On the state of stress and strain of layered plates of non-symmetric construction (Q922784)

An asymptotic analysis is performed of the elasticity theory problem of the deformation of a thin multilayer anisotropic plate in a three- dimensional formulation without assumption regarding the regularity of the plate construction and the nature of the layer or packet deformation as a whole. Results are used of an investigation of the solutions of elliptic boundary value problems in thin domains. The relative packet height is the small parameter h. A system of equations is obtained for the limit problem (as \(h\to 0)\), effective plate stiffness characteristics are found, and specific examples of their analysis are presented.