Indentation of rough-surfaced spherical punch into elastic transversely isotropic half-space with functionally-graded coating
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...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | Russian |
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Don State Technical University
2016-12-01
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| Series: | Advanced Engineering Research |
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| Online Access: | https://www.vestnik-donstu.ru/jour/article/view/112 |
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| _version_ | 1849408985439928320 |
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| author | Andrey S. Vasiliev Sergey S. Volkov Evgeny V. Sadyrin Alexander N. Litvinenko |
| author_facet | Andrey S. Vasiliev Sergey S. Volkov Evgeny V. Sadyrin Alexander N. Litvinenko |
| author_sort | Andrey S. Vasiliev |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-07c6dad8c4704b378ff60e828cfd84fe |
| institution | Kabale University |
| issn | 2687-1653 |
| language | Russian |
| publishDate | 2016-12-01 |
| publisher | Don State Technical University |
| record_format | Article |
| series | Advanced Engineering Research |
| spelling | doaj-art-07c6dad8c4704b378ff60e828cfd84fe2025-08-20T03:35:38ZrusDon State Technical UniversityAdvanced Engineering Research2687-16532016-12-01164293510.12737/22147112Indentation of rough-surfaced spherical punch into elastic transversely isotropic half-space with functionally-graded coatingAndrey S. Vasiliev0Sergey S. Volkov1Evgeny V. Sadyrin2Alexander N. Litvinenko3Don State Technical UniversityDon State Technical UniversityDon State Technical UniversitySouthern Federal UniversityAn 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.https://www.vestnik-donstu.ru/jour/article/view/112контактупругостьсферический штампшероховатостьпокрытиенеоднородностьфункционально градиентные и слоистые материалыcontactelasticityspherical punchroughnesscoatinginhomogeneityfunctionally-graded and layered materials |
| spellingShingle | Andrey S. Vasiliev Sergey S. Volkov Evgeny V. Sadyrin Alexander N. Litvinenko Indentation of rough-surfaced spherical punch into elastic transversely isotropic half-space with functionally-graded coating Advanced Engineering Research контакт упругость сферический штамп шероховатость покрытие неоднородность функционально градиентные и слоистые материалы contact elasticity spherical punch roughness coating inhomogeneity functionally-graded and layered materials |
| title | Indentation of rough-surfaced spherical punch into elastic transversely isotropic half-space with functionally-graded coating |
| title_full | Indentation of rough-surfaced spherical punch into elastic transversely isotropic half-space with functionally-graded coating |
| title_fullStr | Indentation of rough-surfaced spherical punch into elastic transversely isotropic half-space with functionally-graded coating |
| title_full_unstemmed | Indentation of rough-surfaced spherical punch into elastic transversely isotropic half-space with functionally-graded coating |
| title_short | Indentation of rough-surfaced spherical punch into elastic transversely isotropic half-space with functionally-graded coating |
| title_sort | indentation of rough surfaced spherical punch into elastic transversely isotropic half space with functionally graded coating |
| topic | контакт упругость сферический штамп шероховатость покрытие неоднородность функционально градиентные и слоистые материалы contact elasticity spherical punch roughness coating inhomogeneity functionally-graded and layered materials |
| url | https://www.vestnik-donstu.ru/jour/article/view/112 |
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