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.
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Gulyaev, V.I., Ivanchenko, G.M. Focusing and Scattering of Plane Shock Waves at an Interface between Anisotropic Elastic Media. Journal of Applied Mechanics and Technical Physics 43, 654–660 (2002). https://doi.org/10.1023/A:1019875400067
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DOI: https://doi.org/10.1023/A:1019875400067