On the asymptotic solution of mixed three-dimensional problems for double-layer anisotropic plates☆

Abstract An asymptotic method /1/ is used to solve mixed three-dimensional problems for double-layer anisotropic thermoelastic plates, and the possibility of using the results obtained in computations of elastic bases and foundations in the model of a compressible layer is examined. Additional hypotheses on the nature of the displacement field distribution are not required here, as was done earlier /2/ in the analysis of plates and shells on an elastic basis in the model of a compressible layer. Exact solutions of the internal problem are obtained in a number of cases. This approach can be extended to the case of multilayer plates and shells.