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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2018, Volume 59, Issue 2, Pages 218–226
DOI: https://doi.org/10.15372/PMTF20180122 (Mi pmtf611) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Fracture parameter minimization of a circular disk with mixed conditions on its boundary

V. M. Mirsalimovab

a Azerbaijan Technical University, Baku, AZ1073, Azerbaijan
b Institute of Mathematics and Mechanics, National Academy of Sciences, Azerbaijan, Baku, AZ1141, Azerbaijan
Full-text PDF (268 kB) Citations (1)
DOI: https://doi.org/10.15372/PMTF20180122
Abstract: Minimax criterion is used to carry out the theoretical analysis of normal displacement of points at the boundary of a circular disk weakened by arbitrarily placed rectilinear cracks. This paper presents a criterion and method for solving the problem of fracture of the circular disk with mixed conditions on its boundary. A closed system of algebraic equations is constructed, which allows for minimization of stress intensity factors. The normal displacement of points at the boundary of the circular disk, for which the bearing capacity of the disk increases.
Keywords: circular disk, mixed boundary conditions, cracks, displacement function of disk boundary points, fracture parameter minimization.
Received: 24.04.2017
Revised: 02.05.2017
English version:
Journal of Applied Mechanics and Technical Physics, 2018, Volume 59, Issue 2, Pages 376–384
DOI: https://doi.org/10.1134/S0021894418020220
Bibliographic databases:
Document Type: Article
UDC: 539.375
Language: Russian
Citation: V. M. Mirsalimov, “Fracture parameter minimization of a circular disk with mixed conditions on its boundary”, Prikl. Mekh. Tekh. Fiz., 59:2 (2018), 218–226; J. Appl. Mech. Tech. Phys., 59:2 (2018), 376–384
Citation in format AMSBIB
\Bibitem{Mir18}
\by V.~M.~Mirsalimov
\paper Fracture parameter minimization of a circular disk with mixed conditions on its boundary
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2018
\vol 59
\issue 2
\pages 218--226
\mathnet{http://mi.mathnet.ru/pmtf611}
\crossref{https://doi.org/10.15372/PMTF20180122}
\elib{https://elibrary.ru/item.asp?id=32773510}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2018
\vol 59
\issue 2
\pages 376--384
\crossref{https://doi.org/10.1134/S0021894418020220}
Linking options:
  • https://www.mathnet.ru/eng/pmtf611
  • https://www.mathnet.ru/eng/pmtf/v59/i2/p218
    • This publication is cited in the following 1 articles:
    1. Mehtiyev Rafail Karim, Gasimov Gasim Gurban, Musayev Ali Mehdi, Huseynov Nazim Tofig, “Longitudinal Shear of a Composite Material in Which the Binder and Inclusions are Weakened by Cohesive Cracks”, RGSA, 18:2 (2024), e07289  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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