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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 4, Pages 699–706
DOI: https://doi.org/10.1134/S0044466919040136 (Mi zvmmf10884) 		 
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
Citations (12)
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DOI: https://doi.org/10.1134/S0044466919040136
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.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00682_а
This work was supported by the Russian Foundation for Basic Research, project no. 17-01-00682A.
Received: 24.11.2017
Revised: 14.11.2018
Accepted: 14.11.2018
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 4, Pages 659–666
DOI: https://doi.org/10.1134/S0965542519040134
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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