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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2002, Volume 43, Issue 5, Pages 20–27 (Mi pmtf2665)  
Focusing and scattering of plane shock waves at an interface between anisotropic elastic media

V. I. Guliaeva, G. M. Ivanchenkob

a National University of Transportation, Kiev, 01010, Ukraine
b Kiev National University of Civil Engineering and Architecture, Kiev, 01037, Ukraine
Full-text PDF (341 kB)
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.
Received: 17.12.2001
English version:
Journal of Applied Mechanics and Technical Physics, 2002, Volume 43, Issue 5, Pages 654–660
DOI: https://doi.org/10.1023/A:1019875400067
Bibliographic databases:
Document Type: Article
UDC: 539.3:532.593
Language: Russian
Citation: V. I. Guliaev, G. M. Ivanchenko, “Focusing and scattering of plane shock waves at an interface between anisotropic elastic media”, Prikl. Mekh. Tekh. Fiz., 43:5 (2002), 20–27; J. Appl. Mech. Tech. Phys., 43:5 (2002), 654–660
Citation in format AMSBIB
\Bibitem{GulIva02}
\by V.~I.~Guliaev, G.~M.~Ivanchenko
\paper Focusing and scattering of plane shock waves at an interface between anisotropic elastic media
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2002
\vol 43
\issue 5
\pages 20--27
\mathnet{http://mi.mathnet.ru/pmtf2665}
\elib{https://elibrary.ru/item.asp?id=17274705}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2002
\vol 43
\issue 5
\pages 654--660
\crossref{https://doi.org/10.1023/A:1019875400067}
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