# 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

```

GIBBON www.gibboncode.org

Kevin Mattheus Moerman, [email protected]

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