Small-sliding contact between stress/displacement elements

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

This page discusses:

ProductsAbaqus/Standard

Elements tested

  • C3D4
  • C3D5
  • C3D8
  • C3D8H
  • C3D10
  • C3D10HS
  • C3D10M
  • C3D10MH
  • C3D20
  • C3D20H
  • C3D27
  • CAX4
  • CAX4H
  • CAX6M
  • CAX6MH
  • CGAX3
  • CGAX4
  • CGAX6
  • CGAX6M
  • CGAX6MH
  • CGAX8
  • CPE4
  • CPE4H
  • CPE6M
  • CPE6MH
  • CPE8
  • CPE8H
  • CPS4
  • CPS6M
  • CPS8
  • CPS8R
  • CPEG6M
  • CPEG6MH
  • CCL9
  • CCL12
  • CCL18
  • CCL24
  • MCL6
  • MCL9
  • R2D2
  • RAX2

Features tested

Automatic shrink fit

Small-sliding contact pair

Problem description

The models consist of elements with their contact surfaces initially overclosed. This initial overclosure is removed in the first step, which is nonlinear. The second step is a linear perturbation step, wherein relative sliding is performed between the two surfaces. The value of friction is changed in the third nonlinear step. The fourth step is a linear perturbation step, wherein relative frictional sliding is performed between the two surfaces. The fifth step is a direct-solution steady-state dynamic analysis of the two surfaces in contact. In the sixth step the natural frequencies are extracted, which are then used in the seventh step to conduct a subspace-based steady-state dynamic analysis.

A five-step test is carried out for generalized axisymmetric elements. Anisotropic friction is used throughout the test. The first and second steps are the same as mentioned earlier. The third step is a linear perturbation step, wherein relative twisting is performed between the two surfaces. Steps 4 and 5 are similar, except that Step 4 is a linear perturbation step. In these steps both relative sliding and twisting are performed between the two surfaces.

Only a four-step test is carried out for cylindrical-type elements.

Model:

Gap clearance 0.01
Gap clearance for cylindrical-type elements 0.2
Truss length 5.0
Truss area 0.5
2D solid element dimensions 1.0 × 5.0 × 1.0
Inner radius of axisymmetric solids and cylindrical-type elements 1.0
3D solid element dimensions 1.0 unit in each direction

Material:

Young's modulus 30 × 106
Poisson's ratio 0.3
Gap friction 0.0
Density 7700.0

Results and discussion

The contact pressure and tractions agree with the analytical results.

Input files

ei33sisc.inp

C3D4 elements.

ei33sisc_surf.inp

C3D4 elements, surface-to-surface constraint enforcement method.

ei34sisc.inp

C3D8 elements.

ei34sisc_surf.inp

C3D8 elements, surface-to-surface constraint enforcement method.

ei34sish.inp

C3D8H elements.

ei34sish_surf.inp

C3D8H elements, surface-to-surface constraint enforcement method.

ei35sisc.inp

C3D5 elements.

ei35sisc_surf.inp

C3D5 elements, surface-to-surface constraint enforcement method.

ei36sisc.inp

C3D10 elements.

ei36sisc_surf.inp

C3D10 elements, surface-to-surface constraint enforcement method.

ei36sisc_auglagr.inp

C3D10 elements, augmented Lagrangian contact model.

ei36sisc_auglagr_surf.inp

C3D10 elements, augmented Lagrangian contact model, surface-to-surface constraint enforcement method.

ei36sisc_c3d10hs.inp

C3D10HS elements.

ei36sisc_surf_c3d10hs.inp

C3D10HS elements, surface-to-surface constraint enforcement method.

ei36sisc_auglagr_c3d10hs.inp

C3D10HS elements, augmented Lagrangian contact model.

ei36sisc_auglagr_surf_c3d10hs.inp

C3D10HS elements, augmented Lagrangian contact model, surface-to-surface constraint enforcement method.

ei39sisc_c3d10m.inp

C3D10M elements.

ei39sisc_c3d10m_surf.inp

C3D10M elements, surface-to-surface constraint enforcement method.

ei39sisc_c3d10mh.inp

C3D10MH elements.

ei39sisc_c3d10mh_surf.inp

C3D10MH elements, surface-to-surface constraint enforcement method.

ei38sisc.inp

C3D20 elements.

ei38sisc_surf.inp

C3D20 elements, surface-to-surface constraint enforcement method.

ei38sish.inp

C3D20H elements.

ei38sish_surf.inp

C3D20H elements, surface-to-surface constraint enforcement method.

ei39sisc.inp

C3D27 elements.

ei39sisc_surf.inp

C3D27 elements, surface-to-surface constraint enforcement method.

eia2sisa.inp

CAX4 elements.

eia2sisa_surf.inp

CAX4 elements, surface-to-surface constraint enforcement method.

eia2sira.inp

CAX4, RAX2 elements.

eia2sira_surf.inp

CAX4, RAX2 elements, surface-to-surface constraint enforcement method.

eia2sish.inp

CAX4H elements.

eia2sish_surf.inp

CAX4H elements, surface-to-surface constraint enforcement method.

eia2sirh.inp

CAX4H, RAX2 elements.

eia2sirh_surf.inp

CAX4H, RAX2 elements, surface-to-surface constraint enforcement method.

eia3sisa_cax6m.inp

CAX6M elements.

eia3sisa_cax6m_surf.inp

CAX6M elements, surface-to-surface constraint enforcement method.

eia3sira_cax6m.inp

CAX6M, RAX2 elements.

eia3sira_cax6m_surf.inp

CAX6M, RAX2 elements, surface-to-surface constraint enforcement method.

eia3sisa_cax6mh.inp

CAX6MH elements.

eia3sisa_cax6mh_surf.inp

CAX6MH elements, surface-to-surface constraint enforcement method.

eia3sira_cax6mh.inp

CAX6MH, RAX2 elements.

eia2sisg3.inp

CGAX3 elements.

eia2sisg3_surf.inp

CGAX3 elements, surface-to-surface constraint enforcement method.

eia2sirg3.inp

CGAX3, RAX2 elements.

eia2sirg3_surf.inp

CGAX3, RAX2 elements, surface-to-surface constraint enforcement method.

eia2sisg4.inp

CGAX4 elements.

eia2sisg4_surf.inp

CGAX4 elements, surface-to-surface constraint enforcement method.

eia2sirg4.inp

CGAX4, RAX2 elements.

eia2sirg4_surf.inp

CGAX4, RAX2 elements, surface-to-surface constraint enforcement method.

eia3sisg6.inp

CGAX6 elements.

eia3sisg6_surf.inp

CGAX6 elements, surface-to-surface constraint enforcement method.

eia3sirg6.inp

CGAX6, RAX2 elements.

eia3sirg6_surf.inp

CGAX6, RAX2 elements, surface-to-surface constraint enforcement method.

eia3sisg6_cgax6m.inp

CGAX6M elements.

eia3sisg6_cgax6m_surf.inp

CGAX6M elements, surface-to-surface constraint enforcement method.

eia3sirg6_cgax6m.inp

CGAX6M, RAX2 elements.

eia3sirg6_cgax6m_surf.inp

CGAX6M, RAX2 elements, surface-to-surface constraint enforcement method.

eia3sisg6_cgax6mh.inp

CGAX6MH elements.

eia3sisg6_cgax6mh_surf.inp

CGAX6MH elements, surface-to-surface constraint enforcement method.

eia3sirg6_cgax6mh.inp

CGAX6MH, RAX2 elements.

eia3sirg6_cgax6mh_surf.inp

CGAX6MH, RAX2 elements, surface-to-surface constraint enforcement method.

eia3sisg8.inp

CGAX8 elements.

eia3sisg8_surf.inp

CGAX8 elements, surface-to-surface constraint enforcement method.

eia3sirg8.inp

CGAX8, RAX2 elements.

eia3sirg8_surf.inp

CGAX8, RAX2 elements, surface-to-surface constraint enforcement method.

ei22sise.inp

CPE4 elements.

ei22sise_surf.inp

CPE4 elements, surface-to-surface constraint enforcement method.

ei22sire.inp

CPE4, R2D2 elements.

ei22sire_surf.inp

CPE4, R2D2 elements, surface-to-surface constraint enforcement method.

ei22sish.inp

CPE4H elements.

ei22sish_surf.inp

CPE4H elements, surface-to-surface constraint enforcement method.

ei22sirh.inp

CPE4H, R2D2 elements.

ei22sirh_surf.inp

CPE4H, R2D2 elements, surface-to-surface constraint enforcement method.

ei23sise_cpe6m.inp

CPE6M elements.

ei23sise_cpe6m_surf.inp

CPE6M elements, surface-to-surface constraint enforcement method.

ei23sise_cpe6m_auglagr.inp

CPE6M elements, augmented Lagrangian contact model.

ei23sise_cpe6m_auglagr_surf.inp

CPE6M elements, augmented Lagrangian contact model, surface-to-surface constraint enforcement method.

ei23sire_cpe6m.inp

CPE6M, R2D2 elements.

ei23sire_cpe6m_surf.inp

CPE6M, R2D2 elements, surface-to-surface constraint enforcement method.

ei23sise_cpe6mh.inp

CPE6MH elements.

ei23sise_cpe6mh_surf.inp

CPE6MH elements, surface-to-surface constraint enforcement method.

ei23sire_cpe6mh.inp

CPE6MH, R2D2 elements.

ei23sire_cpe6mh_surf.inp

CPE6MH, R2D2 elements, surface-to-surface constraint enforcement method.

ei23sise.inp

CPE8 elements.

ei23sise_surf.inp

CPE8 elements, surface-to-surface constraint enforcement method.

ei23sise_auglagr.inp

CPE8 elements.

ei23sise_auglagr_surf.inp

CPE8 elements, surface-to-surface constraint enforcement method.

ei23sire.inp

CPE8, R2D2 elements.

ei23sire_surf.inp

CPE8, R2D2 elements, surface-to-surface constraint enforcement method.

ei23sire_auglagr.inp

CPE8, R2D2 elements.

ei23sire_auglagr_surf.inp

CPE8, R2D2 elements, surface-to-surface constraint enforcement method.

ei23sireimport_auglagr.inp

CPE8, R2D2 elements, import analysis.

ei23sireimport_auglagr_surf.inp

CPE8, R2D2 elements, import analysis, surface-to-surface constraint enforcement method.

ei23sish.inp

CPE8H elements.

ei23sish_surf.inp

CPE8H elements, surface-to-surface constraint enforcement method.

ei23sirh.inp

CPE8H, R2D2 elements.

ei23sirh_surf.inp

CPE8H, R2D2 elements, surface-to-surface constraint enforcement method.

ei22siss.inp

CPS4 elements.

ei22siss_surf.inp

CPS4 elements,surface-to-surface constraint enforcement method.

ei22sirs.inp

CPS4, R2D2 elements.

ei22sirs_surf.inp

CPS4, R2D2 elements, surface-to-surface constraint enforcement method.

ei23siss_cps6m.inp

CPS6M elements.

ei23siss_cps6m_surf.inp

CPS6M elements, surface-to-surface constraint enforcement method.

ei23sirs_cps6m.inp

CPS6M, R2D2 elements.

ei23sirs_cps6m_surf.inp

CPS6M, R2D2 elements, surface-to-surface constraint enforcement method.

ei22siss.inp

CPS8 elements.

ei22siss_surf.inp

CPS8 elements,surface-to-surface constraint enforcement method.

ei23sirs.inp

CPS8, R2D2 elements.

ei23sirs_surf.inp

CPS8, R2D2 elements, surface-to-surface constraint enforcement method.

ei23sise_cpeg6m.inp

CPEG6M elements.

ei23sise_cpeg6m_surf.inp

CPEG6M elements, surface-to-surface constraint enforcement method.

ei23sire_cpeg6m.inp

CPEG6M, R2D2 elements.

ei23sire_cpeg6m_surf.inp

CPEG6M, R2D2 elements, surface-to-surface constraint enforcement method.

ei23sise_cpeg6mh.inp

CPEG6MH elements.

ei23sise_cpeg6mh_surf.inp

CPEG6MH elements, surface-to-surface constraint enforcement method.

ei36sisc_ccl9.inp

CCL9, MCL9 elements.

ei36sisc_ccl9_thick.inp

CCL9, MCL9 elements, thickness is considered.

ei36sisc_ccl9_surf.inp

CCL9, MCL9 elements, surface-to-surface constraint enforcement method.

ei36sisc_ccl9_surf_nothick.inp

CCL9, MCL9 elements, surface-to-surface constraint enforcement method, surface thickness effects ignored.

ei36sirc_ccl9.inp

CCL9 elements.

ei36sirc_ccl9_surf.inp

CCL9 elements, surface-to-surface constraint enforcement method.

ei36sisc_ccl12.inp

CCL12, MCL9 elements.

ei36sisc_ccl12_thick.inp

CCL12, MCL9 elements, thickness is considered.

ei36sisc_ccl12_surf.inp

CCL12, MCL9 elements, surface-to-surface constraint enforcement method.

ei36sirc_ccl12.inp

CCL12 elements.

ei36sirc_ccl12_surf.inp

CCL12 elements, surface-to-surface constraint enforcement method.

ei39sisc_ccl18.inp

CCL18, MCL9 elements.

ei39sisc_ccl18_surf.inp

CCL18, MCL9 elements, surface-to-surface constraint enforcement method.

ei39sirc_ccl18.inp

CCL18 elements.

ei39sirc_ccl18_surf.inp

CCL18 elements, surface-to-surface constraint enforcement method.

ei39sisc_ccl24.inp

CCL24, MCL9 elements.

ei39sisc_ccl24_surf.inp

CCL24, MCL9 elements, surface-to-surface constraint enforcement method.

ei39sirc_ccl24.inp

CCL24 elements.

ei39sirc_ccl24_surf.inp

CCL24 elements, surface-to-surface constraint enforcement method.

ei36sisc_mcl6.inp

MCL6, MCL9 elements.

ei36sirc_mcl6.inp

MCL6 elements.

ei36sirc_mcl6_surf.inp

MCL6 elements, surface-to-surface constraint enforcement method.

ei39sisc_mcl9.inp

MCL9 elements.

ei39sisc_mcl9_surf.inp

MCL9 elements, surface-to-surface constraint enforcement method.

ei39sirc_mcl9.inp

MCL9 elements.

ei39sirc_mcl9_surf.inp

MCL9 elements, surface-to-surface constraint enforcement method.