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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2006, Volume 47, Issue 2, Pages 85–94 (Mi pmtf2132)  

Second-order Fredholm equations for the first boundary-value problem in the two-dimensional anisotropic theory of elasticity

Yu. A. Bogan

Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia
Abstract: A complete potential theory is constructed for the first boundary-value problem in the two-dimensional anisotropic theory of elasticity (the force vector is specified on the boundary) in a bounded domain on a plane with a Lyapunov boundary.
Keywords: theory of elasticity, Fredholm equation.
Received: 18.04.2005
English version:
Journal of Applied Mechanics and Technical Physics, 2006, Volume 47, Issue 2, Pages 221–228
DOI: https://doi.org/10.1007/s10808-006-0046-8
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: Yu. A. Bogan, “Second-order Fredholm equations for the first boundary-value problem in the two-dimensional anisotropic theory of elasticity”, Prikl. Mekh. Tekh. Fiz., 47:2 (2006), 85–94; J. Appl. Mech. Tech. Phys., 47:2 (2006), 221–228
Citation in format AMSBIB
\Bibitem{Bog06}
\by Yu.~A.~Bogan
\paper Second-order Fredholm equations for the first boundary-value problem in the two-dimensional anisotropic theory of elasticity
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2006
\vol 47
\issue 2
\pages 85--94
\mathnet{http://mi.mathnet.ru/pmtf2132}
\elib{https://elibrary.ru/item.asp?id=16515865}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2006
\vol 47
\issue 2
\pages 221--228
\crossref{https://doi.org/10.1007/s10808-006-0046-8}
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