# kelvinUnMap

Below is a demonstration of the features of the `kelvinUnMap` function

## Contents

```
clear; close all; clc;
```

## Syntax

`[C]=kelvinUnMap(cKelvin);`

## Description

This function transforms the Kelvin mapped tensor cKelvin to the normal tensorial representation C.

## Examples

## Example 1: Mapping a Kelvin mapped tensor to the normal tensorial representation

%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 %Lame parameters for Hooke's law mu=2; %The shear modulus lambda=3; %The lambda lame parameter %Construct 4th order stiffness tensor C=lambda.*II1+2.*mu.*II3;

Derive Kelvin mapped tensor

Ck=kelvinMap(C) Cr=kelvinUnMap(Ck)

Ck = 7.0000 3.0000 3.0000 0 0 0 3.0000 7.0000 3.0000 0 0 0 3.0000 3.0000 7.0000 0 0 0 0 0 0 4.0000 0 0 0 0 0 0 4.0000 0 0 0 0 0 0 4.0000 Cr(:,:,1,1) = 7 0 0 0 3 0 0 0 3 Cr(:,:,2,1) = 0 2 0 2 0 0 0 0 0 Cr(:,:,3,1) = 0 0 2 0 0 0 2 0 0 Cr(:,:,1,2) = 0 2 0 2 0 0 0 0 0 Cr(:,:,2,2) = 3 0 0 0 7 0 0 0 3 Cr(:,:,3,2) = 0 0 0 0 0 2 0 2 0 Cr(:,:,1,3) = 0 0 2 0 0 0 2 0 0 Cr(:,:,2,3) = 0 0 0 0 0 2 0 2 0 Cr(:,:,3,3) = 3 0 0 0 3 0 0 0 7

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*Kevin Mattheus Moerman*, [email protected]

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