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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 8, Pages 1294–1303
DOI: https://doi.org/10.7868/S0044466917080038 (Mi zvmmf10600) 		 
This article is cited in 4 scientific papers (total in 5 papers)

Mechanical quadrature method as applied to singular integral equations with logarithmic singularity on the right-hand side

H. Amirjanyan, A. V. Sahakyan

Institute of Mechanics, National Academy of Sciences of Armenia, Yerevan, Armenia
Full-text PDF (463 kB) Citations (5)
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DOI: https://doi.org/10.7868/S0044466917080038
Abstract: A singular integral equation with a Cauchy kernel and a logarithmic singularity on its righthand side is considered on a finite interval. An algorithm is proposed for the numerical solution of this equation. The contact elasticity problem of a Рџ-shaped rigid punch indented into a half-plane is solved in the case of a uniform hydrostatic pressure occurring under the punch, which leads to a logarithmic singularity at an endpoint of the integration interval. The numerical solution of this problem shows the efficiency of the proposed approach and suggests that the singularity has to be taken into account in solving the equation.
Key words: singular integral equation, logarithmic singularity, mechanical quadrature, contact problem, hydrostatic pressure, stress concentration.
Received: 14.12.2015
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 8, Pages 1285–1293
DOI: https://doi.org/10.1134/S0965542517080036
Bibliographic databases:
Document Type: Article
UDC: 519.642
Language: Russian
Citation: H. Amirjanyan, A. V. Sahakyan, “Mechanical quadrature method as applied to singular integral equations with logarithmic singularity on the right-hand side”, Zh. Vychisl. Mat. Mat. Fiz., 57:8 (2017), 1294–1303; Comput. Math. Math. Phys., 57:8 (2017), 1285–1293
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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