Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
in January 1966
Issued 6 times a year
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IssuesArchive of Issues2019-3pp.440-447

Archive of Issues

Total articles in the database: 9179
In Russian (. . ): 6485
In English (Mech. Solids): 2694

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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 https://link.springer.com/article/10.3103/S0025654419020080
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