A nonlinear elastic plate model of moderate thickness: Existence, uniqueness and duality. (English) Zbl 0876.73036
Summary: Three problems are solved for a nonlinear model of elastic plates with transverse shear deformations. The material of the plate may be anisotropic. An existence theorem is formulated and proved for a class of boundary conditions, together with the uniqueness theorem for small loadings. Finally, we derive the dual problem and discuss the minimax or Lagrangian approach.
MSC:
| 74K20 | Plates |
| 35Q72 | Other PDE from mechanics (MSC2000) |
Keywords:
minimax approach; transverse shear deformations; small loadings; dual problem; Lagrangian approachReferences:
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