Axisymmetric continuum stress/displacement submodeling

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

This page discusses:

ProductsAbaqus/StandardAbaqus/Explicit

Elements tested

CAX3

CAX4I

CAX4R

CAX6

CAX6M

CAX8H

CAX8R

Features tested

The submodeling capability is applied to axisymmetric stress/displacement elements. The submodels cut the global model along lines that are diagonal to the global model's regular geometry. Static and steady-state dynamic procedures are tested in Abaqus/Standard. In Abaqus/Explicit the analyses are quasi-static; each submodel can be driven from any of the global models.

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 10.0

Boundary conditions:

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

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 that the figure has rectangular axes x and y instead of the axisymmetric axes r and z.)

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

Abaqus/Standard input files

pgca4sis.inp

CAX4I elements; global analysis.

psca8si1.inp

CAX4I elements; submodel analysis.

psca8si1_sb.inp

CAX4I elements; stress-based submodel analysis.

pgca6sts.inp

CAX6 elements; global analysis.

psca6st1.inp

CAX6 elements; submodel analysis.

psca6st1_sb.inp

CAX6 elements; stress-based submodel analysis.

pgca6sms.inp

CAX6M elements; global analysis.

psca6sm1.inp

CAX6M elements; submodel analysis.

pgca8shs.inp

CAX8H elements; global analysis.

psca8sh1.inp

CAX8H elements; submodel analysis.

pgca8srm.inp

CAX8R elements; global analysis.

psca8sr1.inp

CAX8R elements; submodel analysis.

psca8sr1_sb.inp

CAX8R elements; stress-based submodel analysis.

Abaqus/Explicit input files

submodelaxielem_cax3_g_xpl.inp

CAX3 elements; global analysis.

submodelaxielem_cax3_s_xpl.inp

CAX3 elements; submodel analysis.

submodelaxielem_cax4r_g_xpl.inp

CAX4R elements; global analysis.

submodelaxielem_cax4r_s_xpl.inp

CAX4R elements; submodel analysis.

submodelaxielem_cax6m_g_xpl.inp

CAX6M elements; global analysis.

submodelaxielem_cax6m_s_xpl.inp

CAX6M elements; submodel analysis.