Product: ABAQUS/Standard
The submodeling capability is applied to plane stress, plane strain, and three-dimensional solid piezoelectric elements. The global models consist of one element; the submodels model half of the global model and consist of two elements. Static and steady-state procedures are used.
The global model dimensions are 7 × 7 × 7. The submodel models the right-hand half of the global model.
Material:| Young's modulus | 3 × 106 |
| Poisson's ratio | 0.3 |
| Density | 10 |
| Coeff. of thermal expansion | 0.0001 |
| Dielectric | anisotropic (see input file) |
Boundary conditions:
The electric charge and the displacements 
and 
are zero on the 
= 0 plane. The electric charge and the 
displacement are zero on the 
= 0 plane.
Loading:
The initial temperature is –10 at all nodes. In the first step a distributed charge of 3000 is applied on the = 7 plane and the = 7 plane. In the second step a temperature of 40 is applied to all nodes.
The global model dimensions are 7 × 7 with a thickness of 1.0. The submodel models the right-hand half of the global model.
Material:Boundary conditions:
The electric charge and the displacement are zero along the left-hand edge. Along the bottom edge the electric charge and the displacement are zero.
Loading:
A distributed charge of 100 is applied on the right-hand edge. A concentrated charge of –150 is applied on the upper right-hand corner.
The global model dimensions are 7 × 7 with a thickness of 1.0. The submodel models the right half of the global model.
Material:| Young's modulus | 3 × 106 |
| Poisson's ratio | 0.3 |
| Density | 5 × 10–5 |
| Coeff. of thermal expansion | 0.0001 |
| Dielectric | 5.872 × 10–9 |
Boundary conditions:
The electric charge and the displacement are zero along the left edge. Along the bottom edge the electric charge and the displacement are zero.
Loading:
In the static step distributed charges of 2000 and 3000 are applied on the right-hand edge and top edge respectively. A concentrated charge of –150 is applied at the upper right-hand corner. In the steady-state step, distributed pressures of 200 and 300 are applied on the right-hand edge and top edge, respectively.
The nodal displacements and electrical potential for the driven nodes in the submodels are correctly interpolated from the global model results.
Global analysis.
Submodel analysis.
Global analysis; multiple *SUBMODEL options.
Submodel analysis; multiple *SUBMODEL options.