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Fizika Tverdogo Tela, 2013, Volume 55, Issue 1, Pages 95–101 (Mi ftt12286)  

This article is cited in 4 scientific papers (total in 4 papers)

Mechanical properties, strength physics and plasticity

Green’s tensor for crystals of the hexagonal system

P. N. Ostapchuk

Institute of Electrophysics & Radiation Technologies National Academy of Sciences of Ukraine
Full-text PDF (141 kB) Citations (4)
Abstract: Expressions for components of the Green’s tensor of the basic equation of the elasticity theory for hexagonal system crystals have been obtained using the Lifshitz–Rozentsveig method. A problem is in principle reduced to finding the roots of a sixth-order algebraic equation. They are either complex or purely imaginary for all known hcp metals. In both cases, the desired components of the Green’s tensor are calculated exactly in contrast to metals of the cubic system. A limiting transition to the isotropic approximation is shown.
Received: 11.05.2012
English version:
Physics of the Solid State, 2013, Volume 55, Issue 1, Pages 109–115
DOI: https://doi.org/10.1134/S1063783413010241
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: P. N. Ostapchuk, “Green’s tensor for crystals of the hexagonal system”, Fizika Tverdogo Tela, 55:1 (2013), 95–101; Phys. Solid State, 55:1 (2013), 109–115
Citation in format AMSBIB
\Bibitem{Ost13}
\by P.~N.~Ostapchuk
\paper Green’s tensor for crystals of the hexagonal system
\jour Fizika Tverdogo Tela
\yr 2013
\vol 55
\issue 1
\pages 95--101
\mathnet{http://mi.mathnet.ru/ftt12286}
\elib{https://elibrary.ru/item.asp?id=20322714}
\transl
\jour Phys. Solid State
\yr 2013
\vol 55
\issue 1
\pages 109--115
\crossref{https://doi.org/10.1134/S1063783413010241}
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  • https://www.mathnet.ru/eng/ftt/v55/i1/p95
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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