 | | 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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| Shavlakadze N.N., Jokhadze O.M., and Kharibegashvili S.S., "Contact Problems for Elastic Plates with Finite-Length Nonlinearly Deformable Stringers Glued to Their Boundaries," Mech. Solids. 55 (8), 1415-1422 (2020) |
| Year |
2020 |
Volume |
55 |
Number |
8 |
Pages |
1415-1422 |
| DOI |
10.3103/S0025654420080269 |
| Title |
Contact Problems for Elastic Plates with Finite-Length Nonlinearly Deformable Stringers Glued to Their Boundaries |
| Author(s) |
Shavlakadze N.N. (Tbilisi State University, Pazmadze Mathematical Institute, Tbilisi, 0179 Georgia, nusha1961@yahoo.com)
Jokhadze O.M. (Tbilisi State University, Pazmadze Mathematical Institute, Tbilisi, 0179 Georgia)
Kharibegashvili S.S. (Tbilisi State University, Pazmadze Mathematical Institute, Tbilisi, 0179 Georgia) |
| Abstract |
The problem to determine the mechanical field in a homogeneous half-plane supported by
a finite homogeneous stringer, material of which obeys the nonlinear Hooke’s law, is considered. The
contact between the plate and stringer is realized by a thin glue layer. The posed problem is reduced to
a nonlinear singular integrodifferential equation. Using the Schauder fixed-point principle, we prove
the existence of a solution to this equation. The uniqueness of the solution of the problem is proved.
Using the small-parameter method, we obtain a system of recurrence linear singular integral equations
of the first kind. |
| Keywords |
contact problem, nonlinear integrodifferential equation, Schauder principle, small-parameter method |
| Received |
10 October 2019 | Revised |
04 July 2020 | Accepted |
15 July 2020 |
| Link to Fulltext |
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