Isotropic, Hyperelastic-Plastic Mie-Grüneisen Material
Constitutive Law
This MPM material is identical to an HEIsotropic material in that it uses a Mie-Grüneisen equation of state in the elastic regime. The elastic shear terms are handles like the Neohookean shear terms in the HEIsotropic material. A small-strain version of this material is also available in a MGEOSMaterial material; this hyperelastic version is usually the preferable choice for accurate simulations.
Material Properties
The Mie-Grüneisen equation of state properties and the hardening law properties are set with the following options:
| Property | Description | Units | Default |
|---|---|---|---|
| C0 | The bulk wave speed | m/sec | 4004 |
| gamma0 | The γ0 parameter | none | 1.64 |
| S0 | The S0 parameter | none | 1.35 |
| S1 | The S1 parameter | none | 0 |
| S2 | The S2 parameter | none | 0 |
| G | Low-strain shear modulus | MPa | none |
| Hardening | This command selects the hardening law by its name or number. It should be before entering any yielding properties. | none | none |
| (yield) | Enter all plasticity properties required by the selected hardening law. | varies | varies |
| (other) | All other properties are identical to the properties for an isotropic material, except that only shear modulus, G, is used and thermal expansion coefficient, alpha, is ignored. | varies | varies |
History Variables
None