Green's tensor and the boundary integral equations for thin elastic multilayer asymmetric anisotropic plates

The matrix of quasistatic fundamental solutions of the averaged equations of elasticity for a thin multilayer plate of arbitrary asymmetric construction with general anisotropy of the layers is constructed. The main difference from the classical case arises when analysing the closely associated processes of bending and tension-compression-shear since, generally speaking, these plates do not contain a neutral plane (a plane that remains undeformed during bending). The reciprocity theorem in steady-state dynamics and statics is used to obtain integral identities. For the main types of related boundary-value problems of statics, a system of four boundary integral equations is derived. The singularities of the kernels are studied and the properties of the equations are investigated. (C) 1997 Elsevier Science Ltd. All rights reserved.