Transferring results with plasticity

Problem description

The verification tests in this section consist of one-element models that are subjected to monotonically increasing tensile loads in a sequential import analysis. The sequence of tests involves transferring results from Abaqus/Explicit to Abaqus/Standard and then back to Abaqus/Explicit. An elastic-plastic material with Mises yield criterion is used in the analyses. Two sets of problems are tested: one with isotropic hardening and the other with combined isotropic/kinematic hardening.

The following material properties are used (the units are not important):

Elasticity

Young's modulus, E = 200.0 × 10³

Poisson's ratio, $ν$ = 0.3

Plasticity for isotropic hardening case


Yield stress	Plastic strain
200.	0.0000
220.	0.001
220.	0.003

Plasticity for combined isotropic/kinematic hardening case

Initial yield stress: $σ_{0}$ = 200.0

Isotropic hardening parameter, $Q_{\infty}$ = 2000.0

Isotropic hardening parameter, b = 0.25

Kinematic hardening parameter, C = 2.222 × 10⁴

Kinematic hardening parameter, $γ$ = 34.65

Plasticity for combined isotropic/kinematic hardening with multiple backstresses case

Initial yield stress: $σ_{0}$ = 200.0

Isotropic hardening parameter, $Q_{\infty}$ = 2000.0

Isotropic hardening parameter, b = 0.25

Kinematic hardening parameter, $C_{1}$ = 1.111 × 10⁴

Kinematic hardening parameter, $γ_{1}$ = 34.65

Kinematic hardening parameter, $C_{2}$ = 5.555 × 10³

Kinematic hardening parameter, $γ_{2}$ = 34.65

Kinematic hardening parameter, $C_{3}$ = 5.555 × 10³

Kinematic hardening parameter, $γ_{3}$ = 34.65

A verification test is also conducted for adiabatic Mises plasticity with isotropic hardening. C3D8R elements are used in the analysis. The following material properties are used (the units are not important):

Elasticity

Young's modulus, E = 30.0 × 10⁶

Poisson's ratio, $ν$ = 0.3

Plasticity (isotropic hardening)


Yield stress	Plastic strain	Temperature
30.0E3	0.000	0.0
50.0E3	0.200	0.0
50.0E3	2.000	0.0
3.0E3	0.000	100.0
5.0E3	0.200	100.0
5.0E3	2.000	100.0

Other properties


Density, $μ$ = 1000.0
Specific heat, c = 0.4
Inelastic heat fraction, 0.5

Verification tests are also included for some first-order reduced-integration elements with enhanced hourglass control.

Input files

B21 element tests:Isotropic hardening:Combined hardening:Combined hardening (multiple backstresses):

xs_x_b21_t_pl.inp: First Abaqus/Explicit analysis.
xs_s_b21_t_pl.inp: Abaqus/Standard analysis.
sx_x_b21_t_pl.inp: Second Abaqus/Explicit analysis.
xs_x_b21_t_plch.inp: First Abaqus/Explicit analysis.
xs_s_b21_t_plch.inp: Abaqus/Standard analysis.
sx_x_b21_t_plch.inp: Second Abaqus/Explicit analysis.
xs_x_b21_t_plchmb.inp: First Abaqus/Explicit analysis.
xs_s_b21_t_plchmb.inp: Abaqus/Standard analysis.
sx_x_b21_t_plchmb.inp: Second Abaqus/Explicit analysis.

B22 element tests:Isotropic hardening:Combined hardening:Combined hardening (multiple backstresses):

xs_x_b22_t_pl.inp: First Abaqus/Explicit analysis.
xs_s_b22_t_pl.inp: Abaqus/Standard analysis.
sx_x_b22_t_pl.inp: Second Abaqus/Explicit analysis.
xs_x_b22_t_plch.inp: First Abaqus/Explicit analysis.
xs_s_b22_t_plch.inp: Abaqus/Standard analysis.
sx_x_b22_t_plch.inp: Second Abaqus/Explicit analysis.
xs_x_b22_t_plchmb.inp: First Abaqus/Explicit analysis.
xs_s_b22_t_plchmb.inp: Abaqus/Standard analysis.
sx_x_b22_t_plchmb.inp: Second Abaqus/Explicit analysis.

B31 element tests:Isotropic hardening:

xs_x_b31_t_pl.inp: First Abaqus/Explicit analysis.
xs_s_b31_t_pl.inp: Abaqus/Standard analysis.
sx_x_b31_t_pl.inp: Second Abaqus/Explicit analysis.

Combined hardening not available for B31 elements in Abaqus/Standard.B32 element tests:Isotropic hardening:

xs_x_b32_t_pl.inp: First Abaqus/Explicit analysis.
xs_s_b32_t_pl.inp: Abaqus/Standard analysis.
sx_x_b32_t_pl.inp: Second Abaqus/Explicit analysis.

Combined hardening not available for B32 elements in Abaqus/Standard.C3D4 element tests:Isotropic hardening:Combined hardening:Combined hardening (multiple backstresses):

xs_x_c3d4_pl.inp: First Abaqus/Explicit analysis.
xs_s_c3d4_pl.inp: Abaqus/Standard analysis.
sx_x_c3d4_pl.inp: Second Abaqus/Explicit analysis.
xs_x_c3d4_plch.inp: First Abaqus/Explicit analysis.
xs_s_c3d4_plch.inp: Abaqus/Standard analysis.
sx_x_c3d4_plch.inp: Second Abaqus/Explicit analysis.
xs_x_c3d4_plchmb.inp: First Abaqus/Explicit analysis.
xs_s_c3d4_plchmb.inp: Abaqus/Standard analysis.
sx_x_c3d4_plchmb.inp: Second Abaqus/Explicit analysis.

C3D6 element tests:Isotropic hardening:Combined hardening:Combined hardening (multiple backstresses):

xs_x_c3d6_pl.inp: First Abaqus/Explicit analysis.
xs_s_c3d6_pl.inp: Abaqus/Standard analysis.
sx_x_c3d6_pl.inp: Second Abaqus/Explicit analysis.
xs_x_c3d6_plch.inp: First Abaqus/Explicit analysis.
xs_s_c3d6_plch.inp: Abaqus/Standard analysis.
sx_x_c3d6_plch.inp: Second Abaqus/Explicit analysis.
xs_x_c3d6_plchmb.inp: First Abaqus/Explicit analysis.
xs_s_c3d6_plchmb.inp: Abaqus/Standard analysis.
sx_x_c3d6_plchmb.inp: Second Abaqus/Explicit analysis.

C3D8R element tests:Isotropic hardening:Combined hardening:Combined hardening (multiple backstresses):

xs_x_c3d8r_pl.inp: First Abaqus/Explicit analysis.
xs_s_c3d8r_pl.inp: Abaqus/Standard analysis.
sx_x_c3d8r_pl.inp: Second Abaqus/Explicit analysis.
xs_x_c3d8r_plch.inp: First Abaqus/Explicit analysis.
xs_s_c3d8r_plch.inp: Abaqus/Standard analysis.
sx_x_c3d8r_plch.inp: Second Abaqus/Explicit analysis.
xs_x_c3d8r_plchmb.inp: First Abaqus/Explicit analysis.
xs_s_c3d8r_plchmb.inp: Abaqus/Standard analysis.
sx_x_c3d8r_plchmb.inp: Second Abaqus/Explicit analysis.

CAX3 element tests:Isotropic hardening:Combined hardening:Combined hardening (multiple backstresses):

xs_x_cax3_pl.inp: First Abaqus/Explicit analysis.
xs_s_cax3_pl.inp: Abaqus/Standard analysis.
sx_x_cax3_pl.inp: Second Abaqus/Explicit analysis.
xs_x_cax3_plch.inp: First Abaqus/Explicit analysis.
xs_s_cax3_plch.inp: Abaqus/Standard analysis.
sx_x_cax3_plch.inp: Second Abaqus/Explicit analysis.
xs_x_cax3_plchmb.inp: First Abaqus/Explicit analysis.
xs_s_cax3_plchmb.inp: Abaqus/Standard analysis.
sx_x_cax3_plchmb.inp: Second Abaqus/Explicit analysis.

CAX4R element tests:Isotropic hardening:Combined hardening:Combined hardening (multiple backstresses):

xs_x_cax4r_pl.inp: First Abaqus/Explicit analysis.
xs_s_cax4r_pl.inp: Abaqus/Standard analysis.
sx_x_cax4r_pl.inp: Second Abaqus/Explicit analysis.
xs_x_cax4r_plch.inp: First Abaqus/Explicit analysis.
xs_s_cax4r_plch.inp: Abaqus/Standard analysis.
sx_x_cax4r_plch.inp: Second Abaqus/Explicit analysis.
xs_x_cax4r_plchmb.inp: First Abaqus/Explicit analysis.
xs_s_cax4r_plchmb.inp: Abaqus/Standard analysis.
sx_x_cax4r_plchmb.inp: Second Abaqus/Explicit analysis.

CPE3 element tests:Isotropic hardening:Combined hardening:Combined hardening (multiple backstresses):

xs_x_cpe3_pl.inp: First Abaqus/Explicit analysis.
xs_s_cpe3_pl.inp: Abaqus/Standard analysis.
sx_x_cpe3_pl.inp: Second Abaqus/Explicit analysis.
xs_x_cpe3_plch.inp: First Abaqus/Explicit analysis.
xs_s_cpe3_plch.inp: Abaqus/Standard analysis.
sx_x_cpe3_plch.inp: Second Abaqus/Explicit analysis.
xs_x_cpe3_plchmb.inp: First Abaqus/Explicit analysis.
xs_s_cpe3_plchmb.inp: Abaqus/Standard analysis.
sx_x_cpe3_plchmb.inp: Second Abaqus/Explicit analysis.

CPE4R element tests:Isotropic hardening:Combined hardening:Combined hardening (multiple backstresses):

xs_x_cpe4r_pl.inp: First Abaqus/Explicit analysis.
xs_x_cpe4r_pl_enhg.inp: First Abaqus/Explicit analysis with enhanced hourglass control.
xs_s_cpe4r_pl.inp: Abaqus/Standard analysis.
xs_s_cpe4r_pl_enhg.inp: Abaqus/Standard analysis with enhanced hourglass control.
sx_x_cpe4r_pl.inp: Second Abaqus/Explicit analysis.
sx_x_cpe4r_pl_enhg.inp: Second Abaqus/Explicit analysis with enhanced hourglass control.
xs_x_cpe4r_plch.inp: First Abaqus/Explicit analysis.
xs_s_cpe4r_plch.inp: Abaqus/Standard analysis.
sx_x_cpe4r_plch.inp: Second Abaqus/Explicit analysis.
xs_x_cpe4r_plchmb.inp: First Abaqus/Explicit analysis.
xs_s_cpe4r_plchmb.inp: Abaqus/Standard analysis.
sx_x_cpe4r_plchmb.inp: Second Abaqus/Explicit analysis.

CPS3 element tests:Isotropic hardening:Combined hardening:Combined hardening (multiple backstresses):

xs_x_cps3_pl.inp: First Abaqus/Explicit analysis.
xs_s_cps3_pl.inp: Abaqus/Standard analysis.
sx_x_cps3_pl.inp: Second Abaqus/Explicit analysis.
xs_x_cps3_plch.inp: First Abaqus/Explicit analysis.
xs_s_cps3_plch.inp: Abaqus/Standard analysis.
sx_x_cps3_plch.inp: Second Abaqus/Explicit analysis.
xs_x_cps3_plchmb.inp: First Abaqus/Explicit analysis.
xs_s_cps3_plchmb.inp: Abaqus/Standard analysis.
sx_x_cps3_plchmb.inp: Second Abaqus/Explicit analysis.

CPS4R element tests:Isotropic hardening:Combined hardening:Combined hardening (multiple backstresses):

xs_x_cps4r_pl.inp: First Abaqus/Explicit analysis.
xs_s_cps4r_pl.inp: Abaqus/Standard analysis.
sx_x_cps4r_pl.inp: Second Abaqus/Explicit analysis.
xs_x_cps4r_plch.inp: First Abaqus/Explicit analysis.
xs_s_cps4r_plch.inp: Abaqus/Standard analysis.
sx_x_cps4r_plch.inp: Second Abaqus/Explicit analysis.
xs_x_cps4r_plchmb.inp: First Abaqus/Explicit analysis.
xs_s_cps4r_plchmb.inp: Abaqus/Standard analysis.
sx_x_cps4r_plchmb.inp: Second Abaqus/Explicit analysis.

C3D10M element tests:Isotropic hardening:Combined hardening:Combined hardening (multiple backstresses):

xs_x_c3d10m_pl.inp: First Abaqus/Explicit analysis.
xs_s_c3d10m_pl.inp: Abaqus/Standard analysis.
sx_x_c3d10m_pl.inp: Second Abaqus/Explicit analysis.
xs_x_c3d10m_plch.inp: First Abaqus/Explicit analysis.
xs_s_c3d10m_plch.inp: Abaqus/Standard analysis.
sx_x_c3d10m_plch.inp: Second Abaqus/Explicit analysis.
xs_x_c3d10m_plchmb.inp: First Abaqus/Explicit analysis.
xs_s_c3d10m_plchmb.inp: Abaqus/Standard analysis.
sx_x_c3d10m_plchmb.inp: Second Abaqus/Explicit analysis.

CAX6M element tests:Isotropic hardening:Combined hardening:Combined hardening (multiple backstresses):

xs_x_cax6m_pl.inp: First Abaqus/Explicit analysis.
xs_s_cax6m_pl.inp: Abaqus/Standard analysis.
sx_x_cax6m_pl.inp: Second Abaqus/Explicit analysis.
xs_x_cax6m_plch.inp: First Abaqus/Explicit analysis.
xs_s_cax6m_plch.inp: Abaqus/Standard analysis.
sx_x_cax6m_plch.inp: Second Abaqus/Explicit analysis.
xs_x_cax6m_plchmb.inp: First Abaqus/Explicit analysis.
xs_s_cax6m_plchmb.inp: Abaqus/Standard analysis.
sx_x_cax6m_plchmb.inp: Second Abaqus/Explicit analysis.

CPE6M element tests:Isotropic hardening:Combined hardening:Combined hardening (multiple backstresses):

xs_x_cpe6m_pl.inp: First Abaqus/Explicit analysis.
xs_s_cpe6m_pl.inp: Abaqus/Standard analysis.
sx_x_cpe6m_pl.inp: Second Abaqus/Explicit analysis.
xs_x_cpe6m_plch.inp: First Abaqus/Explicit analysis.
xs_s_cpe6m_plch.inp: Abaqus/Standard analysis.
sx_x_cpe6m_plch.inp: Second Abaqus/Explicit analysis.
xs_x_cpe6m_plchmb.inp: First Abaqus/Explicit analysis.
xs_s_cpe6m_plchmb.inp: Abaqus/Standard analysis.
sx_x_cpe6m_plchmb.inp: Second Abaqus/Explicit analysis.

CPS6M element tests:Isotropic hardening:Combined hardening:Combined hardening (multiple backstresses):

xs_x_cps6m_pl.inp: First Abaqus/Explicit analysis.
xs_s_cps6m_pl.inp: Abaqus/Standard analysis.
sx_x_cps6m_pl.inp: Second Abaqus/Explicit analysis.
xs_x_cps6m_plch.inp: First Abaqus/Explicit analysis.
xs_s_cps6m_plch.inp: Abaqus/Standard analysis.
sx_x_cps6m_plch.inp: Second Abaqus/Explicit analysis.
xs_x_cps6m_plchmb.inp: First Abaqus/Explicit analysis.
xs_s_cps6m_plchmb.inp: Abaqus/Standard analysis.
sx_x_cps6m_plchmb.inp: Second Abaqus/Explicit analysis.

M3D3 element tests:Isotropic hardening:Combined hardening:Combined hardening (multiple backstresses):

xs_x_m3d3_pl.inp: First Abaqus/Explicit analysis.
xs_s_m3d3_pl.inp: Abaqus/Standard analysis.
sx_x_m3d3_pl.inp: Second Abaqus/Explicit analysis.
xs_x_m3d3_plch.inp: First Abaqus/Explicit analysis.
xs_s_m3d3_plch.inp: Abaqus/Standard analysis.
sx_x_m3d3_plch.inp: Second Abaqus/Explicit analysis.
xs_x_m3d3_plchmb.inp: First Abaqus/Explicit analysis.
xs_s_m3d3_plchmb.inp: Abaqus/Standard analysis.
sx_x_m3d3_plchmb.inp: Second Abaqus/Explicit analysis.

M3D4R element tests:Isotropic hardening:Combined hardening:Combined hardening (multiple backstresses):

xs_x_m3d4r_pl.inp: First Abaqus/Explicit analysis.
xs_x_m3d4r_pl_enhg.inp: First Abaqus/Explicit analysis with enhanced hourglass control.
xs_s_m3d4r_pl.inp: Abaqus/Standard analysis.
xs_s_m3d4r_pl_enhg.inp: Abaqus/Standard analysis with enhanced hourglass control.
sx_x_m3d4r_pl.inp: Second Abaqus/Explicit analysis.
sx_x_m3d4r_pl_enhg.inp: Second Abaqus/Explicit analysis with enhanced hourglass control.
xs_x_m3d4r_plch.inp: First Abaqus/Explicit analysis.
xs_s_m3d4r_plch.inp: Abaqus/Standard analysis.
sx_x_m3d4r_plch.inp: Second Abaqus/Explicit analysis.
xs_x_m3d4r_plchmb.inp: First Abaqus/Explicit analysis.
xs_s_m3d4r_plchmb.inp: Abaqus/Standard analysis.
sx_x_m3d4r_plchmb.inp: Second Abaqus/Explicit analysis.

SAX1 element tests:Isotropic hardening:Combinedi hardening:Combinedi hardening (multiple backstresses):

xs_x_sax_pl.inp: First Abaqus/Explicit analysis.
xs_s_sax_pl.inp: Abaqus/Standard analysis.
sx_x_sax_pl.inp: Second Abaqus/Explicit analysis.
xs_x_sax_plch.inp: First Abaqus/Explicit analysis.
xs_s_sax_plch.inp: Abaqus/Standard analysis.
sx_x_sax_plch.inp: Second Abaqus/Explicit analysis.
xs_x_sax_plchmb.inp: First Abaqus/Explicit analysis.
xs_s_sax_plchmb.inp: Abaqus/Standard analysis.
sx_x_sax_plchmb.inp: Second Abaqus/Explicit analysis.

S3R element tests:Isotropic hardening:Combined hardening:Combined hardening (multiple backstresses):

xs_x_s3r_pl.inp: First Abaqus/Explicit analysis.
xs_s_s3r_pl.inp: Abaqus/Standard analysis.
sx_x_s3r_pl.inp: Second Abaqus/Explicit analysis.
xs_x_s3r_plch.inp: First Abaqus/Explicit analysis.
xs_s_s3r_plch.inp: Abaqus/Standard analysis.
sx_x_s3r_plch.inp: Second Abaqus/Explicit analysis.
xs_x_s3r_plchmb.inp: First Abaqus/Explicit analysis.
xs_s_s3r_plchmb.inp: Abaqus/Standard analysis.
sx_x_s3r_plchmb.inp: Second Abaqus/Explicit analysis.

S4R element tests:Isotropic hardening:Combined hardening:Combined hardening (multiple backstresses):

xs_x_s4r_pl.inp: First Abaqus/Explicit analysis.
xs_s_s4r_pl.inp: Abaqus/Standard analysis.
sx_x_s4r_pl.inp: Second Abaqus/Explicit analysis.
xs_x_s4r_plch.inp: First Abaqus/Explicit analysis.
xs_s_s4r_plch.inp: Abaqus/Standard analysis.
sx_x_s4r_plch.inp: Second Abaqus/Explicit analysis.
xs_x_s4r_plchmb.inp: First Abaqus/Explicit analysis.
xs_s_s4r_plchmb.inp: Abaqus/Standard analysis.
sx_x_s4r_plchmb.inp: Second Abaqus/Explicit analysis.

S4 element tests:Combined hardening:Combined hardening (multiple backstresses):

xs_x_s4_plch.inp: First Abaqus/Explicit analysis.
xs_s_s4_plch.inp: Abaqus/Standard analysis.
sx_x_s4_plch.inp: Second Abaqus/Explicit analysis.
xs_x_s4_plchmb.inp: First Abaqus/Explicit analysis.
xs_s_s4_plchmb.inp: Abaqus/Standard analysis.
sx_x_s4_plchmb.inp: Second Abaqus/Explicit analysis.

T2D2 element tests:Isotropic hardening:Combined hardening:Combined hardening (multiple backstresses):

xs_x_t2d2_pl.inp: First Abaqus/Explicit analysis.
xs_s_t2d2_pl.inp: Abaqus/Standard analysis.
sx_x_t2d2_pl.inp: Second Abaqus/Explicit analysis.
xs_x_t2d2_plch.inp: First Abaqus/Explicit analysis.
xs_s_t2d2_plch.inp: Abaqus/Standard analysis.
sx_x_t2d2_plch.inp: Second Abaqus/Explicit analysis.
xs_x_t2d2_plchmb.inp: First Abaqus/Explicit analysis.
xs_s_t2d2_plchmb.inp: Abaqus/Standard analysis.
sx_x_t2d2_plchmb.inp: Second Abaqus/Explicit analysis.

T3D2 element tests:Isotropic hardening:Combined hardening:Combined hardening (multiple backstresses):

xs_x_t3d2_pl.inp: First Abaqus/Explicit analysis.
xs_s_t3d2_pl.inp: Abaqus/Standard analysis.
sx_x_t3d2_pl.inp: Second Abaqus/Explicit analysis.
xs_x_t3d2_plch.inp: First Abaqus/Explicit analysis.
xs_s_t3d2_plch.inp: Abaqus/Standard analysis.
sx_x_t3d2_plch.inp: Second Abaqus/Explicit analysis.
xs_x_t3d2_plchmb.inp: First Abaqus/Explicit analysis.
xs_s_t3d2_plchmb.inp: Abaqus/Standard analysis.
sx_x_t3d2_plchmb.inp: Second Abaqus/Explicit analysis.

Adiabatic Mises plasticity tests with the C3D8R element:

xs_x_c3d8r_ad.inp: First Abaqus/Explicit analysis.
xs_s_c3d8r_ad.inp: Abaqus/Standard analysis.
sx_x_c3d8r_ad.inp: Second Abaqus/Explicit analysis.

Transferring results with plasticity

Elements tested

Problem description

Results and discussion

Input files