Focusing and scattering of plane shock waves at an interface between anisotropic elastic media

V. I. Guliaev^a, G. M. Ivanchenko<sup>b

a</sup> National University of Transportation, Kiev, 01010, Ukraine
^b 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. 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.

UDC: 539.3:532.593

Received: 17.12.2001

 English version: Journal of Applied Mechanics and Technical Physics, 2002, 43:5, 654–660

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