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
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IssuesArchive of Issues2008-5pp.579-587

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G.Z. Sharafutdinov, "Some applications of the Cauchy integral in problems of the deformation of thin plates," J. Appl. Math. Mech. 72 (5), 579-587 (2008)
Year 2008 Volume 72 Issue 5 Pages 579-587
Title Some applications of the Cauchy integral in problems of the deformation of thin plates
Author(s) G.Z. Sharafutdinov (Moscow, Russia, sharaf@imec.msu.ru)
Abstract Three complex potentials are used to obtain exact solutions of problems of the deformation of infinite thin plates of constant thickness with a circular or elliptical hole under uniaxial tension or under the action of internal pressure in three-dimensional setting. Solutions are sought using the Cauchy integral, which enables the solutions to be presented in finite form. The solutions obtained are compared with known solutions.
Received 27 November 2006
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