 | | 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: | | 10482 |
| In Russian (ΟΜΜ): | | 9683
|
| In English (J. Appl. Math. Mech.): | | 799 |
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| S.M. Aizikovich, S.S. Volkov, and B.I. Mitrin, "The solution of a certain class of dual integral equations with the right-hand side in the form of a Fourier series and its application to the solution of contact problems for inhomogeneous media," J. Appl. Math. Mech. 81 (6), 486-491 (2017) |
| Year |
2017 |
Volume |
81 |
Issue |
6 |
Pages |
486-491 |
| DOI |
10.1016/j.jappmathmech.2018.03.018 |
| Title |
The solution of a certain class of dual integral equations with the right-hand side in the form of a Fourier series and its application to the solution of contact problems for inhomogeneous media |
| Author(s) |
S.M. Aizikovich (Don State Technical University, Rostov-on-Don, Russia, saizikovich@gmail.com)
S.S. Volkov (Don State Technical University, Rostov-on-Don, Russia)
B.I. Mitrin (Don State Technical University, Rostov-on-Don, Russia, bmitrin@dstu.edu.ru) |
| Abstract |
Using the bilateral asymptotic method, a semi-analytical solution of a dual integral equation with its right-hand side in the form of a Fourier series is constructed. This equation arises in the solution of a number of contact problems of elasticity theory for bodies with inhomogeneous coatings. The efficiency of the method is illustrated in the example of the solution of the plane contact problem on bending of a beam lying on a functionally graded strip with arbitrary variation of the elastic moduli with depth. It is assumed that the strip is perfectly bonded to an elastic half-plane. Numerical results are presented for a strip whose Young's modulus varies harmonically with depth. In this case, Young's modulus of the substrate is 100 times greater than at the lower boundary of the coating. |
| Keywords |
functionally graded |
| Received |
19 November 2015 |
| Link to Fulltext |
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