Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)


For citation:

Aizikovich S. M., Krenev L. I., Трубчик И. С. The Contact Problems for the Elastic Foundation with the Functionally Graded Coatings of the Complicated Structure. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2009, vol. 9, iss. 4, pp. 3-8. DOI: 10.18500/1816-9791-2009-9-4-2-3-8

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
23.12.2009
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Russian
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UDC: 
539.3

The Contact Problems for the Elastic Foundation with the Functionally Graded Coatings of the Complicated Structure

Автор:
Импортов Импорт Импортович
Autors: 
Aizikovich Sergey M., Don State Technical University
Krenev Leonid Ivanovich, Don State Technical University
Трубчик Ирина Степановна, Don State Technical University
Abstract: 

The contact problemfor the impression of axisymmetrical indenter into a functional graded elastic half-space is considered. Analytical methods for solving this problem have been developed. It is assumed that the indenter has a parabolic shape and contact between the indenter and the coating is smooth. The used method make it possible to find the analytical asymptotically exact problem solution. The stress-strain state of the coating is analyzed due to numerical experiment with the coatings which elastic modula are described with continuously smooth non-monotonic function with the changing of derivation sight is finite into the coating.

Key words: 
References: 
  1. Айзикович С.М. Сдвиг штампом упругого неоднородного полупространства специального вида // Изв. АН СССР. Механика твердого тела. 1978. № 5. С. 74–80.
  2. Айзикович С.М., Кренев Л.И., Трубчик И.С. Асимптотическое решение задачи о внедрении сферического индентора в неоднородное по глубине полупространство // Изв. РАН. Механика твердого тела. 2000. № 5. С. 107–117.
Received: 
14.08.2009
Accepted: 
22.10.2009
Published: 
23.12.2009