On some classes of 3D boundary-value problems of statics and dynamics of plates and shells

Abstract

Classes of the three-dimensional (3D) boundary-value problems for plates and shells, which can be successfully solved by the asymptotic method, are considered. The first, second, and mixed boundary-value problems of the elasticity theory, as well as the nonclassical boundary-value problems for determination of the stressstrain state of the Earth lithospheric plates are studied. The solutions of the 3D dynamic problems for layered plates are applied to diminution of impact of negative seismicwaves on buildings and constructions.Connected and disconnected problems of thermoelasticity, the 3D dynamic problems of electroelasticity for beforehand polarized piezoceramic plates and shells are also solved.