Design sensitivity analysis for contact

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

This page discusses:

ProductsAbaqus/Design

Elements tested

C3D8

C3D10M

CPE4

CPE6M

S4R

Features tested

This section includes a set of simple tests to verify DSA for contact between solid displacement elements and rigid surfaces with small-sliding and finite-sliding surface interaction. Both analytical and discrete rigid surfaces are used. The interaction between the rigid and deformable surfaces is assumed to be frictionless for all small-sliding surface interactions. Isotropic Coulomb friction with a friction coefficient of 0.2 is assumed for the finite-sliding tests. Two-dimensional and three-dimensional first-order solids with hyperelastic material models are tested. Shape parameters that affect the secondary surface and friction coefficient are chosen as the design parameters, and the sensitivities of the contact responses CPRESS and CDISP are verified.

Problem description

The tests are performed on a square block discretized with four to eight elements. The structure is held fixed at one end, and a rigid die is pushed onto the other end using prescribed displacements. The incremental DSA formulation is used in all tests. Shape parameters that change the shape of the secondary surface are chosen as the primary design parameters.

Results and discussion

The response sensitivities are verified by comparison to overall finite difference results.

Input files

idsaincsm2d_arig.inp

Incremental DSA, small-sliding, two-dimensional model, analytical rigid surface.

idsaincsm2d_arig_surf.inp

Incremental DSA, small-sliding, two-dimensional model, analytical rigid surface, surface-to-surface constraint enforcement method.

idsaincsm2d_drig.inp

Incremental DSA, small-sliding, two-dimensional model, discrete rigid surface.

idsaincsm2d_drig_surf.inp

Incremental DSA, small-sliding, two-dimensional model, discrete rigid surface, surface-to-surface constraint enforcement method.

idsaincsm2dm_arig.inp

Incremental DSA, small-sliding, two-dimensional model, modified triangles, analytical rigid surface.

idsaincsm2dm_arig_surf.inp

Incremental DSA, small-sliding, two-dimensional model, modified triangles, analytical rigid surface, surface-to-surface constraint enforcement method.

idsaincsm3d_arig.inp

Incremental DSA, small-sliding, three-dimensional model, analytical rigid surface.

idsaincsm3d_arig_surf.inp

Incremental DSA, small-sliding, three-dimensional model, analytical rigid surface, surface-to-surface constraint enforcement method.

idsaincsm3d_drig.inp

Incremental DSA, small-sliding, three-dimensional model, discrete rigid surface.

idsaincsm3d_drig_surf.inp

Incremental DSA, small-sliding, three-dimensional model, discrete rigid surface, surface-to-surface constraint enforcement method.

idsaincsm3dm_arig.inp

Incremental DSA, small-sliding, three-dimensional model, modified tetrahedra, analytical rigid surfaces.

idsaincsm3dm_arig_surf.inp

Incremental DSA, small-sliding, three-dimensional model, modified tetrahedra, analytical rigid surfaces, surface-to-surface constraint enforcement method.

idsainc2d_arig.inp

Incremental DSA, finite-sliding, two-dimensional model, analytical rigid surface with friction.

idsatot2d_arig.inp

Total DSA, finite-sliding, two-dimensional model, analytical rigid surface with friction.

idsainc2d_drig.inp

Incremental DSA, finite-sliding, two-dimensional model, discrete rigid surface with friction.

idsatot2d_drig.inp

Total DSA, finite-sliding, two-dimensional model, discrete rigid surface with friction.

idsainc3d_arig.inp

Incremental DSA, finite-sliding, three-dimensional model, analytical rigid surface with friction.

idsatot3d_arig.inp

Total DSA, finite-sliding, three-dimensional model, analytical rigid surface.

idsainc3d_drig.inp

Incremental DSA, finite-sliding, three-dimensional model, discrete rigid surface with friction.

idsatot3d_drig.inp

Total DSA, finite-sliding, three-dimensional model, discrete rigid surface.

idsaincshell.inp

Incremental DSA, finite-sliding, structural model, analytical rigid surface with friction.