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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2010, Issue 5(21), Pages 105–116
DOI: https://doi.org/10.14498/vsgtu795 (Mi vsgtu795) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Mechanics of Solids

Asymptotic Analysis of Hydraulic Fracture Crack Process Growth

V. I. Astaf'ev

Dept. of Theoretical Mechanics, S. P. Korolyov Samara State Aerospace University (National Research University), Faculty of Aircraft Construction, Samara
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DOI: https://doi.org/10.14498/vsgtu795
Abstract: In this work the self-similar solution of a problem of propagation of hydraulic fracture crack is presented. It is proposed that a crack is focused vertically and research of of its development process is analyzed within the coupled problem of the hydrodynamics theory (flow of viscous fluids) and the linear theory of elasticity (fracture crack growth). Asymptotics of the self-similar solution at the long and small distances from tip of a crack were obtained. Simple approximations of the solution in all length range are offered.
Keywords: hydraulic fracture crack, self-similar solution, asymptomatically analysis.
Original article submitted 19/IV/2010
revision submitted – 19/VIII/2010
Bibliographic databases:
Document Type: Article
UDC: 539.375
MSC: Primary 74R10; Secondary 74F10, 74B05, 74G70
Language: Russian
Citation: V. I. Astaf'ev, “Asymptotic Analysis of Hydraulic Fracture Crack Process Growth”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 5(21) (2010), 105–116
Citation in format AMSBIB
\Bibitem{Ast10}
\by V.~I.~Astaf'ev
\paper Asymptotic Analysis of Hydraulic Fracture Crack Process Growth
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2010
\vol 5(21)
\pages 105--116
\mathnet{http://mi.mathnet.ru/vsgtu795}
\crossref{https://doi.org/10.14498/vsgtu795}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
     
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