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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2012, Volume 53, Issue 2, Pages 156–166 (Mi pmtf1355)  

This article is cited in 1 scientific paper (total in 1 paper)

Description of finite deformation of solids in a reference configuration

M. Yu. Sokolova, D. V. Khristich

Tula State University, Tula, 300600, Russia
Full-text PDF (308 kB) Citations (1)
Abstract: Variational principles of equilibrium processes of deformation and heat conduction are formulated. The variational relations are written for the initial configuration of solids and can be used without restrictions on the strain. A system of equations for a coupled boundary-value problem for isotropic and anisotropic solids is presented, and initial and boundary conditions are formulated. Results of solving problems of finite deformation of initially cylindrical solids are given.
Keywords: thermomechanics, reversible deformation, finite deformation, variational principles, coupled boundary-value problems.
Received: 16.04.2010
Accepted: 18.05.2011
English version:
Journal of Applied Mechanics and Technical Physics, 2012, Volume 53, Issue 2, Pages 283–291
DOI: https://doi.org/10.1134/S0021894412020174
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: M. Yu. Sokolova, D. V. Khristich, “Description of finite deformation of solids in a reference configuration”, Prikl. Mekh. Tekh. Fiz., 53:2 (2012), 156–166; J. Appl. Mech. Tech. Phys., 53:2 (2012), 283–291
Citation in format AMSBIB
\Bibitem{SokKhr12}
\by M.~Yu.~Sokolova, D.~V.~Khristich
\paper Description of finite deformation of solids in a reference configuration
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2012
\vol 53
\issue 2
\pages 156--166
\mathnet{http://mi.mathnet.ru/pmtf1355}
\elib{https://elibrary.ru/item.asp?id=17651512}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2012
\vol 53
\issue 2
\pages 283--291
\crossref{https://doi.org/10.1134/S0021894412020174}
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  • https://www.mathnet.ru/eng/pmtf1355
  • https://www.mathnet.ru/eng/pmtf/v53/i2/p156
  • This publication is cited in the following 1 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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