All global models have dimensions 10.0 × 3.0 in the – plane and use five section points through the thickness of 0.001.

Loading and boundary conditions:

Except for the problem defined in files pgsf4srsgm.inp and pssf4sr1gm.inp, the global model is constrained such that all displacement and rotation degrees of freedom for nodes along the -axis are suppressed. All elements in the model are then subject to a uniform pressure load of 1 × 10^–7 in the positive -direction. In ABAQUS/Explicit the elements are subject to a uniform pressure load of 1 × 10^–2 in the positive -direction. The global models using triangular shells in ABAQUS/Explicit have three steps; however, the submodel analyses have one step that is driven from the third global step. This is valid because the inertial forces are not significant during the first two steps (the process is quasi-static).

The model considered in ABAQUS/Standard files pgsf4srsgm.inp and pssf4sr1gm.inp and in ABAQUS/Explicit input files using quadrilateral shells has two shell elements through the thickness in part of the region. One end of the model is fixed, while displacements in the -direction are applied to the other end: in the positive -direction for one layer of shells and in the opposite direction for the other layer. This is a special situation, which, in general, necessitates the use of multiple *SUBMODEL options to ensure that driven nodes are assigned to the correct global elements.

Gauss integration is used for the shell cross-section in input files pgsf3srm.inp and pssf3sr1.inp.

The global models have dimensions 0.24 × 0.12 in the – plane and use five section points through the thickness of 0.001.

Loading and boundary conditions:

=10^–3, =10^–3, at all exterior nodes. =0 at all nodes.

The global model has dimensions 10.0 × 3.0 in the – plane and uses three section points through the thickness of 0.001.

Loading and boundary conditions:

=0.0 along ==0; and =100.0 along =10.0, =3.0.

The global model has dimensions 3.0 × 2.0 in the – plane and uses three section points through the thickness of 0.001.

Young's modulus	1.0 × 106
Poisson's ratio	0.3
Thermal conductivity	4.85 × 10–4
Coefficient of thermal expansion ()	1.0 × 10–6

Loading and boundary conditions:

In the global heat transfer analysis a linear through-thickness temperature gradient is developed in the model by specifying =0 at all nodes on the top face of the plate and =100 at all nodes on the bottom face. The global model for the thermal-stress analysis is constrained such that =0 for =0, =0 for =0 and =3, and =0 for ===0.

Both the global model and the submodel use a single element with dimensions 10.0 × 3.0 in the – plane, with a thickness of 0.001.

Boundary conditions:

The global model is constrained such that all displacement and rotation degrees of freedom for nodes along the -axis are suppressed. The rotation degrees of freedom at the remaining nodes are given finite rotation boundary conditions in all three rotation components using different amplitude functions.

In all the problems the global model is a cantilever beam loaded by concentrated loads at one end and fixed at the other end. The submodel consists of a partial cantilever beam that includes the fixed end.