Difference between revisions of "Isotropic, Hyperelastic-Plastic Mie-Grüneisen Material"
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== History Variables == | == History Variables == | ||
The selected [[Hardening Laws|hardening law]] will create one or more history variables. This material uses the next history variable (after the hardening laws history variables) to store the volumetric change (''i.e.'', ''J'' or the determinant of the deformation gradient). The total strain is stored in the elastic strain variable, while the plastic strain stores the left Cauchy Green tensor. | |||
== Examples == | == Examples == | ||
Revision as of 13:54, 31 December 2013
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) | Properties common to all materials | varies | varies |
History Variables
The selected hardening law will create one or more history variables. This material uses the next history variable (after the hardening laws history variables) to store the volumetric change (i.e., J or the determinant of the deformation gradient). The total strain is stored in the elastic strain variable, while the plastic strain stores the left Cauchy Green tensor.