On Solving Physically Nonlinear Equilibrium Problems for Sandwich Plates with a Transversely Soft Filler

Abstract

The generalized statement for the problem of determining the stress-strain state of sandwich plates with a transversely soft filler in the presence of constraints is given. Its correctness is discussed. This statement is formulated in the form of finding a saddle point of some functional. The existence and uniqueness theorems are proved. An iterative method for solving the problem is proposed. Its convergence is investigated.

Keywords

• sandwich plate
• transversely soft filler
• saddle point
• existence theorem
• uniqueness theorem
• iterative method