Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version)

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IssuesArchive of Issues2015-6pp.618-621

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D.V. Georgievskii, "An extended Galerkin representation for a transversely isotropic linearly elastic medium," J. Appl. Math. Mech. 79 (6), 618-621 (2015)
Year 2015 Volume 79 Issue 6 Pages 618-621
DOI 10.1016/j.jappmathmech.2016.04.010
Title An extended Galerkin representation for a transversely isotropic linearly elastic medium
Author(s) D.V. Georgievskii (M.V. Lomonosov Moscow State University, Moscow, Russia, georgiev@mech.math.msu.su)
Abstract An algorithm for splitting an equilibrium displacement equation system with bulk forces for a transversely isotropic linearly-elastic medium is described that leads to three uncoupled equations with certain canonical fourth-order differential operators in the three components of the displacement vector. It is shown that, in the special case of isotropy, the proposed algorithm is mathematically equivalent to the Galerkin representation, well-known in the theory of elasticity.
Received 26 February 2015
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