memory

Description

This behavior is a ZebFront implementation of a strain range memory isotropic hardening model described by Lemaitre and Chaboche []. The model has 2 non-linear kinematic hardening components (coefficients C1, D1, C2, and D2), and a Norton type flow law (coefficients K and n).

(291)\[\begin{split}\begin{aligned} Q &= Q_0 + (Q_{sat}-Q_0) \exp(-2 \mu q) \\ R &= R_0 + b Q r \end{aligned}\end{split}\]

(292)\[\begin{split}\begin{aligned} \ten n^* &= \dfrac{(\ten \varepsilon_{vi} - \ten z)}{J(\ten \varepsilon_{vi} - \ten z)} \\ \eta &= \ten n:\ten n^* \\ \dot{q} &= \eta \dot{\lambda} \end{aligned}\end{split}\]

(293)\[\dot{r} = \dot{\lambda}\left[1-(R-R_0)/Q\right]\]

(294)\[\dot{\ten z} = 2 (\ten n^*:\ten \varepsilon_{vi})\ten n^*\]

Syntax

***behavior memory \(~\,\) **elasticity <ELASTICITY> \(~\,\) **model_coef \(~\,~\,~\,\) coefs

Example

***behavior memory
 **elasticity isotropic
       young 260000.
       poisson 0.3
 **model_coef
       n     7.0
       K     100.
       C1    30000.0
       D1    80.
       C2    100000.
       D2    1200.
       R0    150.0
       b     150.
       Q0    400.
       Qsat -350.
       mu    100.
***return