<POROUS_CRITERION> gurson#
Description#
This criterion was proposed by Gurson and is no doubt a widely accepted model. The model was developed to capture the progressive microrupture through void nucleation and growth. Since then it has been modified in various forms for implementation in a variety of fields, ductile rupture of metals being the most applied one. The model defines the criterion as:
\[\frac{3J_2}{\sigma_\star^2} + 2f^\star q_1 {\rm ch} \left( \frac{q_2 I_1}{2\sigma_\star}\right)
-(1+q_1^2f^{\star2})\]
where \(f^\star\), \(q_1\) \(q_2\) are coefficients of the model.
Names for these coefficients are fs, q1 and q2. The coefficients
\(q_1\) and \(q_2\) have units of stress.
Syntax#
*porous_criterion gurson
\(~\,\) coefficients
\(~\,\) …
prefix |
size |
description |
default |
|---|---|---|---|
|
T-2 |
total strain |
yes |
|
T-2 |
Cauchy stress |
yes |
Example#
A simple example from a test case is given below
*porous_criterion gurson
q1 1.5
q2 1.0
fs = ft