ExpCC

Exponential Hardening Cam-Clay Model

This hardening law is identical to the one documented in ABAQUS manual (4.4.3).

Hardening

The hardening function is defined as

$$a=a_0\exp \left((1+e_0){\displaystyle \frac{1-\alpha }{\lambda -\kappa \alpha }}\right),$$

where $e_0$ is the initial void ratio, $\lambda$ and $\kappa$ are material constants.

If experimental data is available, $a_0$ can be determined as

$$a_0={\displaystyle \frac{1}{2}}\exp \left({\displaystyle \frac{e_1-e_0-\kappa \ln p_0}{\lambda -\kappa }}\right)$$

where $p_0$ is the initial value of the equivalent pressure stress and $e_1$ is the intercept of the virgin consolidation line with the void ratio axis in a plot of void ratio versus equivalent pressure stress.

Syntax

material ExpCC (1) (2) (3) (4) (5) (6) (7) (8) (9) (10) [11]
# (1) int, unique material tag
# (2) double, elastic modulus
# (3) double, poissons ratio
# (4) double, beta, controls compression side shape
# (5) double, m, slope of CSL
# (6) double, p_t, initial tension strength
# (7) double, a_0, initial a_0
# (8) double, e_0, initial void ratio
# (9) double, lambda
# (10) double, kappa
# [11] double, density, default: 0.0

Usage