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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2022, Volume 63, Issue 4, Pages 172–182
DOI: https://doi.org/10.15372/PMTF20220418 (Mi pmtf101) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Cylindrical dislocation in a nonlinear elastic incompressible material

A. V. Mark

Academy of State Fire Service of the EMERCOM of Russia, 129366, Moscow, Russia
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DOI: https://doi.org/10.15372/PMTF20220418
Abstract: Using the nonlinear equations of elasticity theory and the geometric theory of defects, a cylindrical dislocation in an incompressible Mooney–Rivlin body is investigated. A cylindrical dislocation consists of two hollow concentric cylinders, one of which is inserted into the other and glued after a corresponding symmetrical deformation. The approaches of the classical theory of elasticity and the geometric theory of defects are compared, which made it possible to give a physical interpretation of the tensor momentum energy density in the Einstein equations for a cylindrical dislocation.
Keywords: cylindrical dislocation, geometric theory of defects, metric, Einstein equations.
Received: 18.07.2019
Revised: 29.08.2021
Accepted: 27.09.2021
English version:
Journal of Applied Mechanics and Technical Physics, 2022, Volume 63, Issue 4, Pages 702–710
DOI: https://doi.org/10.1134/S0021894422040186
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: A. V. Mark, “Cylindrical dislocation in a nonlinear elastic incompressible material”, Prikl. Mekh. Tekh. Fiz., 63:4 (2022), 172–182; J. Appl. Mech. Tech. Phys., 63:4 (2022), 702–710
Citation in format AMSBIB
\Bibitem{Mar22}
\by A.~V.~Mark
\paper Cylindrical dislocation in a nonlinear elastic incompressible material
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2022
\vol 63
\issue 4
\pages 172--182
\mathnet{http://mi.mathnet.ru/pmtf101}
\crossref{https://doi.org/10.15372/PMTF20220418}
\elib{https://elibrary.ru/item.asp?id=49273199}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2022
\vol 63
\issue 4
\pages 702--710
\crossref{https://doi.org/10.1134/S0021894422040186}
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    • This publication is cited in the following 1 articles:
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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    References:7
    First page:3
     
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