Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 1983, Number 3, Pages 80–86 (Mi vmumm3497)  
Mechanics

Simple waves in a nonlinearly elastic medium

È. V. Lenskii
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Abstract: The paper deals with properties of a simple waves propagating in an isotropic non-linearly elastic medium whose elastic potential is determined, by two arbitrary functions of the first and second invariants of the small strain tensor. The prestrain is arbitrary. A generalized definition of quasi-longitudinal and quasi-transverse waves is proposed involving the property of strict hyperbolicity of a system.
Received: 03.11.1982
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: È. V. Lenskii, “Simple waves in a nonlinearly elastic medium”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1983, no. 3, 80–86
Citation in format AMSBIB
\Bibitem{Len83}
\by \`E.~V.~Lenskii
\paper Simple waves in a nonlinearly elastic medium
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 1983
\issue 3
\pages 80--86
\mathnet{http://mi.mathnet.ru/vmumm3497}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0705604}
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