         01-May-2023 08:57:16
    number of reformations : 6                         01-May-2023 08:57:16
------- converged at time : 1.35                       01-May-2023 08:57:16
    number of iterations   : 6                         01-May-2023 08:57:16
    number of reformations : 6                         01-May-2023 08:57:16
------- converged at time : 1.36                       01-May-2023 08:57:16
    number of iterations   : 6                         01-May-2023 08:57:16
    number of reformations : 6                         01-May-2023 08:57:16
------- converged at time : 1.37                       01-May-2023 08:57:16
    number of iterations   : 6                         01-May-2023 08:57:16
    number of reformations : 6                         01-May-2023 08:57:16
------- converged at time : 1.38                       01-May-2023 08:57:16
    number of iterations   : 6                         01-May-2023 08:57:16
    number of reformations : 6                         01-May-2023 08:57:16
------- converged at time : 1.39                       01-May-2023 08:57:16
    number of iterations   : 6                         01-May-2023 08:57:16
    number of reformations : 6                         01-May-2023 08:57:16
------- converged at time : 1.4                        01-May-2023 08:57:16
    number of iterations   : 9                         01-May-2023 08:57:16
    number of reformations : 9                         01-May-2023 08:57:16
------- converged at time : 1.41                       01-May-2023 08:57:16
    number of iterations   : 6                         01-May-2023 08:57:16
    number of reformations : 6                         01-May-2023 08:57:16
------- converged at time : 1.42                       01-May-2023 08:57:16
    number of iterations   : 6                         01-May-2023 08:57:17
    number of reformations : 6                         01-May-2023 08:57:17
------- converged at time : 1.43                       01-May-2023 08:57:17
    number of iterations   : 7                         01-May-2023 08:57:17
    number of reformations : 7                         01-May-2023 08:57:17
------- converged at time : 1.44                       01-May-2023 08:57:17
    number of iterations   : 6                         01-May-2023 08:57:17
    number of reformations : 6                         01-May-2023 08:57:17
------- converged at time : 1.45                       01-May-2023 08:57:17
    number of iterations   : 8                         01-May-2023 08:57:17
    number of reformations : 8                         01-May-2023 08:57:17
------- converged at time : 1.46                       01-May-2023 08:57:17
    number of iterations   : 22                        01-May-2023 08:57:17
    number of reformations : 22                        01-May-2023 08:57:17
------- converged at time : 1.47                       01-May-2023 08:57:17
    number of iterations   : 18                        01-May-2023 08:57:17
    number of reformations : 18                        01-May-2023 08:57:17
------- converged at time : 1.48                       01-May-2023 08:57:17
    number of iterations   : 12                        01-May-2023 08:57:18
    number of reformations : 12                        01-May-2023 08:57:18
------- converged at time : 1.49                       01-May-2023 08:57:18
    number of iterations   : 12                        01-May-2023 08:57:18
    number of reformations : 12                        01-May-2023 08:57:18
------- converged at time : 1.5                        01-May-2023 08:57:18
    number of iterations   : 11                        01-May-2023 08:57:18
    number of reformations : 11                        01-May-2023 08:57:18
------- converged at time : 1.51                       01-May-2023 08:57:18
    number of iterations   : 11                        01-May-2023 08:57:18
    number of reformations : 11                        01-May-2023 08:57:18
------- converged at time : 1.52                       01-May-2023 08:57:18
    number of iterations   : 11                        01-May-2023 08:57:18
    number of reformations : 11                        01-May-2023 08:57:18
------- converged at time : 1.53                       01-May-2023 08:57:18
    number of iterations   : 9                         01-May-2023 08:57:19
    number of reformations : 9                         01-May-2023 08:57:19
------- converged at time : 1.54                       01-May-2023 08:57:19
    number of iterations   : 9                         01-May-2023 08:57:19
    number of reformations : 9                         01-May-2023 08:57:19
------- converged at time : 1.55                       01-May-2023 08:57:19
    number of iterations   : 9                         01-May-2023 08:57:19
    number of reformations : 9                         01-May-2023 08:57:19
------- converged at time : 1.56                       01-May-2023 08:57:19
    number of iterations   : 9                         01-May-2023 08:57:19
    number of reformations : 9                         01-May-2023 08:57:19
------- converged at time : 1.57                       01-May-2023 08:57:19
    number of iterations   : 7                         01-May-2023 08:57:19
    number of reformations : 7                         01-May-2023 08:57:19
------- converged at time : 1.58                       01-May-2023 08:57:19
    number of iterations   : 8                         01-May-2023 08:57:19
    number of reformations : 8                         01-May-2023 08:57:19
------- converged at time : 1.59                       01-May-2023 08:57:19
    number of iterations   : 10                        01-May-2023 08:57:20
    number of reformations : 10                        01-May-2023 08:57:20
------- converged at time : 1.6                        01-May-2023 08:57:20
    number of iterations   : 10                        01-May-2023 08:57:20
    number of reformations : 10                        01-May-2023 08:57:20
------- converged at time : 1.61                       01-May-2023 08:57:20
    number of iterations   : 10                        01-May-2023 08:57:20
    number of reformations : 10                        01-May-2023 08:57:20
------- converged at time : 1.62                       01-May-2023 08:57:20
    number of iterations   : 10                        01-May-2023 08:57:20
    number of reformations : 10                        01-May-2023 08:57:20
------- converged at time : 1.63                       01-May-2023 08:57:20
    number of iterations   : 10                        01-May-2023 08:57:20
    number of reformations : 10                        01-May-2023 08:57:20
------- converged at time : 1.64                       01-May-2023 08:57:20
    number of iterations   : 10                        01-May-2023 08:57:21
    number of reformations : 10                        01-May-2023 08:57:21
------- converged at time : 1.65                       01-May-2023 08:57:21
    number of iterations   : 9                         01-May-2023 08:57:21
    number of reformations : 9                         01-May-2023 08:57:21
------- converged at time : 1.66                       01-May-2023 08:57:21
    number of iterations   : 10                        01-May-2023 08:57:21
    number of reformations : 10                        01-May-2023 08:57:21
------- converged at time : 1.67                       01-May-2023 08:57:21
    number of iterations   : 10                        01-May-2023 08:57:21
    number of reformations : 10                        01-May-2023 08:57:21
------- converged at time : 1.68                       01-May-2023 08:57:21
    number of iterations   : 10                        01-May-2023 08:57:21
    number of reformations : 10                        01-May-2023 08:57:21
------- converged at time : 1.69                       01-May-2023 08:57:21
    number of iterations   : 10                        01-May-2023 08:57:22
    number of reformations : 10                        01-May-2023 08:57:22
------- converged at time : 1.7                        01-May-2023 08:57:22
    number of iterations   : 10                        01-May-2023 08:57:22
    number of reformations : 10                        01-May-2023 08:57:22
------- converged at time : 1.71                       01-May-2023 08:57:22
    number of iterations   : 10                        01-May-2023 08:57:22
    number of reformations : 10                        01-May-2023 08:57:22
------- converged at time : 1.72                       01-May-2023 08:57:22
    number of iterations   : 10                        01-May-2023 08:57:22
    number of reformations : 10                        01-May-2023 08:57:22
------- converged at time : 1.73                       01-May-2023 08:57:22
    number of iterations   : 10                        01-May-2023 08:57:22
    number of reformations : 10                        01-May-2023 08:57:22
------- converged at time : 1.74                       01-May-2023 08:57:22
    number of iterations   : 10                        01-May-2023 08:57:23
    number of reformations : 10                        01-May-2023 08:57:23
------- converged at time : 1.75                       01-May-2023 08:57:23
    number of iterations   : 10                        01-May-2023 08:57:23
    number of reformations : 10                        01-May-2023 08:57:23
------- converged at time : 1.76                       01-May-2023 08:57:23
    number of iterations   : 10                        01-May-2023 08:57:23
    number of reformations : 10                        01-May-2023 08:57:23
------- converged at time : 1.77                       01-May-2023 08:57:23
    number of iterations   : 10                        01-May-2023 08:57:23
    number of reformations : 10                        01-May-2023 08:57:23
------- converged at time : 1.78                       01-May-2023 08:57:23
    number of iterations   : 10                        01-May-2023 08:57:24
    number of reformations : 10                        01-May-2023 08:57:24
------- converged at time : 1.79                       01-May-2023 08:57:24
    number of iterations   : 10                        01-May-2023 08:57:24
    number of reformations : 10                        01-May-2023 08:57:24
------- converged at time : 1.8                        01-May-2023 08:57:24
    number of iterations   : 11                        01-May-2023 08:57:24
    number of reformations : 11                        01-May-2023 08:57:24
------- converged at time : 1.81                       01-May-2023 08:57:24
    number of iterations   : 9                         01-May-2023 08:57:24
    number of reformations : 9                         01-May-2023 08:57:24
------- converged at time : 1.82                       01-May-2023 08:57:24
    number of iterations   : 9                         01-May-2023 08:57:25
    number of reformations : 9                         01-May-2023 08:57:25
------- converged at time : 1.83                       01-May-2023 08:57:25
    number of iterations   : 9                         01-May-2023 08:57:25
    number of reformations : 9                         01-May-2023 08:57:25
------- converged at time : 1.84                       01-May-2023 08:57:25
    number of iterations   : 9                         01-May-2023 08:57:25
    number of reformations : 9                         01-May-2023 08:57:25
------- converged at time : 1.85                       01-May-2023 08:57:25
    number of iterations   : 10                        01-May-2023 08:57:25
    number of reformations : 10                        01-May-2023 08:57:25
------- converged at time : 1.86                       01-May-2023 08:57:25
    number of iterations   : 10                        01-May-2023 08:57:26
    number of reformations : 10                        01-May-2023 08:57:26
------- converged at time : 1.87                       01-May-2023 08:57:26
    number of iterations   : 10                        01-May-2023 08:57:26
    number of reformations : 10                        01-May-2023 08:57:26
------- converged at time : 1.88                       01-May-2023 08:57:26
    number of iterations   : 8                         01-May-2023 08:57:26
    number of reformations : 8                         01-May-2023 08:57:26
------- converged at time : 1.89                       01-May-2023 08:57:26
    number of iterations   : 8                         01-May-2023 08:57:26
    number of reformations : 8                         01-May-2023 08:57:26
------- converged at time : 1.9                        01-May-2023 08:57:26
    number of iterations   : 7                         01-May-2023 08:57:26
    number of reformations : 7                         01-May-2023 08:57:26
------- converged at time : 1.91                       01-May-2023 08:57:26
    number of iterations   : 7                         01-May-2023 08:57:27
    number of reformations : 7                         01-May-2023 08:57:27
------- converged at time : 1.92                       01-May-2023 08:57:27
    number of iterations   : 6                         01-May-2023 08:57:27
    number of reformations : 6                         01-May-2023 08:57:27
------- converged at time : 1.93                       01-May-2023 08:57:27
    number of iterations   : 8                         01-May-2023 08:57:27
    number of reformations : 8                         01-May-2023 08:57:27
------- converged at time : 1.94                       01-May-2023 08:57:27
    number of iterations   : 9                         01-May-2023 08:57:27
    number of reformations : 9                         01-May-2023 08:57:27
------- converged at time : 1.95                       01-May-2023 08:57:27
    number of iterations   : 12                        01-May-2023 08:57:28
    number of reformations : 12                        01-May-2023 08:57:28
------- converged at time : 1.96                       01-May-2023 08:57:28
    number of iterations   : 15                        01-May-2023 08:57:28
    number of reformations : 15                        01-May-2023 08:57:28
------- converged at time : 1.97                       01-May-2023 08:57:28
    number of iterations   : 10                        01-May-2023 08:57:28
    number of reformations : 10                        01-May-2023 08:57:28
------- converged at time : 1.98                       01-May-2023 08:57:28
    number of iterations   : 11                        01-May-2023 08:57:29
    number of reformations : 11                        01-May-2023 08:57:29
------- converged at time : 1.99                       01-May-2023 08:57:29
    number of iterations   : 13                        01-May-2023 08:57:29
    number of reformations : 13                        01-May-2023 08:57:29
------- converged at time : 2                          01-May-2023 08:57:29
 Elapsed time : 0:00:17                                01-May-2023 08:57:29
 N O R M A L   T E R M I N A T I O N
# Done                                                 01-May-2023 08:57:29
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

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(Fb1,V_DEF(:,:,end),DN_magnitude,'k',1); %Add graphics object to animate
    hp.Marker='.';
    hp.MarkerSize=markerSize2;
    hp.FaceColor='interp';

    hp2=gpatch(E2,V_DEF(:,:,end),'w','k',1); %Add graphics object to animate

    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 hp2]; %Handles of objects to animate
        animStruct.Props{qt}={'Vertices','CData','Vertices'}; %Properties of objects to animate
        animStruct.Set{qt}={V_DEF(:,:,qt),DN_magnitude,V_DEF(:,:,qt)}; %Property values for to set in order to animate
    end
    anim8(hf,animStruct); %Initiate animation feature
    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) 2006-2022 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/.