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Focusing and Scattering of Plane Shock Waves at an Interface between Anisotropic Elastic Media
Authors:V. I. Gulyaev  G. M. Ivanchenko
Affiliation:(1) National University of Transportation, Kiev, 01010, Ukraine;(2) Kiev National University of Civil Engineering and Architecture, Kiev, 01037, Ukraine
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. Shockdashwave scattering and focusing as a particular case of bifurcation of shock fronts and formation of caustics are considered. A numerical example is given.
Keywords:
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