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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2006, Volume 47, Issue 2, Pages 95–102 (Mi pmtf2133)  
This article is cited in 6 scientific papers (total in 6 papers)

Affine transforms of three-dimensional anisotropic media and explicit formulas for fundamental matrices

S. Langera, S. A. Nazarovb, M. Specovius-Neugebauera

a Kassel University, Kassel, 34132, Germany
b Institute of Mechanical Engineering Problems, Russian Academy of Sciences, St. Petersburg, 199178, Russia
Full-text PDF (230 kB) Citations (6)
Abstract: The concept of classes of algebraically equivalent anisotropic three-dimensional media is introduced: elastic fields in such media are related by simple algebraic expressions. An explicit formula is obtained for a fundamental matrix with ten free constants in the elastic modulus tensor (rather than for five free constants, as in the famous case of transverse isotropy). A hypothesis is formulated and several questions are posed, which are related to the notion of algebraic equivalence under discussion.
Keywords: affine transform, three-dimensional system of equations of the elasticity theory, fundamental matrix.
Received: 29.12.2004
English version:
Journal of Applied Mechanics and Technical Physics, 2006, Volume 47, Issue 2, Pages 229–235
DOI: https://doi.org/10.1007/s10808-006-0047-7
Bibliographic databases:
Document Type: Article
UDC: 539.375
Language: Russian
Citation: S. Langer, S. A. Nazarov, M. Specovius-Neugebauer, “Affine transforms of three-dimensional anisotropic media and explicit formulas for fundamental matrices”, Prikl. Mekh. Tekh. Fiz., 47:2 (2006), 95–102; J. Appl. Mech. Tech. Phys., 47:2 (2006), 229–235
Citation in format AMSBIB
\Bibitem{LanNazSpe06}
\by S.~Langer, S.~A.~Nazarov, M.~Specovius-Neugebauer
\paper Affine transforms of three-dimensional anisotropic media and explicit formulas for fundamental matrices
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2006
\vol 47
\issue 2
\pages 95--102
\mathnet{http://mi.mathnet.ru/pmtf2133}
\elib{https://elibrary.ru/item.asp?id=16515866}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2006
\vol 47
\issue 2
\pages 229--235
\crossref{https://doi.org/10.1007/s10808-006-0047-7}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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