Isotropic, Elastic-Plastic Mie-Grüneisen Material

From OSUPDOCS
Jump to navigation Jump to search

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

Examples

Retrieved from "http://osupdocs.forestry.oregonstate.edu/index.php?title=Isotropic,_Elastic-Plastic_Mie-Grüneisen_Material&oldid=3021"