| Issue |
MATEC Web Conf.
Volume 226, 2018
XIV International Scientific-Technical Conference “Dynamic of Technical Systems” (DTS-2018)
|
|
|---|---|---|
| Article Number | 03018 | |
| Number of page(s) | 5 | |
| Section | 3 Issues of creation and mechanics of heterogeneous and composite materials | |
| DOI | https://doi.org/10.1051/matecconf/201822603018 | |
| Published online | 07 November 2018 | |
Contact problem on indentation of an elastic half-plane with functionally-graded coating in presence of tangential stresses on the surface
Research and Education Center “Materials”, Don State Technical University, 344000 Rostov-on-Don, Russia
* Corresponding author: fenix_rsu@mail.ru
Plane contact problem on indentation of an elastic half-plane with functionally graded coating by a parabolic punch is considered. The surface of the half-plane is additionally subjected to distributed tangential stresses in a certain region different from contact area. The contact area is assumed to be asymmetric with respect to the center of the punch. Tangential stresses are represented in the form of Fourier series. The problem is reduced to the solution of two dual integral equations over even and odd functions describing distribution of normal contact stresses. The bilateral asymptotic method is used to solve these equations. Approximated analytical solutions asymptotically exact for both the small and large values of relative coating thickness are constructed.
© The Authors, published by EDP Sciences, 2018
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