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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2017, Volume 58, Issue 5, Pages 178–189
DOI: https://doi.org/10.15372/PMTF20170518 (Mi pmtf671) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Dynamics of deformation of an elastic medium with initial stresses

E. I. Romenskiiab, E. V. Lysc, V. A. Tcheverdac, M. I. Èpovc

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia
b Novosibirsk State University, Novosibirsk, 630090, Russia
c Trofimuk Institute of Oil and Gas Geology and Geophysics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia
Full-text PDF (246 kB) Citations (8)
DOI: https://doi.org/10.15372/PMTF20170518
Abstract: The constitutive equations of motion of an elastic medium with given initial stresses are formulated in the form of a hyperbolic system of differential equations of the first order. Equations describing the propagation of small perturbations in a prestressed isotropic medium with an arbitrary energy dependence of the elastic deformation in the strain tensor are derived, and equations for the quadratic dependence of elastic strain energy on the strain tensor are given.
Keywords: motion of an elastic medium, initial stresses, elastic waves.
Funding agency Grant number
Russian Foundation for Basic Research 15-05-01310
Russian Academy of Sciences - Federal Agency for Scientific Organizations 121
Received: 24.04.2017
English version:
Journal of Applied Mechanics and Technical Physics, 2017, Volume 58, Issue 5, Pages 914–923
DOI: https://doi.org/10.1134/S0021894417050182
Bibliographic databases:
Document Type: Article
UDC: 539.3: 517.958
Language: Russian
Citation: E. I. Romenskii, E. V. Lys, V. A. Tcheverda, M. I. Èpov, “Dynamics of deformation of an elastic medium with initial stresses”, Prikl. Mekh. Tekh. Fiz., 58:5 (2017), 178–189; J. Appl. Mech. Tech. Phys., 58:5 (2017), 914–923
Citation in format AMSBIB
\Bibitem{RomLysTch17}
\by E.~I.~Romenskii, E.~V.~Lys, V.~A.~Tcheverda, M.~I.~\`Epov
\paper Dynamics of deformation of an elastic medium with initial stresses
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2017
\vol 58
\issue 5
\pages 178--189
\mathnet{http://mi.mathnet.ru/pmtf671}
\crossref{https://doi.org/10.15372/PMTF20170518}
\elib{https://elibrary.ru/item.asp?id=30295645}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2017
\vol 58
\issue 5
\pages 914--923
\crossref{https://doi.org/10.1134/S0021894417050182}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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