THREE-DIMENSIONAL CONTACT PROBLEM FOR A TRANSVERSELY ISOTROPIC SOLID
The spatial contact problem with an unknown contact domain is investigated for a transversely isotropic elastic half-space the boundary of which is perpendicular to the planes of isotropy. For a circular punch, the contact zone, as a rule, is not a circle because the stiffness of the elastic solid b...
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| Format: | Article |
| Language: | Russian |
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Don State Technical University
2013-12-01
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| Series: | Advanced Engineering Research |
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| Online Access: | https://www.vestnik-donstu.ru/jour/article/view/437 |
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| author | Dmitry Alexandrovich Pozharskiy David Borisovich Davtyan |
| author_facet | Dmitry Alexandrovich Pozharskiy David Borisovich Davtyan |
| author_sort | Dmitry Alexandrovich Pozharskiy |
| collection | DOAJ |
| description | The spatial contact problem with an unknown contact domain is investigated for a transversely isotropic elastic half-space the boundary of which is perpendicular to the planes of isotropy. For a circular punch, the contact zone, as a rule, is not a circle because the stiffness of the elastic solid boundary depends on the direction. The problem is reduced to an integral equation (IE) with respect to the contact pressure the kernel of which does not include quadratures. Galanov’s numerical method which makes it possible to determine simultaneously the contact zone and the contact pressure is used to solve the IE. The simple form of the IE kernel allows regularizing it by using a parameter which depends on mesh intervals as well as on anisotropy parameters. A well-known exact solution to a punch in the form of an elliptical paraboloid is used to verify the computer program. The numerical analysis has been made for different transversely isotropic materials contacting with conical and pyramidal punches. |
| format | Article |
| id | doaj-art-86230d7f5f2b41eda9cb3d3e337f7fe7 |
| institution | Kabale University |
| issn | 2687-1653 |
| language | Russian |
| publishDate | 2013-12-01 |
| publisher | Don State Technical University |
| record_format | Article |
| series | Advanced Engineering Research |
| spelling | doaj-art-86230d7f5f2b41eda9cb3d3e337f7fe72025-08-20T03:35:40ZrusDon State Technical UniversityAdvanced Engineering Research2687-16532013-12-01137-8222610.12737/2016430THREE-DIMENSIONAL CONTACT PROBLEM FOR A TRANSVERSELY ISOTROPIC SOLIDDmitry Alexandrovich Pozharskiy0David Borisovich Davtyan1Don State Technical University.Don State Technical University.The spatial contact problem with an unknown contact domain is investigated for a transversely isotropic elastic half-space the boundary of which is perpendicular to the planes of isotropy. For a circular punch, the contact zone, as a rule, is not a circle because the stiffness of the elastic solid boundary depends on the direction. The problem is reduced to an integral equation (IE) with respect to the contact pressure the kernel of which does not include quadratures. Galanov’s numerical method which makes it possible to determine simultaneously the contact zone and the contact pressure is used to solve the IE. The simple form of the IE kernel allows regularizing it by using a parameter which depends on mesh intervals as well as on anisotropy parameters. A well-known exact solution to a punch in the form of an elliptical paraboloid is used to verify the computer program. The numerical analysis has been made for different transversely isotropic materials contacting with conical and pyramidal punches.https://www.vestnik-donstu.ru/jour/article/view/437theory of elasticitycontact problemtransversely isotropic half-spacegalanov’s method. |
| spellingShingle | Dmitry Alexandrovich Pozharskiy David Borisovich Davtyan THREE-DIMENSIONAL CONTACT PROBLEM FOR A TRANSVERSELY ISOTROPIC SOLID Advanced Engineering Research theory of elasticity contact problem transversely isotropic half-space galanov’s method. |
| title | THREE-DIMENSIONAL CONTACT PROBLEM FOR A TRANSVERSELY ISOTROPIC SOLID |
| title_full | THREE-DIMENSIONAL CONTACT PROBLEM FOR A TRANSVERSELY ISOTROPIC SOLID |
| title_fullStr | THREE-DIMENSIONAL CONTACT PROBLEM FOR A TRANSVERSELY ISOTROPIC SOLID |
| title_full_unstemmed | THREE-DIMENSIONAL CONTACT PROBLEM FOR A TRANSVERSELY ISOTROPIC SOLID |
| title_short | THREE-DIMENSIONAL CONTACT PROBLEM FOR A TRANSVERSELY ISOTROPIC SOLID |
| title_sort | three dimensional contact problem for a transversely isotropic solid |
| topic | theory of elasticity contact problem transversely isotropic half-space galanov’s method. |
| url | https://www.vestnik-donstu.ru/jour/article/view/437 |
| work_keys_str_mv | AT dmitryalexandrovichpozharskiy threedimensionalcontactproblemforatransverselyisotropicsolid AT davidborisovichdavtyan threedimensionalcontactproblemforatransverselyisotropicsolid |