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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2009, Volume 9, Issue 4(2), Pages 14–24
DOI: https://doi.org/10.18500/1816-9791-2009-9-4-2-14-24
(Mi isu84)
 

This article is cited in 6 scientific papers (total in 6 papers)

Mechanics

The evolutionary equation for wave processes of the shift deformation

A. A. Burenin, V. E. Ragozina, Yu. E. Ivanova

Institute of Automation and Control Processes FEB RAS, Laboratory of a Deformable Solid Mechanics
Full-text PDF (240 kB) Citations (6)
References:
Abstract: One-dimensional process of formation and the subsequent motion of a flat cross shock wave is studied on the basis of solutions of the corresponding nonlinear evolutionary equation. This equation defines behaviour of the solution in front area of wave process and follows from interior lines of a method of matched asymptotic expansions. Comparative transient analysis of strains of a deformation and volume will be carried out and their basic differences are specified. In the capacity of model examples solutions of some concrete boundary value problems of a dynamic shift straining are observed.
Key words: nonlinear elasticity, incompressibility, shock wave, method of perturbations, the evolutionary equation.
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: A. A. Burenin, V. E. Ragozina, Yu. E. Ivanova, “The evolutionary equation for wave processes of the shift deformation”, Izv. Saratov Univ. Math. Mech. Inform., 9:4(2) (2009), 14–24
Citation in format AMSBIB
\Bibitem{BurRagIva09}
\by A.~A.~Burenin, V.~E.~Ragozina, Yu.~E.~Ivanova
\paper The evolutionary equation for wave processes of the shift deformation
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2009
\vol 9
\issue 4(2)
\pages 14--24
\mathnet{http://mi.mathnet.ru/isu84}
\crossref{https://doi.org/10.18500/1816-9791-2009-9-4-2-14-24}
\elib{https://elibrary.ru/item.asp?id=13032917}
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  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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    Abstract page:302
    Full-text PDF :126
    References:57
     
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