Focusing and Scattering of Plane Shock Waves at an Interface between Anisotropic Elastic Media

Abstract

The paper is focused on the problem of constructing evolving fronts of quasilongitudinal and quasitransverse shock waves formed by incidence of an initial plane shock wave on a curvilinear interface between elastic transverse isotropic media with different physical properties. The parameter continuation method and the Newton algorithm are used to solve nonlinear Snell's equations. A method for calculating discontinuities of field functions is proposed. Shock‐wave scattering and focusing as a particular case of bifurcation of shock fronts and formation of caustics are considered. A numerical example is given.