A Kind of FM-BEM Penalty Function Method for a 3D Elastic Frictional Contact Nonlinear System
In this paper, a kind of node_face frictional contact FM-BEM penalty function method is presented for 3D elastic frictional contact nonlinear problems. According to the principle of minimum potential energy, nonpenetrating constraints are introduced into the elastic frictional contact system as a pe...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6626647 |
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| author | Chunxiao Yu Dinghui Jing Chang Fu Yanfang Yang |
| author_facet | Chunxiao Yu Dinghui Jing Chang Fu Yanfang Yang |
| author_sort | Chunxiao Yu |
| collection | DOAJ |
| description | In this paper, a kind of node_face frictional contact FM-BEM penalty function method is presented for 3D elastic frictional contact nonlinear problems. According to the principle of minimum potential energy, nonpenetrating constraints are introduced into the elastic frictional contact system as a penalty term. By using the least square method and penalty function method, an optimization mathematical model and a mathematical programming model with a penalty factor are established for the node_face frictional contact nonlinear system. For the two models, a penalty optimization IGMRES (m) algorithm is proposed, and the influences of different penalty factors on the solution of the whole system are analyzed. Finally, a numerical simulation is carried out for two elastic frictional contact objects, and some important results including displacements, pressures, friction forces, and friction slips in the contact area are presented. Theoretical analysis and numerical experiment show that the newly presented FM-BEM penalty function method not only is efficient and practical but also has much superiority. It is easy to implement, and it is fast convergent with good stability. |
| format | Article |
| id | doaj-art-545f6fe1414b4a6684b1b6ee54695a8d |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-545f6fe1414b4a6684b1b6ee54695a8d2025-02-03T01:20:49ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66266476626647A Kind of FM-BEM Penalty Function Method for a 3D Elastic Frictional Contact Nonlinear SystemChunxiao Yu0Dinghui Jing1Chang Fu2Yanfang Yang3School of Science, Yanshan University, No. 438 West Hebei Avenue, Qinhuangdao 066004, Hebei, ChinaSchool of Science, Yanshan University, No. 438 West Hebei Avenue, Qinhuangdao 066004, Hebei, ChinaSchool of Science, Yanshan University, No. 438 West Hebei Avenue, Qinhuangdao 066004, Hebei, ChinaSchool of Science, Yanshan University, No. 438 West Hebei Avenue, Qinhuangdao 066004, Hebei, ChinaIn this paper, a kind of node_face frictional contact FM-BEM penalty function method is presented for 3D elastic frictional contact nonlinear problems. According to the principle of minimum potential energy, nonpenetrating constraints are introduced into the elastic frictional contact system as a penalty term. By using the least square method and penalty function method, an optimization mathematical model and a mathematical programming model with a penalty factor are established for the node_face frictional contact nonlinear system. For the two models, a penalty optimization IGMRES (m) algorithm is proposed, and the influences of different penalty factors on the solution of the whole system are analyzed. Finally, a numerical simulation is carried out for two elastic frictional contact objects, and some important results including displacements, pressures, friction forces, and friction slips in the contact area are presented. Theoretical analysis and numerical experiment show that the newly presented FM-BEM penalty function method not only is efficient and practical but also has much superiority. It is easy to implement, and it is fast convergent with good stability.http://dx.doi.org/10.1155/2021/6626647 |
| spellingShingle | Chunxiao Yu Dinghui Jing Chang Fu Yanfang Yang A Kind of FM-BEM Penalty Function Method for a 3D Elastic Frictional Contact Nonlinear System Journal of Mathematics |
| title | A Kind of FM-BEM Penalty Function Method for a 3D Elastic Frictional Contact Nonlinear System |
| title_full | A Kind of FM-BEM Penalty Function Method for a 3D Elastic Frictional Contact Nonlinear System |
| title_fullStr | A Kind of FM-BEM Penalty Function Method for a 3D Elastic Frictional Contact Nonlinear System |
| title_full_unstemmed | A Kind of FM-BEM Penalty Function Method for a 3D Elastic Frictional Contact Nonlinear System |
| title_short | A Kind of FM-BEM Penalty Function Method for a 3D Elastic Frictional Contact Nonlinear System |
| title_sort | kind of fm bem penalty function method for a 3d elastic frictional contact nonlinear system |
| url | http://dx.doi.org/10.1155/2021/6626647 |
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