3.6.6 Axisymmetric stress/displacement submodeling with twist

Product: ABAQUS/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 r–z 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 =0. One node is further constrained so that =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,” Section 3.6.2, 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.