Interaction of punches on orthotropic half-space
An integral equation of the three-dimensional contact problem for an orthotropic half-space (9 independent elastic parameters in Hooke’s law) is obtained where its kernel does not include integrals, but it depends on the solution of a characteristic binary cubic. The interaction between two identica...
| Main Authors: | , |
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| Format: | Article |
| Language: | Russian |
| Published: |
Don State Technical University
2016-09-01
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| Series: | Advanced Engineering Research |
| Subjects: | |
| Online Access: | https://www.vestnik-donstu.ru/jour/article/view/91 |
| _version_ | 1797881350769868800 |
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| author | Dmitry A. Pozharskiy Tatiana G. Yurushkina |
| author_facet | Dmitry A. Pozharskiy Tatiana G. Yurushkina |
| author_sort | Dmitry A. Pozharskiy |
| collection | DOAJ |
| description | An integral equation of the three-dimensional contact problem for an orthotropic half-space (9 independent elastic parameters in Hooke’s law) is obtained where its kernel does not include integrals, but it depends on the solution of a characteristic binary cubic. The interaction between two identical symmetrically embedded punches is considered for the case of the elliptic paraboloids. Galanov’s method of nonlinear boundary integral equations is used for solving the problem with an unknown contact domain that makes it possible to determine simultaneously the contact domain and the contact pressure. The exact solution to one elliptical punch is used for debugging the computer program. Contact pressures, contact zones and pressing forces are calculated for various orthotropic materials at the specified settlement, base forms of the punches, and relative distances between the punches. The orthotropic body model is applicable for describing lots of materials which are in-demand in the machinery and industry: sulfur, Rochelle salt, wolframite, barite, and various wood species. |
| first_indexed | 2024-04-10T03:18:46Z |
| format | Article |
| id | doaj.art-3b249581ae7346c3a9024c89f473a043 |
| institution | Directory Open Access Journal |
| issn | 2687-1653 |
| language | Russian |
| last_indexed | 2024-04-10T03:18:46Z |
| publishDate | 2016-09-01 |
| publisher | Don State Technical University |
| record_format | Article |
| series | Advanced Engineering Research |
| spelling | doaj.art-3b249581ae7346c3a9024c89f473a0432023-03-13T07:31:26ZrusDon State Technical UniversityAdvanced Engineering Research2687-16532016-09-011635910.12737/2021991Interaction of punches on orthotropic half-spaceDmitry A. Pozharskiy0Tatiana G. Yurushkina1Донской государственный технический университетДонской государственный технический университетAn integral equation of the three-dimensional contact problem for an orthotropic half-space (9 independent elastic parameters in Hooke’s law) is obtained where its kernel does not include integrals, but it depends on the solution of a characteristic binary cubic. The interaction between two identical symmetrically embedded punches is considered for the case of the elliptic paraboloids. Galanov’s method of nonlinear boundary integral equations is used for solving the problem with an unknown contact domain that makes it possible to determine simultaneously the contact domain and the contact pressure. The exact solution to one elliptical punch is used for debugging the computer program. Contact pressures, contact zones and pressing forces are calculated for various orthotropic materials at the specified settlement, base forms of the punches, and relative distances between the punches. The orthotropic body model is applicable for describing lots of materials which are in-demand in the machinery and industry: sulfur, Rochelle salt, wolframite, barite, and various wood species.https://www.vestnik-donstu.ru/jour/article/view/91теория упругостиконтактные задачиортотропное полупространствовзаимодействие штамповelasticity theorycontact problemsorthotropic half-spaceinteracting of punches |
| spellingShingle | Dmitry A. Pozharskiy Tatiana G. Yurushkina Interaction of punches on orthotropic half-space Advanced Engineering Research теория упругости контактные задачи ортотропное полупространство взаимодействие штампов elasticity theory contact problems orthotropic half-space interacting of punches |
| title | Interaction of punches on orthotropic half-space |
| title_full | Interaction of punches on orthotropic half-space |
| title_fullStr | Interaction of punches on orthotropic half-space |
| title_full_unstemmed | Interaction of punches on orthotropic half-space |
| title_short | Interaction of punches on orthotropic half-space |
| title_sort | interaction of punches on orthotropic half space |
| topic | теория упругости контактные задачи ортотропное полупространство взаимодействие штампов elasticity theory contact problems orthotropic half-space interacting of punches |
| url | https://www.vestnik-donstu.ru/jour/article/view/91 |
| work_keys_str_mv | AT dmitryapozharskiy interactionofpunchesonorthotropichalfspace AT tatianagyurushkina interactionofpunchesonorthotropichalfspace |