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This article is cited in 12 scientific papers (total in 12 papers)
Solution of a contact elasticity problem with a rigid inclusion
R. V. Nammab, G. I. Tsoia a Computing Center, Far Eastern Branch, Russian Academy of Sciences, Khabarovsk, 680000 Russia
b Pacific State University, Khabarovsk, 680035 Russia
Abstract:
An equilibrium problem for an elastic body containing a rigid inclusion is solved. There is a delamination crack on a portion of the interface between the inclusion and the elastic body. Mutual nonpenetration conditions are set on the crack faces. According to the solution method, the problem with a rigid inclusion can be treated as a limit one for a family of problems with a crack. A numerical method relying on a modified duality scheme and the Uzawa algorithm is proposed for solving the problem. FEM-based numerical results are presented.
Key words:
nonpenetration condition, rigid inclusion, crack, duality scheme, modified Lagrangian functional, generalized Newton method.
Received: 24.11.2017 Revised: 14.11.2018 Accepted: 14.11.2018
Citation:
R. V. Namm, G. I. Tsoi, “Solution of a contact elasticity problem with a rigid inclusion”, Zh. Vychisl. Mat. Mat. Fiz., 59:4 (2019), 699–706; Comput. Math. Math. Phys., 59:4 (2019), 659–666
Linking options:
https://www.mathnet.ru/eng/zvmmf10884 https://www.mathnet.ru/eng/zvmmf/v59/i4/p699
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Abstract page: | 165 | References: | 15 |
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