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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2008, Volume 49, Issue 5, Pages 127–142 (Mi pmtf1957)  
This article is cited in 1 scientific paper (total in 1 paper)

Invariant recording of elasticity theory equations

S. V. Selivanova

Sobolev Institute of Mathematics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia
Full-text PDF (259 kB) Citations (1)
Abstract: An invariant (with respect to rotations) formalization of equations of linear and nonlinear elasticity theory is proposed. An equation of state (in the form of a convex generating potential) for various crystallographic systems is written. An algebraic approach is used, which does not require any geometric constructions related to the analysis of symmetry in crystals.
Keywords: elasticity theory, equation of state, crystals, presentation of a group of rotations, Clebsch–Gordan matrix, invariants.
Received: 30.07.2007
English version:
Journal of Applied Mechanics and Technical Physics, 2008, Volume 49, Issue 5, Pages 809–822
DOI: https://doi.org/10.1007/s10808-008-0101-8
Bibliographic databases:
Document Type: Article
UDC: 517.9:539.3
Language: Russian
Citation: S. V. Selivanova, “Invariant recording of elasticity theory equations”, Prikl. Mekh. Tekh. Fiz., 49:5 (2008), 127–142; J. Appl. Mech. Tech. Phys., 49:5 (2008), 809–822
Citation in format AMSBIB
\Bibitem{Sel08}
\by S.~V.~Selivanova
\paper Invariant recording of elasticity theory equations
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2008
\vol 49
\issue 5
\pages 127--142
\mathnet{http://mi.mathnet.ru/pmtf1957}
\elib{https://elibrary.ru/item.asp?id=19062394}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2008
\vol 49
\issue 5
\pages 809--822
\crossref{https://doi.org/10.1007/s10808-008-0101-8}
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  • https://www.mathnet.ru/eng/pmtf/v49/i5/p127
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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