pillowHex

Below is a demonstration of the features of the pillowHex function

Syntax
Description
Examples
Example: Pillowing a hexahedral element
Example: Pillowing a set of hexahedral elements

Syntax

[Ep,Vp,Cp]=pillowHex(E,V,C,shrinkFactor);

Description

clear; close all; clc;

Plot settings

fontSize=25;
faceAlpha1=0.25;
edgeWidth=2;
markerSize=35;
cMap=gjet(6);

Examples

Example: Pillowing a hexahedral element

Creating an example hexahedral element

V=[0 0 0; 1 0 0; 1 1 0; 0 1 0; 0 0 1; 1 0 1; 1 1 1; 0 1 1;]; %nodes
E=1:8; %Element

shrinkFactor=0.5;
[Ep,Vp]=pillowHex(E,V,[],shrinkFactor);

Visualize results

[F]=element2patch(E);  %Patch data for plotting
[Fp]=element2patch(Ep);  %Patch data for plotting

cFigure;

subplot(1,2,1); hold on;
title('Original hex element','FontSize',fontSize);
gpatch(F,V,'gw','g',0.5,edgeWidth);
% patchNormPlot(F,V,0.25);
plotV(V,'k.','MarkerSize',markerSize);
colormap(cMap);
axisGeom;
axis off;
camlight headlight;

subplot(1,2,2); hold on;
title('Pillowed hex element','FontSize',fontSize);
gpatch(Fp,Vp,'bw','b',0.5,edgeWidth);
% patchNormPlot(Fp,Vp,0.25);
plotV(Vp,'k.','MarkerSize',markerSize);
colormap(cMap);
axisGeom;
axis off;
camlight headlight;

drawnow;

Example: Pillowing a set of hexahedral elements

Creating an example hexahedral element set

boxDim=[5 6 7];
boxEl=[4 5 6];

[meshStruct]=hexMeshBox(boxDim,boxEl);

E=meshStruct.E;
V=meshStruct.V;
C=(1:1:size(E,1))';

shrinkFactor=0.5;
[Ep,Vp,Cp]=pillowHex(E,V,C,shrinkFactor);

Visualize results

[F,CF]=element2patch(E,C);  %Patch data for plotting
[Fp,CFp]=element2patch(Ep,Cp);  %Patch data for plotting

cFigure;

subplot(1,2,1); hold on;
title('Original hex element','FontSize',fontSize);
gpatch(F,V,CF,'k',0.5);
% patchNormPlot(F,V,0.25);
plotV(V,'k.','MarkerSize',markerSize);
colormap(cMap);
axisGeom;
axis off;
camlight headlight;

subplot(1,2,2); hold on;
title('Pillowed hex element','FontSize',fontSize);
gpatch(Fp,Vp,CFp,'k',0.5);
% patchNormPlot(Fp,Vp,0.25);
plotV(Vp,'k.','MarkerSize',markerSize);
colormap(cMap);
axisGeom;
axis off;
camlight headlight;

drawnow;

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.

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.