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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2006, Volume 47, Issue 6, Pages 144–151 (Mi pmtf2215)  
This article is cited in 2 scientific papers (total in 2 papers)

On axisymmetric motion of an incompressible elastic medium under impact loading

Yu. E. Ivanova, V. E. Ragozina

Institute of Automatics and Control Process, Far East Division, Russian Academy of Sciences, Vladivostok, 690041
Full-text PDF (200 kB) Citations (2)
Abstract: The method of matched asymptotic expansions was employed to obtain approximate solutions to the one-dimensional boundary-value problems of nonlinear dynamic elasticity theory of impact loading on the surface of a cylindrical cavity of an incompressible medium that causes antiplane motion or torsion of the medium. The expansion of the solution in the near-front region is based on solutions of evolution equations different from the equations for quasi-simple waves.
Keywords: nonlinear elasticity, shock wave, perturbation method, evolution equation.
Received: 01.12.2005
English version:
Journal of Applied Mechanics and Technical Physics, 2006, Volume 47, Issue 6, Pages 892–898
DOI: https://doi.org/10.1007/s10808-006-0129-6
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: Yu. E. Ivanova, V. E. Ragozina, “On axisymmetric motion of an incompressible elastic medium under impact loading”, Prikl. Mekh. Tekh. Fiz., 47:6 (2006), 144–151; J. Appl. Mech. Tech. Phys., 47:6 (2006), 892–898
Citation in format AMSBIB
\Bibitem{IvaRag06}
\by Yu.~E.~Ivanova, V.~E.~Ragozina
\paper On axisymmetric motion of an incompressible elastic medium under impact loading
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2006
\vol 47
\issue 6
\pages 144--151
\mathnet{http://mi.mathnet.ru/pmtf2215}
\elib{https://elibrary.ru/item.asp?id=16515947}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2006
\vol 47
\issue 6
\pages 892--898
\crossref{https://doi.org/10.1007/s10808-006-0129-6}
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  • https://www.mathnet.ru/eng/pmtf/v47/i6/p144
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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