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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2017, Volume 58, Issue 2, Pages 133–140
DOI: https://doi.org/10.15372/PMTF20170214 (Mi pmtf732) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Block element method for solving integrated equations of contact problems in wedge-shaped domains

V. A. Babeshkoa, O. V. Evdokimovaa, O. M. Babeshkob, A. G. Fedorenkoa

a Southern Scientific Center of the Russian Academy of Sciences, Rostov-on-Don, 344006, Russia
b Kuban State University, Krasnodar, 350040, Russia
Full-text PDF (231 kB) Citations (1)
DOI: https://doi.org/10.15372/PMTF20170214
Abstract: This paper describes the block element method for spatial integral equations with a difference kernel in boundary-value problems of continuum mechanics and mathematical physics. The basis of the proposed method is the Wiener–Hopf method, whose generalization for a spatial case is called integral factorization method. The block element method is applied to solve problems in regions with piecewise smooth boundaries containing corner points. The developed method was used to solve the contact problem for a V-shaped stamp occupying the first quadrant. This paper describes in detail the methods of obtaining various characteristics of the solution constructed by reversing the system of one-dimensional linear integral equations typical for dynamics and static contact problems for stamps in the form of a strip.
Keywords: contact problems, integral equations, V-shaped region, block element, factorization, approximate solutions, singular properties.
Funding agency Grant number
Russian Foundation for Basic Research 14-08-00404
15-01-01379
15-08-01377
Russian Academy of Sciences - Federal Agency for Scientific Organizations 33П
Ministry of Science and Higher Education of the Russian Federation 9.8753.2017/БЧ
Received: 14.03.2016
English version:
Journal of Applied Mechanics and Technical Physics, 2017, Volume 58, Issue 2, Pages 301–307
DOI: https://doi.org/10.1134/S0021894417020146
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: V. A. Babeshko, O. V. Evdokimova, O. M. Babeshko, A. G. Fedorenko, “Block element method for solving integrated equations of contact problems in wedge-shaped domains”, Prikl. Mekh. Tekh. Fiz., 58:2 (2017), 133–140; J. Appl. Mech. Tech. Phys., 58:2 (2017), 301–307
Citation in format AMSBIB
\Bibitem{BabEvdBab17}
\by V.~A.~Babeshko, O.~V.~Evdokimova, O.~M.~Babeshko, A.~G.~Fedorenko
\paper Block element method for solving integrated equations of contact problems in wedge-shaped domains
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2017
\vol 58
\issue 2
\pages 133--140
\mathnet{http://mi.mathnet.ru/pmtf732}
\crossref{https://doi.org/10.15372/PMTF20170214}
\elib{https://elibrary.ru/item.asp?id=29009200 }
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2017
\vol 58
\issue 2
\pages 301--307
\crossref{https://doi.org/10.1134/S0021894417020146}
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  • https://www.mathnet.ru/eng/pmtf/v58/i2/p133
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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