Below is a demonstration of the features of the fourthOrderCell function


clear; close all; clc;




Converts a 3x3x3x3 4th order tensor into a cell 3x3 cell array featuring 3x3 matrix entries.


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 =

  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


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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