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Preprints of the Keldysh Institute of Applied Mathematics, 2019, 087, 27 pp.
DOI: https://doi.org/10.20948/prepr-2019-87 (Mi ipmp2725) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical modeling of the contact problem for two elastic bodies with curvilinear boundaries on mismatched grids

P. S. Aronov, A. S. Rodin
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DOI: https://doi.org/10.20948/prepr-2019-87
Abstract: Algorithms for solving two-dimensional contact problems of the elasticity theory using mortar-method and domain decomposition method are considered. For the mortar-method the influence of the choice of master and slave bodies on the distribution of normal displacements and stresses on the contact line is investigated using the test problems with curvilinear boundaries. The influence of the contact boundaries geometry and the choice of the active body on the oscillations amplitude of displacements and stresses at using mismatched grids is discussed.
Keywords: contact problem of the elasticity theory, finite element method, mortar-method, domain decomposition method, successive over-relaxation method.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00252_а
18-31-20020_Стабильность
Bibliographic databases:
Document Type: Preprint
Language: Russian
Citation: P. S. Aronov, A. S. Rodin, “Mathematical modeling of the contact problem for two elastic bodies with curvilinear boundaries on mismatched grids”, Keldysh Institute preprints, 2019, 087, 27 pp.
Citation in format AMSBIB
\Bibitem{AroRod19}
\by P.~S.~Aronov, A.~S.~Rodin
\paper Mathematical modeling of the contact problem for two elastic bodies with curvilinear boundaries on mismatched grids
\jour Keldysh Institute preprints
\yr 2019
\papernumber 087
\totalpages 27
\mathnet{http://mi.mathnet.ru/ipmp2725}
\crossref{https://doi.org/10.20948/prepr-2019-87}
\elib{https://elibrary.ru/item.asp?id=39542823}
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  • https://www.mathnet.ru/eng/ipmp/y2019/p87
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Препринты Института прикладной математики им. М. В. Келдыша РАН
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