Some contact problems of anisotropic elastodynamics: integral characteristics and exact solutions

Abstract

The author's method of integral characteristics of solutions to boundary-initial value problems of contact is applied to solve some new problems of anisotropic elastodynamics. For both anisotropic elastic and elastic with initial stresses media, solutions are obtained to impact problems which were solved earlier for only an isotropic linear elastic medium. It is also found the resultant contact force in the problems of both frictional and frictionless pressing normal to the boundary plane of the anisotropic continuous both an elastic with initial stresses and a linear viscoelastic orthotropic half-spaces. Some general properties of dynamical contact problems are also formulated. In particular, conditions are provided when problems of vertical pressing are self-similar.