Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936

Russian Russian English English About Journal | Issues | Guidelines | Editorial Board | Contact Us
 


IssuesArchive of Issues2014-3pp.280-289

Archive of Issues

Total articles in the database: 11223
In Russian (Èçâ. ÐÀÍ. ÌÒÒ): 8011
In English (Mech. Solids): 3212

<< Previous article | Volume 49, Issue 3 / 2014 | Next article >>
B.A. Zhukov, "Inverse Problems of Determining the Shape of Incompressible Bodies under Finite Strains," Mech. Solids. 49 (3), 280-289 (2014)
Year 2014 Volume 49 Number 3 Pages 280-289
DOI 10.3103/S0025654414030042
Title Inverse Problems of Determining the Shape of Incompressible Bodies under Finite Strains
Author(s) B.A. Zhukov (Volgograd State Technical University, pr. Lenina 28, Volgograd, 400131 Russia, zhukov.b.a@gmail.com)
Abstract Transformations preserving the volume under finite strains are given for some classes of two-dimensional problems. Several settings of nonlinear elasticity problems meant for determining the shape of mechanical rubber objects from a given configuration in a strained state are proposed on the basis of these transformations. Two axisymmetric problems are solved as an example. In the first problem, we determine the shape of a rubber bushing in a combined rubber-metal joint which has a prescribed configuration in the assembled state. In the second problem, we determine the shape of the rubber element of a cylindrical compression damper in working state.
Keywords finite strain, hyperelasticity, incompressibility, shape determination
References
1.  R. Courant, Partial Differential Equations (Mir, Moscow, 1964) [in Russian].
2.  A. M. Bogoroditskii, "Axially Symmetric Problem of the Nonlinear Theory of Elasticity for an Incompressible Medium," Prikl. Mat. Mekh. 28 (3), 597-600 (1964) [J. Appl. Math. Mech. (Engl. Transl.) 28 (3), 736-740 (1964)].
3.  V. I. Arnold, Mathematical Methods of Classical Mechanics (Nauka, Moscow, 1974) [in Russian].
4.  A. I. Lurie, Nonlinear Theory of Elasticity (Nauka, Moscow, 1980) [in Russian].
Received 01 December 2011
Link to Fulltext
<< Previous article | Volume 49, Issue 3 / 2014 | Next article >>
Orphus SystemIf you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter

101 Vernadsky Avenue, Bldg 1, Room 246, 119526 Moscow, Russia (+7 495) 434-3538 mechsol@ipmnet.ru https://mtt.ipmnet.ru
Founders: Russian Academy of Sciences, Ishlinsky Institute for Problems in Mechanics RAS
© Mechanics of Solids
webmaster
Rambler's Top100