 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10512 |
| In Russian (ΟΜΜ): | | 9713
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| In English (J. Appl. Math. Mech.): | | 799 |
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| N.N. Shavlakadze, "Contact problem of electroelasticity for a piecewise homogeneous piezoelectric plate with an elastic coating," J. Appl. Math. Mech. 81 (3), 228-235 (2017) |
| Year |
2017 |
Volume |
81 |
Issue |
3 |
Pages |
228-235 |
| DOI |
10.1016/j.jappmathmech.2017.08.015 |
| Title |
Contact problem of electroelasticity for a piecewise homogeneous piezoelectric plate with an elastic coating |
| Author(s) |
N.N. Shavlakadze (Tbilisi State University, A. Razmadze Mathematical Institute, Georgian Technical University, Tbilisi, Georgia, nusha@rmi.ge) |
| Abstract |
The problem of determining the mechanical and electric fields in a piecewise homogeneous piezoelectric medium reinforced by a finite or semi-infinite coating is considered. Applying methods from the theory of analytic functions, the problem reduces to a singular integrodifferential equation with a fixed singularity. Using an integral transformation, a boundary value problem with shift (Riemann boundary value problem) is obtained, the solutions of which are represented in explicit form. On the basis of the solution obtained, an asymptotic study of contact stresses at end points (singular points) of the coating is performed. |
| Received |
22 April 2016 |
| Link to Fulltext |
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