Difference between revisions of "Isotropic, Elastic-Plastic Mie-Grüneisen Material"
Jump to navigation
Jump to search
| Line 1: | Line 1: | ||
== Constitutive Law == | == Constitutive Law == | ||
This [[Material Models|MPM material]] uses a Mie- | This [[Material Models|MPM material]] uses a Mie-Grüneisen equation of state in the in the elastic regime and can plastically deform according to any selected [[Hardening Laws|hardening law]]. | ||
=== Mie-Grüneisen Equation of State === | |||
The Mie-Grüneisen equation of state defines the pressure only and the Kirchoff pressure is | |||
| |||
<math>{p\over \rho_0} = {C_0^2 \eta \left(1 - {1\over 2}\gamma_0 \eta\right) \over (1 - S_1\eta - S_2\eta^2 - S_3 \eta^3)^2} + \gamma_0 U</math> | |||
== Material Properties == | == Material Properties == | ||
Revision as of 12:44, 31 December 2013
Constitutive Law
This MPM material uses a Mie-Grüneisen equation of state in the in the elastic regime and can plastically deform according to any selected hardening law.
Mie-Grüneisen Equation of State
The Mie-Grüneisen equation of state defines the pressure only and the Kirchoff pressure is
[math]\displaystyle{ {p\over \rho_0} = {C_0^2 \eta \left(1 - {1\over 2}\gamma_0 \eta\right) \over (1 - S_1\eta - S_2\eta^2 - S_3 \eta^3)^2} + \gamma_0 U }[/math]
Material Properties
| Property | Description | Units | Default |
|---|---|---|---|
| E | Tensile modulus | MPa | none |
History Variables
None