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Home » Issues » Archive of Issues » 2023 - 4 issue » pp. 659–674

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Russia Izhevsk
Year
2023
Volume
33
Issue
4
Pages
659–674
<<
Section Computer science
Title Method of solution composition in contact problems with friction of deformable bodies
Author(-s) Karavaev A.S.a, Kopysov S.P.a
Affiliations Udmurt State Universitya
Abstract A new iterative method for solving static contact problems of two deformable bodies is proposed. The method is based on alternately solving the unilateral contact problem for the first body and the linear elasticity problem with natural boundary conditions for the second body. Fulfillment of Coulomb's friction law involves correction of tangential nodal forces in the sliding area and setting kinematic boundary conditions in the sticking area for the contact boundary of the first body. The goal of solving the linear elasticity problem for the second body is to gradually equalize contact loads on the interacting surfaces. The advantages of the method are demonstrated by solving a number of model examples, including unilateral contact of a linear-elastic plate with a solid foundation, bilateral contact of pressing a deformable block into the foundation, the Hertz problem of contact of two deformable cylinders etc. The method can solve problems on flat and curvilinear contact boundaries.
Keywords contact problem, Coulomb's friction law, finite element method
UDC 519.63
MSC 65N55
DOI 10.35634/vm230408
Received 20 September 2023
Language Russian
Citation Karavaev A.S., Kopysov S.P. Method of solution composition in contact problems with friction of deformable bodies, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2023, vol. 33, issue 4, pp. 659–674.
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