Focusing and Scattering of Plane Shock Waves at an Interface between Anisotropic Elastic Media |
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Authors: | V. I. Gulyaev G. M. Ivanchenko |
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Affiliation: | (1) National University of Transportation, Kiev, 01010, Ukraine;(2) Kiev National University of Civil Engineering and Architecture, Kiev, 01037, Ukraine |
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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. Shockwave 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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