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