# prin2effective

Below is a demonstration of the features of the prin2effective function

## Contents

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

## Syntax

[D_eff]=prin2effective(D1,D2,D3,typeFlag); [D_eff]=prin2effective(D,typeFlag);

## Description

This function computes the effective/Von Mises stress or strain based on the input principal components. If typeFlag='stress' then the von Mises stress is computer. If typeflag='strain' the effective strain is computed.

## Example 1: Computing von Mises stress from a triplet of principal stresses

```% A zero Von Mises stress state
S_prin=[2 2 2];
S_vm=prin2effective(S_prin,'stress')

% A unit Von Mises stress state
S_prin=[1 2 1];
S_vm=prin2effective(S_prin,'stress')

% A sqrt(3) Von Mises stress state
S_prin=[1 2 3];
S_vm=prin2effective(S_prin,'stress')
```
```S_vm =

0

S_vm =

1

S_vm =

1.7321

```

## Example 2: Computing effective strain from a triplet of principal strains

```% A zero effective strain state
E_prin=[0.5 0.5 0.5];
E_effective=prin2effective(E_prin,'strain')

% A unit effective strain state
E_prin=[0.5 2 2];
E_effective=prin2effective(E_prin,'strain')

% A 1/3 effective strain state
E_prin=[-0.25 0.25 0.25];
E_effective=prin2effective(E_prin,'strain')
```
```E_effective =

0

E_effective =

1

E_effective =

0.3333

```

GIBBON www.gibboncode.org

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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