3.6.3 Three-dimensional continuum stress/displacement submodeling

Products: ABAQUS/Standard ABAQUS/Explicit

Elements tested

C3D4 C3D6 C3D8 C3D8R C3D10 C3D10M C3D15 C3D20 C3D27 SC6R SC8R

Features tested

The submodeling capability is applied to the three-dimensional continuum stress/displacement elements and the continuum shell elements. In ABAQUS/Standard general static, dynamic, and linear perturbation procedures are used in various combinations for both the global and submodel analyses. In ABAQUS/Explicit both the global model and submodel are quasi-static analyses, except for the test that uses the GLOBAL ELSET parameter, which is a dynamic process. In the quasi-static tests each submodel can be driven from any of the global models.

The submodeling capability is also tested for a directly input matrix representing an element stiffness in static procedures (general and linear perturbation) in ABAQUS/Standard.

Problem description

Model:

All global models have dimensions 8.0 × 1.5 × 1.0.

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 in ABAQUS/Standard and all the analyses in ABAQUS/Explicit are subject to the same loading and boundary conditions as depicted in “Two-dimensional continuum stress/displacement submodeling,” Section 3.6.2. 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. Smooth-step amplitudes are used to load the quasi-static models in ABAQUS/Explicit.

All global models involving dynamic procedures in ABAQUS/Standard are subject to the same loading and boundary conditions as depicted in “Two-dimensional continuum stress/displacement submodeling,” Section 3.6.2. 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.

Results and discussion

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