POROUS_CRITERION#

Description#

This behavior object is used to enter the citerion for a porous plastic material. The description of these models will use the following notation:

CODE

DESCRIPTION

\(\ten \sigma\)

stress tensor

\(\ten s\)

deviatoric stress tensor

\(J_2\)

the second invariant of deviatoric stress \(\frac{1}{2}\ten s:\ten s\)

\(I_1\)

first invariant of stress \(\trace{\ten\sigma}\)

\(\sigma_\star\)

current flow stress

Syntax#

The syntax for a porous criterion requires that a type be given, followed by whatever coefficients are allowed for the particular model. As in all of Z-mat, these coefficients are entirely context sensitive.

*porous_criterion type \(~\,~\,\) coefs

The available list of porous plastic models are summarized below.

CODE

DESCRIPTION

gurson

model to capture progressive microrupture

elliptic_aniso

generalization of the elliptic criterion for general anisotropy.

elliptic

criterion for densification of material

elliptic_fiber

elliptic criterion for compaction of fibers in a powder matrix.

fkm

NIOT

modified_rousselier

NIOT

rousselier

thermodynamic criterion through free energy

cam_clay

criterion to study the porosity of clay

zhang_niemi

NIOT

The following pages discuss these models in details.