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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2006, Volume 47, Issue 4, Pages 124–134 (Mi pmtf2176)  
This article is cited in 7 scientific papers (total in 7 papers)

Affine transformations of the equations of the linear theory of elasticity

N. I. Ostrosablin

Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
Full-text PDF (202 kB) Citations (7)
Abstract: This paper deals with the general formulas of affine transformations that preserve invariance of the static equations of the linear theory of elasticity in the case of arbitrary anisotropic materials. The invariance of the equations with respect to affine transformations allows one to model a given anisotropic material by another material. All anisotropic materials are divided into classes of mutually congruent materials. The congruency conditions are obtained for orthotropic and isotropic materials and for orthotropic and transversely isotropic materials.
Keywords: affine transformations, anisotropy, elastic moduli, congruency, invariance of equations.
Received: 11.10.2005
English version:
Journal of Applied Mechanics and Technical Physics, 2006, Volume 47, Issue 4, Pages 564–572
DOI: https://doi.org/10.1007/s10808-006-0090-4
Bibliographic databases:
Document Type: Article
UDC: 539.3: 517.958
Language: Russian
Citation: N. I. Ostrosablin, “Affine transformations of the equations of the linear theory of elasticity”, Prikl. Mekh. Tekh. Fiz., 47:4 (2006), 124–134; J. Appl. Mech. Tech. Phys., 47:4 (2006), 564–572
Citation in format AMSBIB
\Bibitem{Ost06}
\by N.~I.~Ostrosablin
\paper Affine transformations of the equations of the linear theory of elasticity
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2006
\vol 47
\issue 4
\pages 124--134
\mathnet{http://mi.mathnet.ru/pmtf2176}
\elib{https://elibrary.ru/item.asp?id=16515909}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2006
\vol 47
\issue 4
\pages 564--572
\crossref{https://doi.org/10.1007/s10808-006-0090-4}
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  • https://www.mathnet.ru/eng/pmtf/v47/i4/p124
    • This publication is cited in the following 7 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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