fourthOrderCell
Below is a demonstration of the features of the fourthOrderCell function
Contents
clear; close all; clc;
Syntax
[CM]=fourthOrderCell(C);
Description
Converts a 3x3x3x3 4th order tensor into a cell 3x3 cell array featuring 3x3 matrix entries.
Examples
Creating the stiffness tensor for Hooke's law of linear elasticity
%Constructing 4th order base tensor set I=eye(3,3); %The 2nd order identity tensor II1=dyadicProduct(I,I,1); %4th order base tensor 1 II3=dyadicProduct(I,I,3); %4th order base tensor 3 %Parameters for Hooke's law mu=1; %The shear modulus lambda=5; %The lambda lame parameter C=lambda.*II1+2.*mu.*II3; %Construct 4th order stiffness tensor
[CM]=fourthOrderCell(C)
CM{1,1}
CM =
3×3 cell array
{3×3 double} {3×3 double} {3×3 double}
{3×3 double} {3×3 double} {3×3 double}
{3×3 double} {3×3 double} {3×3 double}
ans =
7 0 0
0 5 0
0 0 5
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Kevin Mattheus Moerman, [email protected]
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GIBBON: The Geometry and Image-based Bioengineering add-On. A toolbox for image segmentation, image-based modeling, meshing, and finite element analysis.
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