Abstract
The ray method is used to solve the boundary-value problems that lead to the propagation of two-dimensional shock waves in anisotropic plates of constant thickness, taking into account rotatory inertia and transverse shear deformations, as well as the coupling of extensional and transverse vibrational modes. The essence of the method is to construct the solution beyond the shock wave fronts by using ray series similar to Taylor series. Transient two-dimensional wave propagation in semi-infinite AT-cut quartz plates is studied.
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