 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
|
| In English (Mech. Solids): | | 3212 |
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| O.M. Jokhadze, S.S. Kharibegashvili, and N.N. Shavlakadze, "Contact Interaction of a Plate with a Nonlinear Elastic Stringer," Mech. Solids. 54 (3), 440-447 (2019) |
| Year |
2019 |
Volume |
54 |
Number |
3 |
Pages |
440-447 |
| DOI |
10.3103/S0025654419020080 |
| Title |
Contact Interaction of a Plate with a Nonlinear Elastic Stringer |
| Author(s) |
O.M. Jokhadze (Andrea Razmadze Mathematical Institute of the I. Javakhishvili Tbilisi State University, Tamarashvili st. 6, Tbilisi, 0186 Georgia)
S.S. Kharibegashvili (Andrea Razmadze Mathematical Institute of the I. Javakhishvili Tbilisi State University, Tamarashvili st. 6, Tbilisi, 0186 Georgia)
N.N. Shavlakadze (Andrea Razmadze Mathematical Institute of the I. Javakhishvili Tbilisi State University, Tamarashvili st. 6, Tbilisi, 0186 Georgia, nusha@rmi.ge, nusha1961@yahoo.com) |
| Abstract |
A problem for determining the mechanical field in a homogeneous half-plane supported by a finite homogeneous stringer, material of which obeys the nonlinear Hooke law, is considered. The posed problem is reduced to a nonlinear singular integro-differential equation. Using the Schauder fixed-point theorem, the existence of a solution for this equation is proved. Using the small parameter method, a system of recurrence linear singular integral equations of the first kind is obtained. |
| Keywords |
contact problem, nonlinear integro-differential equation, Schauder theorem, small parameter method |
| Received |
10 June 2017 |
| Link to Fulltext |
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