Deformation Plasticity

The deformation theory Ramberg-Osgood plasticity model is primarily intended for use in developing fully plastic solutions for fracture mechanics applications in ductile metals.

Note: This model cannot appear with any other mechanical response material models because it completely describes the mechanical response of the material.

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Deformation Plasticity

The deformation plasticity model combines Hooke's law for the linear elastic response and the von Mises stress potential and associated flow law for the nonlinear term

E ε = ( 1 + ν ) ⁢ S ⁢ − ( 1 − 2 ν ) p I ⁢ +   3 2 α ( q σ 0 ) n − 1 S
where ε is the strain tensor, σ is the stress tensor, p = − 1 3 t r a c e ( σ ) is the pressure stress, q = 3 2 S : S is the von Mises stress, S = σ + p I is the deviatoric stress, E is Young's modulus, and ν is the Poisson's ratio. The linear part of the behavior can be compressible or incompressible, depending on the value of the Poisson's ratio. However, the nonlinear part of the behavior is incompressible because the flow is normal to the von Mises stress potential.

Input Data Description
Young's Modulus Young's Modulus, E .
Poisson's Ratio Poisson's ratio, ν .
Yield Stress Yield stress, σ 0 .
Hardening Exponent Exponent, n
Yield Offset Yield offset, α .
Use temperature-dependent data Specifies material parameters that depend on temperature. A Temperature field appears in the data table. For more information, see Specifying Material Data as a Function of Temperature and Independent Field Variables.