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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2016, Volume 57, Issue 4, Pages 192–210
DOI: https://doi.org/10.15372/PMTF20160419 (Mi pmtf827) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Extreme conditions of elastic constants and principal axes of anisotropy

N. I. Ostrosablin

Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia
Full-text PDF (228 kB) Citations (3)
DOI: https://doi.org/10.15372/PMTF20160419
Abstract: This paper describes the derivation of extremality conditions of each elasticity coefficient (Young's modulus, shear modulus, et al.,) for the general case of linear-elastic anisotropic materials. The stationarity conditions are obtained, and they determine the orthogonal coordinate systems being the main anisotropy axes, where the number of independent elasticity constants decreases from 21 to 18 and, in some cases of anisotropy, to 15 or lower. An example of a material with cubic symmetry is given.
Keywords: linear-elastic materials, anisotropy, elastic constants, extremality conditions, main anisotropy axes, triclinic crystal system, cubic crystal system.
Received: 28.01.2015
Revised: 03.07.2015
English version:
Journal of Applied Mechanics and Technical Physics, 2016, Volume 57, Issue 4, Pages 740–756
DOI: https://doi.org/10.1134/S0021894416040192
Bibliographic databases:
Document Type: Article
UDC: 539.3: 517.958
Language: Russian
Citation: N. I. Ostrosablin, “Extreme conditions of elastic constants and principal axes of anisotropy”, Prikl. Mekh. Tekh. Fiz., 57:4 (2016), 192–210; J. Appl. Mech. Tech. Phys., 57:4 (2016), 740–756
Citation in format AMSBIB
\Bibitem{Ost16}
\by N.~I.~Ostrosablin
\paper Extreme conditions of elastic constants and principal axes of anisotropy
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2016
\vol 57
\issue 4
\pages 192--210
\mathnet{http://mi.mathnet.ru/pmtf827}
\crossref{https://doi.org/10.15372/PMTF20160419}
\elib{https://elibrary.ru/item.asp?id=26493353}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2016
\vol 57
\issue 4
\pages 740--756
\crossref{https://doi.org/10.1134/S0021894416040192}
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  • https://www.mathnet.ru/eng/pmtf/v57/i4/p192
    • This publication is cited in the following 3 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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