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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2012, Volume 53, Issue 4, Pages 138–148 (Mi pmtf1390)  
This article is cited in 2 scientific papers (total in 2 papers)

Nucleation of cracks in a perforated heat-releasing material with temperature-dependent elastic properties

A. R. Vagari, V. M. Mirsalimov

Institute of Mathematics and Mechanics, National Academy of Sciences, Azerbaijan, AZ1141, Baku, Azerbaijan
Full-text PDF (239 kB) Citations (2)
Abstract: A mathematical model of crack nucleation in a perforated heat-releasing material attenuated by a biperiodic system of cooling cylindrical channels with a circular cross section is constructed. Solving the problem of equilibrium of an isotropic perforated heat-releasing material with temperature-dependent properties containing nucleating cracks is reduced to solving systems of algebraic and nonlinear singular integral equations with a Cauchy-type kernel. The forces in crack nucleation regions are found by using the solution of these equations. The condition of crack emergence is formulated with allowance for the criterion of ultimate stretching of bonds in the material.
Keywords: heat-releasing perforated material, pre-fracture zone, bonds between crack faces, dependence of elastic properties of the material on temperature.
Received: 30.12.2010
Accepted: 27.09.2011
English version:
Journal of Applied Mechanics and Technical Physics, 2012, Volume 53, Issue 4, Pages 589–598
DOI: https://doi.org/10.1134/S002189441204013X
Bibliographic databases:
Document Type: Article
UDC: 539.375
Language: Russian
Citation: A. R. Vagari, V. M. Mirsalimov, “Nucleation of cracks in a perforated heat-releasing material with temperature-dependent elastic properties”, Prikl. Mekh. Tekh. Fiz., 53:4 (2012), 138–148; J. Appl. Mech. Tech. Phys., 53:4 (2012), 589–598
Citation in format AMSBIB
\Bibitem{VagMir12}
\by A.~R.~Vagari, V.~M.~Mirsalimov
\paper Nucleation of cracks in a perforated heat-releasing material with temperature-dependent elastic properties
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2012
\vol 53
\issue 4
\pages 138--148
\mathnet{http://mi.mathnet.ru/pmtf1390}
\elib{https://elibrary.ru/item.asp?id=17994678}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2012
\vol 53
\issue 4
\pages 589--598
\crossref{https://doi.org/10.1134/S002189441204013X}
Linking options:
  • https://www.mathnet.ru/eng/pmtf1390
  • https://www.mathnet.ru/eng/pmtf/v53/i4/p138
    • This publication is cited in the following 2 articles:
    1. R. K. Mekhtiev, “Modeling of Failed Unidirectional Linear Bonded Fiber Composites under Transverse Shear”, J. Mach. Manuf. Reliab., 54:1 (2025), 48  crossref
    2. Rafail Mehdiyev Rafail Mehdiyev, Alekber Mehdiyev Alekber Mehdiyev, Rustam Mammadov Rustam Mammadov, “ELASTOPLASTIC PROBLEM FOR PERFORATED PLATE IN TRANSVERSE SHEAR”, ETM, 08:04 (2021), 29  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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