prin2effective

Below is a demonstration of the features of the prin2effective function

Syntax
Description
Examples
Example 1: Computing von Mises stress from a triplet of principal stresses
Example 2: Computing effective strain from a triplet of principal strains

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.

Examples

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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License: https://github.com/gibbonCode/GIBBON/blob/master/LICENSE

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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