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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 1999, Volume 40, Issue 4, Pages 179–185 (Mi pmtf3122)  
This article is cited in 2 scientific papers (total in 2 papers)

Approximate method for solving a two-dimensional problem of elasticity theory

G. V. Druzhinin, N. M. Bodunov

Kazan’ State Technical University, Kazan’ 420111
Full-text PDF (538 kB) Citations (2)
Abstract: A numerical-analytical method based on approximation by harmonic or biharmonic functions is proposed for solving a mixed two-dimensional problem of elasticity theory. This method allows one to decrease the geometric dimensionality of the boundary-value problem by reducing it to minimization of the boundary residual. The resultant approximate analytical solution satisfies all equations of elasticity theory.
Received: 27.05.1996
Accepted: 08.07.1997
English version:
Journal of Applied Mechanics and Technical Physics, 1999, Volume 40, Issue 4, Pages 712–718
DOI: https://doi.org/10.1007/BF02468448
Document Type: Article
UDC: 531.01; 539.3
Language: Russian
Citation: G. V. Druzhinin, N. M. Bodunov, “Approximate method for solving a two-dimensional problem of elasticity theory”, Prikl. Mekh. Tekh. Fiz., 40:4 (1999), 179–185; J. Appl. Mech. Tech. Phys., 40:4 (1999), 712–718
Citation in format AMSBIB
\Bibitem{DruBod99}
\by G.~V.~Druzhinin, N.~M.~Bodunov
\paper Approximate method for solving a two-dimensional problem of elasticity theory
\jour Prikl. Mekh. Tekh. Fiz.
\yr 1999
\vol 40
\issue 4
\pages 179--185
\mathnet{http://mi.mathnet.ru/pmtf3122}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 1999
\vol 40
\issue 4
\pages 712--718
\crossref{https://doi.org/10.1007/BF02468448}
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  • https://www.mathnet.ru/eng/pmtf/v40/i4/p179
    • This publication is cited in the following 2 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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