The Stress State of Multilayered Physically Nonlinear Plates

Abstract

A theory of and a solution to stationary and nonstationary problems for multilayered unsoldered plates are constructed. They are shown to converge within the framework of the kinematic Kirchhoff model with physical nonlinearity allowed for. The methods of variational iterations and finite differences are used for stress–strain analysis of a two-layered unsoldered plate of constant thickness with allowance for structural and physical nonlinearities. A wide class of problems is considered. In addition, the complex vibrations of two-layered plates are studied for arbitrary boundary conditions and for different gaps between layers