DEMO_febio_0078_actuator_perfect_osmometer_01

Below is a demonstration for:

Contents

Keywords

clear; close all; clc;

Plot settings

fontSize=20;
faceAlpha1=0.8;
markerSize=40;
markerSize2=25;
lineWidth=3;
cMap=spectral(250); %colormap

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_vol=[febioFebFileNamePart,'_vol_out.txt']; %Log file name for exporting stress
febioLogFileName_stress_prin=[febioFebFileNamePart,'_stress_prin_out.txt']; %Log file name for exporting principal stress

%Specifying dimensions and number of elements
sampleWidth=0.5; %Width
sampleThickness=1.5; %Thickness
sampleHeight=7; %Height
pointSpacings=0.25*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

%Material parameter set
E_youngs=1;
v_pois=0.3;

anisotropicOption=0;
if anisotropicOption==1
    ksi=[500 500 0.01];
    beta=[3 3 3];
end

iosm=300;
bosm_ini=iosm;
bosm_diff_amp=200;

% FEA control settings
numTimeSteps=25; %Number of time steps desired
max_refs=25; %Max reforms
max_ups=0; %Set to zero to use full-Newton iterations
opt_iter=25; %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
runMode='external';

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
VE=patchCentre(E,V);
logicSide=VE(:,1)<0;
E1=E(logicSide,:); %First set
E2=E(~logicSide,:); %Second set
E=[E1;E2]; %Reorder full set

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.

%Prescribed displacement nodes
bcSupportList=unique(Fb(Cb==5,:)); %Node set for 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,:),'k.','MarkerSize',markerSize);

legend(hl,{'BC support'});

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;

%Set globals/constants
febio_spec.Globals.Constants.R=8.314e-6;
febio_spec.Globals.Constants.T=310;

%febio_spec version
febio_spec.ATTR.version='3.0';

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

%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.time_stepper.dtmin=dtmin;
febio_spec.Control.time_stepper.max_retries=max_retries;
febio_spec.Control.time_stepper.opt_iter=opt_iter;

%Use must-points by specifying
febio_spec.Control.time_stepper=rmfield(febio_spec.Control.time_stepper,'dtmax'); %Remove existing template dtmax definition
febio_spec.Control.time_stepper.dtmax.ATTR.lc=1; %Set load curve id for dtmax
febio_spec.Control.time_stepper.dtmax.VAL=1; %Set value

%Material section
materialName1='Material1';
febio_spec.Material.material{1}.ATTR.name=materialName1;
febio_spec.Material.material{1}.ATTR.type='solid mixture';
febio_spec.Material.material{1}.ATTR.id=1;
febio_spec.Material.material{1}.mat_axis.ATTR.type='vector';
febio_spec.Material.material{1}.mat_axis.a=[1 0 0];
febio_spec.Material.material{1}.mat_axis.d=[0 1 0];

febio_spec.Material.material{1}.solid{1}.ATTR.type='perfect osmometer';
febio_spec.Material.material{1}.solid{1}.phiw0=0.8;
febio_spec.Material.material{1}.solid{1}.iosm=iosm;
febio_spec.Material.material{1}.solid{1}.bosm.ATTR.lc=2;
febio_spec.Material.material{1}.solid{1}.bosm.VAL=1;

febio_spec.Material.material{1}.solid{2}.ATTR.type='neo-Hookean';
febio_spec.Material.material{1}.solid{2}.E=1;
febio_spec.Material.material{1}.solid{2}.v=0.3;

if anisotropicOption==1
    febio_spec.Material.material{1}.solid{3}.ATTR.type='ellipsoidal fiber distribution';
    febio_spec.Material.material{1}.solid{3}.ksi=ksi;
    febio_spec.Material.material{1}.solid{3}.beta=beta;
end

materialName2='Material2';
febio_spec.Material.material{2}.ATTR.name=materialName2;
febio_spec.Material.material{2}.ATTR.type='solid mixture';
febio_spec.Material.material{2}.ATTR.id=2;
febio_spec.Material.material{1}.mat_axis.ATTR.type='vector';
febio_spec.Material.material{1}.mat_axis.a=[1 0 0];
febio_spec.Material.material{1}.mat_axis.d=[0 1 0];

febio_spec.Material.material{2}.solid{1}.ATTR.type='perfect osmometer';
febio_spec.Material.material{2}.solid{1}.phiw0=0.8;
febio_spec.Material.material{2}.solid{1}.iosm=iosm;
febio_spec.Material.material{2}.solid{1}.bosm.ATTR.lc=3;
febio_spec.Material.material{2}.solid{1}.bosm.VAL=1;

febio_spec.Material.material{2}.solid{2}.ATTR.type='neo-Hookean';
febio_spec.Material.material{2}.solid{2}.E=E_youngs;
febio_spec.Material.material{2}.solid{2}.v=v_pois;

if anisotropicOption==1
    febio_spec.Material.material{2}.solid{3}.ATTR.type='ellipsoidal fiber distribution';
    febio_spec.Material.material{2}.solid{3}.ksi=ksi;
    febio_spec.Material.material{2}.solid{3}.beta=beta;
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(E1,1))'; %Element id's
febio_spec.Mesh.Elements{1}.elem.VAL=E1; %The element matrix

partName2='Part2';
febio_spec.Mesh.Elements{2}.ATTR.name=partName2; %Name of this part
febio_spec.Mesh.Elements{2}.ATTR.type='hex8'; %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';

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;

%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';

%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='STEP';
febio_spec.LoadData.load_controller{1}.points.point.VAL=[0 dtmax; 0.25 dtmax; 0.5 dtmax; 0.75 dtmax; 1 dtmax];

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}.points.point.VAL=[0 bosm_ini; 0.25 bosm_ini+bosm_diff_amp; 0.5 bosm_ini; 0.75 bosm_ini-bosm_diff_amp; 1 bosm_ini];

febio_spec.LoadData.load_controller{3}.ATTR.id=3;
febio_spec.LoadData.load_controller{3}.ATTR.type='loadcurve';
febio_spec.LoadData.load_controller{3}.interpolate='LINEAR';
febio_spec.LoadData.load_controller{3}.points.point.VAL=[0 bosm_ini; 0.25 bosm_ini-bosm_diff_amp; 0.5 bosm_ini; 0.75 bosm_ini+bosm_diff_amp; 1 bosm_ini];

%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.element_data{1}.ATTR.file=febioLogFileName_vol;
febio_spec.Output.logfile.element_data{1}.ATTR.data='J';
febio_spec.Output.logfile.element_data{1}.ATTR.delim=',';

febio_spec.Output.logfile.element_data{2}.ATTR.file=febioLogFileName_stress_prin;
febio_spec.Output.logfile.element_data{2}.ATTR.data='s1;s2;s3';
febio_spec.Output.logfile.element_data{2}.ATTR.delim=',';

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
%system(['gedit ',febioFebFileName,' &']);

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;
febioAnalysis.maxLogCheckTime=10; %Max log file checking time

[runFlag]=runMonitorFEBio(febioAnalysis);%START FEBio NOW!!!!!!!!
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-------->    RUNNING/MONITORING FEBIO JOB    <-------- 23-Feb-2022 13:23:27
FEBio path: /home/kevin/FEBioStudio/bin/febio3
# Attempt removal of existing log files                23-Feb-2022 13:23:27
 * Removal succesful                                   23-Feb-2022 13:23:27
# Attempt removal of existing .xplt files              23-Feb-2022 13:23:27
 * Removal succesful                                   23-Feb-2022 13:23:27
# Starting FEBio...                                    23-Feb-2022 13:23:27
  Max. total analysis time is: Inf s
 * Waiting for log file creation                       23-Feb-2022 13:23:27
   Max. wait time: 10 s
 * Log file found.                                     23-Feb-2022 13:23:27
# Parsing log file...                                  23-Feb-2022 13:23:27
    number of iterations   : 17                        23-Feb-2022 13:23:27
    number of reformations : 17                        23-Feb-2022 13:23:27
------- converged at time : 0.04                       23-Feb-2022 13:23:27
    number of iterations   : 17                        23-Feb-2022 13:23:28
    number of reformations : 17                        23-Feb-2022 13:23:28
------- converged at time : 0.08                       23-Feb-2022 13:23:28
    number of iterations   : 19                        23-Feb-2022 13:23:28
    number of reformations : 19                        23-Feb-2022 13:23:28
------- converged at time : 0.12                       23-Feb-2022 13:23:28
    number of iterations   : 18                        23-Feb-2022 13:23:28
    number of reformations : 18                        23-Feb-2022 13:23:28
------- converged at time : 0.16                       23-Feb-2022 13:23:28
    number of reformations : 18                        23-Feb-2022 13:23:29
------- converged at time : 0.2                        23-Feb-2022 13:23:29
    number of iterations   : 19                        23-Feb-2022 13:23:29
    number of reformations : 19                        23-Feb-2022 13:23:29
------- converged at time : 0.24                       23-Feb-2022 13:23:29
    number of iterations   : 11                        23-Feb-2022 13:23:29
    number of reformations : 11                        23-Feb-2022 13:23:29
------- converged at time : 0.25                       23-Feb-2022 13:23:29
    number of iterations   : 18                        23-Feb-2022 13:23:29
    number of reformations : 18                        23-Feb-2022 13:23:29
------- converged at time : 0.29                       23-Feb-2022 13:23:29
    number of iterations   : 17                        23-Feb-2022 13:23:30
    number of reformations : 17                        23-Feb-2022 13:23:30
------- converged at time : 0.33                       23-Feb-2022 13:23:30
    number of iterations   : 16                        23-Feb-2022 13:23:30
    number of reformations : 16                        23-Feb-2022 13:23:30
------- converged at time : 0.37                       23-Feb-2022 13:23:30
    number of iterations   : 15                        23-Feb-2022 13:23:30
    number of reformations : 15                        23-Feb-2022 13:23:30
------- converged at time : 0.41                       23-Feb-2022 13:23:30
    number of iterations   : 20                        23-Feb-2022 13:23:30
    number of reformations : 20                        23-Feb-2022 13:23:30
------- converged at time : 0.45                       23-Feb-2022 13:23:30
    number of iterations   : 18                        23-Feb-2022 13:23:31
    number of reformations : 18                        23-Feb-2022 13:23:31
------- converged at time : 0.49                       23-Feb-2022 13:23:31
    number of iterations   : 8                         23-Feb-2022 13:23:31
    number of reformations : 8                         23-Feb-2022 13:23:31
------- converged at time : 0.5                        23-Feb-2022 13:23:31
    number of iterations   : 17                        23-Feb-2022 13:23:31
    number of reformations : 17                        23-Feb-2022 13:23:31
------- converged at time : 0.54                       23-Feb-2022 13:23:31
    number of iterations   : 17                        23-Feb-2022 13:23:31
    number of reformations : 17                        23-Feb-2022 13:23:31
------- converged at time : 0.58                       23-Feb-2022 13:23:31
    number of iterations   : 19                        23-Feb-2022 13:23:32
    number of reformations : 19                        23-Feb-2022 13:23:32
------- converged at time : 0.62                       23-Feb-2022 13:23:32
    number of iterations   : 18                        23-Feb-2022 13:23:32
    number of reformations : 18                        23-Feb-2022 13:23:32
------- converged at time : 0.66                       23-Feb-2022 13:23:32
    number of iterations   : 18                        23-Feb-2022 13:23:32
    number of reformations : 18                        23-Feb-2022 13:23:32
------- converged at time : 0.7                        23-Feb-2022 13:23:32
    number of iterations   : 19                        23-Feb-2022 13:23:33
    number of reformations : 19                        23-Feb-2022 13:23:33
------- converged at time : 0.74                       23-Feb-2022 13:23:33
    number of iterations   : 11                        23-Feb-2022 13:23:33
    number of reformations : 11                        23-Feb-2022 13:23:33
------- converged at time : 0.75                       23-Feb-2022 13:23:33
    number of iterations   : 18                        23-Feb-2022 13:23:33
    number of reformations : 18                        23-Feb-2022 13:23:33
------- converged at time : 0.79                       23-Feb-2022 13:23:33
    number of iterations   : 17                        23-Feb-2022 13:23:33
    number of reformations : 17                        23-Feb-2022 13:23:33
------- converged at time : 0.83                       23-Feb-2022 13:23:33
    number of iterations   : 16                        23-Feb-2022 13:23:34
    number of reformations : 16                        23-Feb-2022 13:23:34
------- converged at time : 0.87                       23-Feb-2022 13:23:34
    number of iterations   : 15                        23-Feb-2022 13:23:34
    number of reformations : 15                        23-Feb-2022 13:23:34
------- converged at time : 0.91                       23-Feb-2022 13:23:34
    number of iterations   : 20                        23-Feb-2022 13:23:34
    number of reformations : 20                        23-Feb-2022 13:23:34
------- converged at time : 0.95                       23-Feb-2022 13:23:34
    number of iterations   : 18                        23-Feb-2022 13:23:35
    number of reformations : 18                        23-Feb-2022 13:23:35
------- converged at time : 0.99                       23-Feb-2022 13:23:35
    number of iterations   : 8                         23-Feb-2022 13:23:35
    number of reformations : 8                         23-Feb-2022 13:23:35
------- converged at time : 1                          23-Feb-2022 13:23:35
 Elapsed time : 0:00:07                                23-Feb-2022 13:23:35
 N O R M A L   T E R M I N A T I O N
# Done                                                 23-Feb-2022 13:23:35
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

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),1,1);

    %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',1,2); %Add graphics object to animate
    hp.Marker='.';
    hp.MarkerSize=markerSize2;
    hp.FaceColor='interp';
    gpatch(Fb,V,0.5*ones(1,3),'none',0.25); %A static graphics object

    axisGeom(gca,fontSize);
    colormap(cMap); colorbar;
    caxis([0 max(max(sqrt(sum(N_disp_mat(:,:,:).^2,2))))]); caxis manual;
    axis(axisLim(V_DEF)); %Set axis limits statically
    view(140,30);
    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_vol),1,1);

    %Access data
    E_J_mat=dataStruct.data;
    E_J_mat(:,:,1)=1;

Plotting the simulated results using anim8 to visualize and animate deformations

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

    % Create basic view and store graphics handle to initiate animation
    hf=cFigure; %Open figure  /usr/local/MATLAB/R2020a/bin/glnxa64/jcef_helper: symbol lookup error: /lib/x86_64-linux-gnu/libpango-1.0.so.0: undefined symbol: g_ptr_array_copy

    gtitle([febioFebFileNamePart,': Press play to animate']);
    title('$J$ [.]','Interpreter','Latex')
    hp=gpatch(Fb,V_DEF(:,:,end),CV,'k',1,2); %Add graphics object to animate
    hp.Marker='.';
    hp.MarkerSize=markerSize2;
    hp.FaceColor='interp';
    gpatch(Fb,V,0.5*ones(1,3),'none',0.25); %A static graphics object

    axisGeom(gca,fontSize);
    colormap(cMap); colorbar;
    caxis([min(E_J_mat(:)) max(E_J_mat(:))]);
    axis(axisLim(V_DEF)); %Set axis limits statically
    view(140,30);
    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_J_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;
end

GIBBON www.gibboncode.org

Kevin Mattheus Moerman, [email protected]

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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/.