Indentation of rough-surfaced spherical punch into elastic transversely isotropic half-space with functionally-graded coating
Autor: | Andrey S. Vasiliev, Sergey S. Volkov, Evgeny V. Sadyrin, Alexander N. Litvinenko |
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Jazyk: | ruština |
Rok vydání: | 2016 |
Předmět: |
контакт
упругость сферический штамп шероховатость покрытие неоднородность функционально градиентные и слоистые материалы contact elasticity spherical punch roughness coating inhomogeneity functionally-graded and layered materials Materials of engineering and construction. Mechanics of materials TA401-492 |
Zdroj: | Advanced Engineering Research, Vol 16, Iss 4, Pp 29-35 (2016) |
Druh dokumentu: | article |
ISSN: | 2687-1653 |
DOI: | 10.12737/22147 |
Popis: | An axisymmetric contact problem of the elasticity theory of the rigid rough-surfaced spherical punch indentation into an elastic transversely isotropic half-space with the functionally-graded transversely isotropic coating is considered. Elastic moduli of the coating vary with depth according to the arbitrary continuous or piecewise constant independent functions. The technique based on the integral transformations is used to reduce the problem to the integral equation. The punch roughness is modeled by the Fourier-Bessel series. Special approximation for the kernel transform is used to obtain the approximated analytical solution to the integral equation. The resulting solution is asymptotically exact for both small and large values of the relative thickness of the coating. A method of construction of the compliance functions is presented for the case of the simultaneous action of the arbitrary axisymmetric normal and tangential loadings. |
Databáze: | Directory of Open Access Journals |
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