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 Issues2012-4pp.482-485

Archive of Issues

Total articles in the database: 10482
In Russian (ΟΜΜ): 9683
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K. Majidzadeh, M.M. Mutallimov, and A.A. Niftiyev, "The problem of optimizing the torsional rigidity of a prismatic body about a cross section," J. Appl. Math. Mech. 76 (4), 482-485 (2012)
Year 2012 Volume 76 Issue 4 Pages 482-485
Title The problem of optimizing the torsional rigidity of a prismatic body about a cross section
Author(s) K. Majidzadeh (Baku, Azerbaijan, kambiz823@yahoo.com)
M.M. Mutallimov (Baku, Azerbaijan, mutallim@mail.ru)
A.A. Niftiyev (Baku, Azerbaijan, aniftiyev@yahoo.com)
Abstract Some extremal problems, related to the torsional rigidity of a homogeneous body, are investigated. The problem of optimizing the torsional rigidity of a cylindrical body about a cross section is solved by determining the variation of the region when using the one-to-one correspondence between bounded convex regions and continuous positive-homogeneous convex functions. Using this approach a formula is obtained for the torsional rigidity, and conditions are also obtained characterizing the optimum region and the maximum value of the functional.
Received 27 August 2010
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