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Zhurnal Tekhnicheskoi Fiziki, 2017, Volume 87, Issue 12, Pages 1782–1789
DOI: https://doi.org/10.21883/JTF.2017.12.45198.2295 (Mi jtf6040) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Theoretical and Mathematical Physics

Bulk nonlinear elastic strain waves in a bilayer coaxial cylindrical rod

I. A. Gula, A. M. Samsonov

Ioffe Institute, St. Petersburg
Full-text PDF (324 kB) Citations (1)
DOI: https://doi.org/10.21883/JTF.2017.12.45198.2295
Abstract: The problem of the propagation of long nonlinear elastic strain waves in a bilayer coaxial cylindrical rod with an ideal contact between the layers has been considered. Expressions for transverse displacements through longitudinal displacements have been derived. The former satisfies free boundary conditions and continuity conditions for displacements and stresses at the interlayer interface with the desired accuracy. It has been shown how these expressions generalize the well-known plane-section and Love hypotheses for an isotropic homogeneous rod. An equation for the propagation of a nonlinearly elastic strain longitudinal wave has been derived, and its particular solution in the form of a solitary traveling wave has been studied.
Received: 07.04.2017
English version:
Technical Physics, 2017, Volume 62, Issue 12, Pages 1778–1786
DOI: https://doi.org/10.1134/S1063784217120118
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. A. Gula, A. M. Samsonov, “Bulk nonlinear elastic strain waves in a bilayer coaxial cylindrical rod”, Zhurnal Tekhnicheskoi Fiziki, 87:12 (2017), 1782–1789; Tech. Phys., 62:12 (2017), 1778–1786
Citation in format AMSBIB
\Bibitem{GulSam17}
\by I.~A.~Gula, A.~M.~Samsonov
\paper Bulk nonlinear elastic strain waves in a bilayer coaxial cylindrical rod
\jour Zhurnal Tekhnicheskoi Fiziki
\yr 2017
\vol 87
\issue 12
\pages 1782--1789
\mathnet{http://mi.mathnet.ru/jtf6040}
\crossref{https://doi.org/10.21883/JTF.2017.12.45198.2295}
\elib{https://elibrary.ru/item.asp?id=30684883}
\transl
\jour Tech. Phys.
\yr 2017
\vol 62
\issue 12
\pages 1778--1786
\crossref{https://doi.org/10.1134/S1063784217120118}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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