3D CONTACT PROBLEM ON INTERACTION BETWEEN FLEXIBLE WEDGE AND TWO PUNCHES UNDER FRICTION
The spatial contact problem for the flexible wedge is investigated in the quasi-static formulation when two identical elliptic rigid punches are symmetrically impressed into one face of the wedge under friction. The other wedge face is stress-free. The contact domain is accepted unknown. The motion...
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| Format: | Article |
| Language: | Russian |
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Don State Technical University
2012-11-01
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| Series: | Advanced Engineering Research |
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| Online Access: | https://www.vestnik-donstu.ru/jour/article/view/645 |
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| author | Dmitry Alexandrovich Pozharskiy Anatoly Sergeyevich Polyakov |
| author_facet | Dmitry Alexandrovich Pozharskiy Anatoly Sergeyevich Polyakov |
| author_sort | Dmitry Alexandrovich Pozharskiy |
| collection | DOAJ |
| description | The spatial contact problem for the flexible wedge is investigated in the quasi-static formulation when two identical elliptic rigid punches are symmetrically impressed into one face of the wedge under friction. The other wedge face is stress-free. The contact domain is accepted unknown. The motion of the punches perpendicular to the edge of the wedge is considered. In this case the punches can move either towards the edge or from the edge. Using the known Green function for the three-dimensional wedge, the contact problem is reduced to the integral equation with respect to the contact pressure. Galanov’s method is used for solving the integral equation which permits to determine the contact domain and the contact pressure simultaneously. The numerical analysis is made for different values of the friction coefficient, wedge angle, and the distance between the punches. |
| format | Article |
| id | doaj-art-03a13ae09292474daaedf3dc0321adfc |
| institution | DOAJ |
| issn | 2687-1653 |
| language | Russian |
| publishDate | 2012-11-01 |
| publisher | Don State Technical University |
| record_format | Article |
| series | Advanced Engineering Research |
| spelling | doaj-art-03a13ae09292474daaedf3dc0321adfc2025-08-20T03:18:52ZrusDon State Technical UniversityAdvanced Engineering Research2687-16532012-11-0112721266373D CONTACT PROBLEM ON INTERACTION BETWEEN FLEXIBLE WEDGE AND TWO PUNCHES UNDER FRICTIONDmitry Alexandrovich Pozharskiy0Anatoly Sergeyevich Polyakov1Don State Technical University.Don State Technical University.The spatial contact problem for the flexible wedge is investigated in the quasi-static formulation when two identical elliptic rigid punches are symmetrically impressed into one face of the wedge under friction. The other wedge face is stress-free. The contact domain is accepted unknown. The motion of the punches perpendicular to the edge of the wedge is considered. In this case the punches can move either towards the edge or from the edge. Using the known Green function for the three-dimensional wedge, the contact problem is reduced to the integral equation with respect to the contact pressure. Galanov’s method is used for solving the integral equation which permits to determine the contact domain and the contact pressure simultaneously. The numerical analysis is made for different values of the friction coefficient, wedge angle, and the distance between the punches.https://www.vestnik-donstu.ru/jour/article/view/645theory of elasticitycontact problemwedgefrictiongalanov’s method. |
| spellingShingle | Dmitry Alexandrovich Pozharskiy Anatoly Sergeyevich Polyakov 3D CONTACT PROBLEM ON INTERACTION BETWEEN FLEXIBLE WEDGE AND TWO PUNCHES UNDER FRICTION Advanced Engineering Research theory of elasticity contact problem wedge friction galanov’s method. |
| title | 3D CONTACT PROBLEM ON INTERACTION BETWEEN FLEXIBLE WEDGE AND TWO PUNCHES UNDER FRICTION |
| title_full | 3D CONTACT PROBLEM ON INTERACTION BETWEEN FLEXIBLE WEDGE AND TWO PUNCHES UNDER FRICTION |
| title_fullStr | 3D CONTACT PROBLEM ON INTERACTION BETWEEN FLEXIBLE WEDGE AND TWO PUNCHES UNDER FRICTION |
| title_full_unstemmed | 3D CONTACT PROBLEM ON INTERACTION BETWEEN FLEXIBLE WEDGE AND TWO PUNCHES UNDER FRICTION |
| title_short | 3D CONTACT PROBLEM ON INTERACTION BETWEEN FLEXIBLE WEDGE AND TWO PUNCHES UNDER FRICTION |
| title_sort | 3d contact problem on interaction between flexible wedge and two punches under friction |
| topic | theory of elasticity contact problem wedge friction galanov’s method. |
| url | https://www.vestnik-donstu.ru/jour/article/view/645 |
| work_keys_str_mv | AT dmitryalexandrovichpozharskiy 3dcontactproblemoninteractionbetweenflexiblewedgeandtwopunchesunderfriction AT anatolysergeyevichpolyakov 3dcontactproblemoninteractionbetweenflexiblewedgeandtwopunchesunderfriction |