Dynamic equations for a homogenous, fully anisotropic, elastic plate

The derivation of plate equations for a homogenous, fully anisotropic, elastic plate is considered. Power series expansions in the thickness coordinate for the displacements lead to recursion relations among the expansion functions. Using these in the boundary conditions a set of plate equations, which can be truncated to any order in the thickness, are obtained and it is believed that these equations are asymptotically correct. Numerical investigations for guided waves along the plate illustrate the accuracy.