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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 438, Pages 118–132 (Mi znsl6188)  

This article is cited in 1 scientific paper (total in 1 paper)

The ray type solution for the wave of finite deformation in the physically linear nonlinear inhomogeneous elastic medium

A. P. Kachalov

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
References:
Abstract: The paper is devoted to the ray types of finite deformation waves in the nonlinear, physically linear elastic media. The waves are a generalization of the Bland plane waves for the isotropic nonlinear media. For the waves the fast oscillation and slow oscillation parts are interacted during the process of propagation. Forms of the waves are adiabatically changed. An example of plane wave in the inhomogeneous media is considered.
Key words and phrases: nonlinear elastic medium, finite deformation, the ray type solutions.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00535А
Received: 15.10.2015
English version:
Journal of Mathematical Sciences (New York), 2017, Volume 224, Issue 1, Pages 79–89
DOI: https://doi.org/10.1007/s10958-017-3396-2
Bibliographic databases:
Document Type: Article
UDC: 534.222.2
Language: Russian
Citation: A. P. Kachalov, “The ray type solution for the wave of finite deformation in the physically linear nonlinear inhomogeneous elastic medium”, Mathematical problems in the theory of wave propagation. Part 45, Zap. Nauchn. Sem. POMI, 438, POMI, St. Petersburg, 2015, 118–132; J. Math. Sci. (N. Y.), 224:1 (2017), 79–89
Citation in format AMSBIB
\Bibitem{Kac15}
\by A.~P.~Kachalov
\paper The ray type solution for the wave of finite deformation in the physically linear nonlinear inhomogeneous elastic medium
\inbook Mathematical problems in the theory of wave propagation. Part~45
\serial Zap. Nauchn. Sem. POMI
\yr 2015
\vol 438
\pages 118--132
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6188}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3501071}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2017
\vol 224
\issue 1
\pages 79--89
\crossref{https://doi.org/10.1007/s10958-017-3396-2}
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  • https://www.mathnet.ru/eng/znsl/v438/p118
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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