ExpMises1D

Exponential Isotropic Hardening Model

The kinematic hardening is not defined in this model.

Theory

The isotropic hardening backbone function is defined as

$$\sigma ={\sigma }_y+a-a{e}^{-b{\epsilon }_p}+cE{\epsilon }_p,$$

where $a$, $b$ and $c$ are three constants that control the shape of the backbone. The stiffness at the beginning of yielding is ${\sigma }^{\prime }{|}_{{\epsilon }_p=0}=ab+cE$.

Syntax

material ExpMises1D (1) (2) (3) (4) (5) (6) [7]
# (1) int, unique tag
# (2) double, elastic modulus
# (3) double, yield stress
# (4) double, a
# (5) double, b
# (6) double, c
# [7] double, density, default: 0