3.6.5 Axisymmetric continuum stress/displacement submodeling

Products: ABAQUS/Standard ABAQUS/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 r–z plane.

Material:

Young's modulus	30 × 10⁶
Poisson's ratio	0.3
Density	10.0

Boundary conditions:

Along the left face of the model =0. One node is further constrained so that =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,” Section 3.6.2, 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.