Axisymmetric stress/displacement submodeling with twist

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

This page discusses:

ProductsAbaqus/Standard

Elements tested

CGAX4R

CGAX4

CGAX6M

CGAX6MH

CGAX8H

Features tested

The submodeling capability is applied to axisymmetric stress/displacement elements with twist. The submodels cut the global model along lines that are diagonal to the global model's regular geometry. The static analysis procedure is used.

Problem description

Model:

The global model dimensions are 8.0 × 1.5 in the rz plane.

Material:

Young's modulus 30 × 106
Poisson's ratio 0.3
Density 1.0

Step I boundary conditions

Along the left face of the model ur=0. One node is further constrained so that uz=0.

Step I loading

In all models a pressure of −1.0 × 106 is applied to the right-hand face. (A figure with the same geometry and loading is shown in Two-dimensional continuum stress/displacement submodeling, except with rectangular Cartesian coordinate axes x and y instead of the cylindrical coordinate axes r and z.)

Step II boundary conditions

The bottom face is constrained in all degrees of freedom.

Step II loading

In all models a twist of 0.01 radians is applied to the top face.

Results and discussion

In all cases the nodal displacements for the driven nodes in the submodels are correctly interpolated from the global model results. In the cases presented, element and nodal responses in the submodels match the responses in the global models.

Input files

pgca4grs.inp

CGAX4R elements; global analysis.

psca8gf1.inp

CGAX4R elements; submodel analysis.

psca8gf1_sb.inp

CGAX4R elements; stress-based submodel analysis.

pgca4grsgm.inp

CGAX4R elements; multiple SUBMODEL options; global analysis.

psca8gf1gm.inp

CGAX4R elements; multiple SUBMODEL options; submodel analysis.

pgca4gfs.inp

CGAX4 elements; global analysis.

psca4gf1.inp

CGAX4 elements; submodel analysis.

pgca6gfs.inp

CGAX6M elements; global analysis.

psca6gf1.inp

CGAX6M elements; submodel analysis.

pgca6ghs.inp

CGAX6MH elements; global analysis.

psca6gh1.inp

CGAX6MH elements; submodel analysis.

pgca8ghs.inp

CGAX8H elements; global analysis.

psca8gh1.inp

CGAX8H elements; submodel analysis.