1.6.5 Finite-sliding contact between a deformable body and a rigid surface

Product: ABAQUS/Standard  

Elements tested

B21    B22    B31    B32   

C3D6    C3D8    C3D8P    C3D8RP    C3D10M    C3D10MH    C3D10MP    C3D10MPH    C3D27   

CAX4    CAX4RP    CAX6M    CAX6MH    CAX6MP    CAX8   

CGAX3    CGAX4    CGAX6    CGAX6M    CGAX8   

CPE4    CPE4P    CPE6M    CPE6MH    CPE6MP    CPE8    CPEG6M    CPEG6MH   

MCL6    MCL9   

Feature tested

*CONTACT PAIR

ASURF, RSURF

ASURF is either an element-based surface or a node-based surface on a deformable body, and RSURF is a rigid surface.

Problem description

The models consist of a solid or beam element that is resting on a rigid surface, or in the case of three-dimensional solid elements, a distance of one unit away from the rigid surface. In the latter case a displacement is applied in the first step to bring the body in contact with the rigid surface. Frictionless contact is assumed. With contact established, a downward pressure is applied on the deformable elements, resulting in contact pressures and stresses in the solid elements. Two pressure load steps are performed. The first step is a geometrically linear analysis, whereas the second step invokes the NLGEOM parameter, which takes the increased contact area into account. The contact pressure (CPRESS) should balance the applied pressure load in both steps.

For axisymmetric elements with twist the test consists of five steps. Initially the solid element interferes with the rigid surface. This overclosure is removed in the first step, which is a nonlinear step. The next three steps are linear perturbation steps, wherein relative sliding and/or twisting is performed between the two contact surfaces. The following nonlinear step combines relative sliding and twisting between the two surfaces.

In the last three steps three linear perturbation analyses are conducted: a direct-solution steady-state dynamic analysis of the two bodies in contact subjected to a harmonic distributed loading, a natural frequency extraction analysis, and a subspace-based steady-state dynamic analysis.

For cylindrical membrane elements the models consist of two concentric cylinders. The deformable cylinder, which is meshed with cylindrical membrane elements, has a radius of one unit. The rigid cylinder, modeled using an analytical rigid surface, has a radius of 1.2 units. The tests consist of three steps. Initially the cylindrical membrane elements interfere with the rigid surface. This overclosure is removed in the first step, which is a linear step. The value of friction is changed in the second nonlinear step. In the final step relative sliding is performed between the two contact surfaces.

Model:

Length of beams1.0
2-D solid element dimensions5 × 5
3-D solid element dimensions 


C3D8 (contact node set)contact area = 5 × 1
C3D6irregular: contact area = 3
C3D8irregular: contact area = 4
C3D27contact area = 3 × 2

Material:

Young's modulus30 × 106
Poisson's ratio0.3

Results and discussion

For tests with applied pressure, the contact pressure balances the applied downward pressure load on the deformable elements exactly.

Input files

ei22srsb.inp

B21 elements.

ei22srsb_surf.inp

B21 elements using surface-to-surface contact.

ei23srsb.inp

B22 elements.

ei23srsb_surf.inp

B22 elements using surface-to-surface contact.

eib2srsb.inp

B31 elements.

eib3srsb.inp

B32 elements.

ei33srsc.inp

C3D6 elements.

ei33srsc_surf.inp

C3D6 elements using surface-to-surface contact.

ei34srsc.inp

C3D8 elements.

ei34srsc_surf.inp

C3D8 elements using surface-to-surface contact.

eig1srsc.inp

C3D8 elements, three-dimensional node-based surface.

ei34srsp_surf.inp

C3D8P elements using surface-to-surface contact.

ei34srsp_c3d8rp.inp

C3D8RP elements.

ei39srsc_c3d10m.inp

C3D10M elements.

ei39srsc_c3d10mh.inp

C3D10MH elements.

ei39srsc_c3d10mp.inp

C3D10MP elements.

ei39srsc_c3d10mph.inp

C3D10MPH elements.

ei39srsc.inp

C3D27 elements.

eia2srsa.inp

CAX4 elements.

eia2srsa_surf.inp

CAX4 elements using surface-to-surface contact.

eia2srsa_cax4rp.inp

CAX4RP elements.

eia3srsa_cax6m.inp

CAX6M elements.

eia3srsa_cax6mh.inp

CAX6MH elements.

eia3srsa_cax6mp.inp

CAX6MP elements.

eia3srsa.inp

CAX8 elements.

eia3srsa_surf.inp

CAX8 elements using surface-to-surface contact.

eia3srsa_auglagr.inp

CAX8 elements.

eia2srsg3.inp

CGAX3 elements.

eia2srsg3_surf.inp

CGAX3 elements using surface-to-surface contact.

eia2srsg4.inp

CGAX4 elements.

eia3srsg6.inp

CGAX6 elements.

eia3srsg6_surf.inp

CGAX6 elements using surface-to-surface contact.

eia3srsgm6.inp

CGAX6M elements.

eia3srsgm6_surf.inp

CGAX6M elements using surface-to-surface contact.

eia3srsg8.inp

CGAX8 elements.

eia3srsg8_surf.inp

CGAX8 elements using surface-to-surface contact.

ei22srse.inp

CPE4 elements.

eip1srse.inp

CPE4 elements, two-dimensional node-based surface.

ei22srsp.inp

CPE4P elements.

ei23srse_cpe6m.inp

CPE6M elements.

ei23srse_cpe6mh.inp

CPE6MH elements.

ei23srsp_cpe6mp.inp

CPE6MP elements.

ei23srse.inp

CPE8 elements.

ei23srse_surf.inp

CPE8 elements using surface-to-surface contact.

ei23srse_cpeg6m.inp

CPEG6M elements.

ei23srse_cpeg6mh.inp

CPEG6MH elements.

ei36srsc_mcl6.inp

MCL6 elements.

ei36srsc_mcl6_surf.inp

MCL6 elements using surface-to-surface contact.

ei39srsc_mcl9.inp

MCL9 elements.

ei39srsc_mcl9_surf.inp

MCL9 elements using surface-to-surface contact.