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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2018, Volume 59, Issue 2, Pages 177–188
DOI: https://doi.org/10.15372/PMTF20180118 (Mi pmtf607) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Solution of a plane hydrofracture problem with stress contrast

I. O. Gladkova, A. M. Lin'kovab

a Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, 199178, Russia
b Rzeszow University of Technology, Rzeszow, 35959, Poland
Full-text PDF (325 kB) Citations (9)
DOI: https://doi.org/10.15372/PMTF20180118
Abstract: A plane hydrofracture problem for the Khristianovich–Geertsma–de Klerk model is extended and solved in the case where a confining stress closing a fracture is not constant in the direction of its propagation. A method is developed for solving the problem with an arbitrary stress contrast. It is stated that the transition through a contact with positive (negative) contrast occurs with fracture arresting (acceleration), whose intensity is controlled by a dimensionless parameter derived from theoretical considerations and numerical results
Keywords: hydraulic fracture, plane problem, stress contrast.
Funding agency Grant number
Russian Science Foundation 15-11-00017
National Science Centre, Poland 2015/19B/ST8/00712
Received: 03.08.2016
Revised: 27.04.2017
English version:
Journal of Applied Mechanics and Technical Physics, 2018, Volume 59, Issue 2, Pages 341–351
DOI: https://doi.org/10.1134/S0021894418020189
Bibliographic databases:
Document Type: Article
UDC: 539.4+622.83
Language: Russian
Citation: I. O. Gladkov, A. M. Lin'kov, “Solution of a plane hydrofracture problem with stress contrast”, Prikl. Mekh. Tekh. Fiz., 59:2 (2018), 177–188; J. Appl. Mech. Tech. Phys., 59:2 (2018), 341–351
Citation in format AMSBIB
\Bibitem{GlaLin18}
\by I.~O.~Gladkov, A.~M.~Lin'kov
\paper Solution of a plane hydrofracture problem with stress contrast
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2018
\vol 59
\issue 2
\pages 177--188
\mathnet{http://mi.mathnet.ru/pmtf607}
\crossref{https://doi.org/10.15372/PMTF20180118}
\elib{https://elibrary.ru/item.asp?id=32773506}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2018
\vol 59
\issue 2
\pages 341--351
\crossref{https://doi.org/10.1134/S0021894418020189}
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  • https://www.mathnet.ru/eng/pmtf/v59/i2/p177
    • This publication is cited in the following 9 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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