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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2013, Volume 54, Issue 5, Pages 142–153 (Mi pmtf1146)  
This article is cited in 3 scientific papers (total in 3 papers)

Effect of the medium inhomogeneity on the evolution equation of plane shock waves

V. E. Ragozina, Yu. E. Ivanova

IInstitute of Automation and Control Processes, Far Eastern Branch, Russian Academy of Sciences, Vladivostok, 690041, Russia
Full-text PDF (232 kB) Citations (3)
Abstract: Using the method of matched asymptotic expansions, solutions of boundary-value problems of shock deformation of nonlinear elastic weakly inhomogeneous semispaces are obtained. It is shown that nonlinearity of the model and various properties of the inhomogeneity lead to new evolution equations in the frontal areas of longitudinal and transverse shock waves, the transition to which is due to transformations of all independent coordinates of the problem.
Keywords: nonlinear elastic medium, inhomogeneity, shock waves, bulk and shear deformation, evolution equation.
Received: 17.10.2012
Revised: 21.03.2013
English version:
Journal of Applied Mechanics and Technical Physics, 2013, Volume 54, Issue 5, Pages 809–818
DOI: https://doi.org/10.1134/S0021894413050143
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: V. E. Ragozina, Yu. E. Ivanova, “Effect of the medium inhomogeneity on the evolution equation of plane shock waves”, Prikl. Mekh. Tekh. Fiz., 54:5 (2013), 142–153; J. Appl. Mech. Tech. Phys., 54:5 (2013), 809–818
Citation in format AMSBIB
\Bibitem{RagIva13}
\by V.~E.~Ragozina, Yu.~E.~Ivanova
\paper Effect of the medium inhomogeneity on the evolution equation of plane shock waves
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2013
\vol 54
\issue 5
\pages 142--153
\mathnet{http://mi.mathnet.ru/pmtf1146}
\elib{https://elibrary.ru/item.asp?id=20653900}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2013
\vol 54
\issue 5
\pages 809--818
\crossref{https://doi.org/10.1134/S0021894413050143}
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  • https://www.mathnet.ru/eng/pmtf/v54/i5/p142
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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