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 Issues2009-1pp.57-61

Archive of Issues

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

<< Previous article | Volume 44, Issue 1 / 2009 | Next article >>
V. Yu. Salamatova, "Interaction of a deformable patch with a stressed strip," Mech. Solids. 44 (1), 57-61 (2009)
Year 2009 Volume 44 Number 1 Pages 57-61
DOI 10.3103/S0025654409010051
Title Interaction of a deformable patch with a stressed strip
Author(s) V. Yu. Salamatova (Lomonosov Moscow State University, GSP-2, Leninskie Gory, Moscow, 119992, Russia, salamatova@inbox.ru)
Abstract We consider the plane problem on the contact interaction of an elastic patch with an elastic strip loaded at infinity by a tensile force parallel to the strip boundaries. We assume that the patch resists extension and does not resist bending. We determine the contact tangential stresses under the patch, the patch point displacements, and the strip strain distortion factor. The problem is solved by the regular asymptotic method of "large λ" and the method of special orthonormal polynomials.

In plane problems, the method of "large λ" was first used in [1], and the method of special orthonormal polynomials was first used in [2].
References
1.  V. M. Alexandrov, "On the Approximate Solution of a Certain Type of Integral Equation," Prikl. Mat. Mekh. 26(5), 934-943 (1962) [J. Appl. Math. Mech. (Engl. Transl.) 26 (5), 1410-1424 (1962)].
2.  V. M. Alexandrov, I. I. Vorovich, and M. D. Solodovnik, "Effective Solution to the Problem of Cylindrical Bending of a Plate of Finite Width on a Cylindrical Half-Space," Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela, No. 4, 129-138 (1973) [Mech. Solids (Engl. Transl.) 8 (4), 117-124 (1973)]
3.  V.M. Alexandrov and S.M. Mkhitaryan, Contact Problems for Bodies with Thin Coatings and Interlayers (Nauka, Moscow, 1983) [in Russian].
4.  Ya. S. Ufland, Integral Transforms in Elasticity Problems (Nauka, Leningrad, 1967) [in Russian].
5.  V. M. Alexandrov and E. V. Kovalenko, Problems with Mixed Boundary Conditions in Continuum Mechanics (Nauka, Moscow, 1986) [in Russian].
6.  L. V. Kantorovich and V. I. Krylov, Approximate Methods of Higher Analysis (Fizmatgiz, Moscow-Leningrad, 1962; Interscience, New York, 1964).
7.  I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums, Series, and Products (Fizmatgiz, Moscow, 1962) [in Russian].
8.  L. A. Lyusternik and V. I. Sobolev, Elements of Functional Analysis (Nauka, Moscow, 1965; Hindustan Publishing Corp., Delhi, 1974; Halsted Press, New York, 1974).
Received 12 December 2006
Link to Fulltext
<< Previous article | Volume 44, Issue 1 / 2009 | 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