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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2017, Volume 20, Number 1, Pages 77–90
DOI: https://doi.org/10.15372/SJNM20170107 (Mi sjvm637) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Numerical simulation of the equilibrium of an elastic two-layer structure with a crack

E. M. Rudoy, N. A. Kazarinov, V. Yu. Slesarenko

Lavrentyev Institute of Hydrodynamics of SB RAS, pr. Acad. Lavrentieva, 15, Novosibirsk, 630090, Russia
Full-text PDF (966 kB) Citations (11)
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DOI: https://doi.org/10.15372/SJNM20170107
Abstract: The equilibrium problem for two elastic bodies pasted together along some curve is considered. There exists a crack on a part of the curve. Nonlinear boundary conditions providing a mutual non-penetration between crack faces are set. The main objective of the paper is to construct and to approve an algorithm for the numerical solution of the equilibrium problem. The algorithm is based on the two approaches: the domain decomposition method and the Uzawa method. The numerical experiment illustrates the efficiency of the algorithm.
Key words: two-layer structure, crack, non-penetration condition, variational inequality, domain decomposition method, Uzawa algorithm.
Funding agency Grant number
Russian Science Foundation 15-11-10000
Received: 28.04.2016
Revised: 07.06.2016
English version:
Numerical Analysis and Applications, 2017, Volume 10, Issue 1, Pages 63–73
DOI: https://doi.org/10.1134/S1995423917010074
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: E. M. Rudoy, N. A. Kazarinov, V. Yu. Slesarenko, “Numerical simulation of the equilibrium of an elastic two-layer structure with a crack”, Sib. Zh. Vychisl. Mat., 20:1 (2017), 77–90; Num. Anal. Appl., 10:1 (2017), 63–73
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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