Two-layer viscoplasticity

This problem contains basic test cases for one or more Abaqus elements and features.

This page discusses:

ProductsAbaqus/Standard

Elements tested

C3D8R

CPS4R

SAX1

Problem description

Material:

Elasticity

Young's modulus, E=20.0E6

Poisson's ratio, ν=0.3

Plasticity 1

Mises perfect plasticity with yield stress = 200.0

Plasticity 2

Mises plasticity with linear kinematic hardening

Hardening:

Yield stressPlastic strain
200. 0.0000
220. 0.0009
Plasticity 3

Hill perfect plasticity with reference yield stress = 200.0

Anisotropic yield ratios: 1.0, 1.0, 1.0, 1.0, 1.0, 1.0

Because of the choice of the anisotropic yield ratios, the material represented by plasticity 3 is identical to the material represented by plasticity 1.

Viscous 1

LAW=TIME

  • A=1.0E−6

  • n=1.0

  • m=0.0

  • f=0.25

Viscous 2

LAW=STRAIN

  • A=1.0E−6

  • n=1.0

  • m=0.0

  • f=0.25

Viscous 3

LAW=TIME

  • A=1.0E−6

  • n=1.0

  • m=0.0

  • f=0.25

Anisotropic viscosity ratios: 1.0, 1.0, 1.0, 1.0, 1.0, 1.0

Because of the choice of the anisotropic viscosity ratios, the material represented by viscous 3 is identical to the material represented by viscous 1.

(The units are not important.)

Results and discussion

The results agree well with exact analytical or approximate solutions.

Input files

mtvtmt3rre.inp

Plasticity 1 and Viscous 1; uniaxial tension followed by relaxation; strain controlled; tests temperature dependence of viscous data; tests linear perturbation; C3D8R elements.

mtvtmt2rre.inp

Plasticity 1 and Viscous 1; uniaxial tension followed by relaxation; strain controlled; CPS4R elements.

mtvtmo2rre.inp

Plasticity 1 and Viscous 1; uniaxial tension followed by relaxation; strain controlled; SAX1 elements.

mtvtmo2rre_po.inp

POST OUTPUT analysis.

mtvtmt3pt3.inp

Plasticity 1 and Viscous 1; uniaxial tension; long-term static solution; C3D8R elements.

mtvsto3mcy.inp

Plasticity 2 and Viscous 2; uniaxial cyclic loading; strain controlled; C3D8R elements.

mtvvpo3mcy.inp

Plasticity 3 and Viscous 3; Uniaxial cyclic loading; strain controlled; C3D8R elements.