| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 791484 | Journal of Applied Mathematics and Mechanics | 2012 | 4 Pages |
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.
Related Topics
Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
K. Majidzadeh, M.M. Mutallimov, A.A. Niftiyev,