uncoupled Holmes-Mow¶
Module: solid
Category: material
Type string: "uncoupled Holmes-Mow"
Parameters¶
| Name | Description | Default | Units |
|---|---|---|---|
density |
density | 1 | [M/L^3] |
k |
bulk modulus | 0 | [P] |
pressure_model |
pressure_model | 0 | [] |
mu |
shear modulus | -6.27744e+66 | [] |
beta |
power exponent | -6.27744e+66 | [] |
Description¶
The material type for the uncoupled Holmes-Mow material is uncoupled Holmes-Mow.
This material model uncouples deviatoric and volumetric behaviors,
\[
\Psi_{r}=\tilde{\Psi}_{r}\left(\tilde{\mathbf{C}}\right)+U\left(J\right)
\]
The deviatoric strain-energy function is given by
\[
\tilde{\Psi}_{r}=\frac{1}{2}\frac{\mu}{\beta}\left(e^{\tilde{Q}}-1\right)
\]
where \(\mu\) is the shear modulus and
\[
\tilde{Q}=\beta\left(\tilde{I}_{1}-3\right)
\]
where \(\beta\) is the exponential stiffening coefficient.
Example:
<material id="1" name="Material1" type="uncoupled Holmes-Mow">
<density>1</density>
<mu>0.5</mu>
<beta>2</beta>
<k>5000</k>
</material>