"Optional title"
mid, $\rho$, $E$, $\nu$, did, tid
cid, $\xi$, $R_{00}$, $R_{45}$, $R_{90}$, $s_0$, $s_1$
Parameter definition
Variable | Description |
---|---|
mid | Unique material identification number |
$\rho$ | Density |
$E$ | Young's modulus |
$\nu$ | Poisson's ratio |
did | Damage model ID |
tid | Thermal property command ID |
cid | ID of a CURVE or FUNCTION defining effective plastic flow stress versus plastic strain (equivalent measures) |
$\xi$ | Kinematical hardening parameter ranging from 0 to 1 |
$R_{00}$ | Lankford coefficient |
$R_{45}$ | Lankford coefficient |
$R_{90}$ | Lankford coefficient |
$s_0$ | Damage softening parameter (threshold damage level) |
$s_1$ | Damage softening parameter |
Description
This is a plasticity model where kinematical hardening and Lankford parameters can be defined as constants or as functions of the effective plastic strain. A J2 (von Mises) yield criterion is combined with a non-assiciated flow rule. The non-associated flow rule is defined to satisfy the given Lankford parameters.
The effective plastic flow stress is defined as:
$\displaystyle{ \sigma_y = f(\varepsilon_{eff}^p) \cdot g(D)}$
where $f(\varepsilon_{eff}^p)$ is a user defined CURVE or FUNCTION and $g(D)$ is an optional damage softening. $g(D)$, where $D$ is the damage level, is defined as:
$g(D) = \left\{ \begin{array}{cc} 1 & D \leq s_0 \\ \displaystyle{ 1 + \frac{D-s_0}{1-s_0} \cdot (s_1-1)} & D \gt s_0 \end{array} \right. $
That is, $g(D)$ drops linearly from $1$ at $D=s_0$ to $s_1$ at $D=1$ (full damage).
Initial material orientation is defined using either INITIAL_MATERIAL_DIRECTION, INITIAL_MATERIAL_DIRECTION_VECTOR or INITIAL_MATERIAL_DIRECTION_WRAP.