 | | 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 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| 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 |
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