3.6.2 Two-dimensional continuum stress/displacement submodeling

Products: ABAQUS/Standard ABAQUS/Explicit

Elements tested

CPEG3 CPEG4 CPEG6 CPEG6M CPEG8

CPE3 CPE4 CPE4H CPE4R CPE6 CPE6M CPE8 CPE8H CPE8R

CPS3 CPS4 CPS4R CPS6 CPS6M CPS8

Features tested

The submodeling capability is applied to two-dimensional continuum stress/displacement elements. In ABAQUS/Standard general static and linear perturbation procedures are used in various combinations for both the global and submodel analyses. In ABAQUS/Explicit the procedures are quasi-static for both the global and submodel analyses.

Problem description

Model:

All global models have dimensions 8.0 × 1.5 in the – plane, with an out-of-plane dimension of 1.0 (plane stress analysis).

Material:

Young's modulus	3 × 10⁶
Poisson's ratio	0.3
Density	10.0
Rayleigh damping ()	0.2
Rayleigh damping ()	0.4

Loading and boundary conditions:

All global models involving static procedures and ABAQUS/Explicit quasi-static procedures are subject to the loading and boundary conditions depicted in Figure 3.6.2–1. In ABAQUS/Standard the time history of the loading, the time at which the corresponding submodeled analysis is performed, and the requested file output from the global model are unique to each individual analysis. In ABAQUS/Explicit the same step time and smooth step loading are used in both the global and submodel analyses.

Figure 3.6.2–1 Global and submodeled domains used with static procedures.

All global models involving dynamic procedures in ABAQUS/Standard are subject to the loading and boundary conditions depicted in Figure 3.6.2–2. For the transient simulations using the *DYNAMIC option, different excitation frequencies of the load can be tested by changing the parameters defined in the input files. As in the static analyses the time history of the loading, the time at which the corresponding submodeled analysis is performed, and the requested file output from the global model are unique to each individual analysis.

Figure 3.6.2–2 Global and submodeled domains used with dynamic procedures.

Results and discussion

The amplitudes of all driven variables in the submodeled analysis are correctly identified on the global analysis file output and applied at the driven nodes in the submodel analysis.