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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2013, Issue 2(31), Pages 156–168
DOI: https://doi.org/10.14498/vsgtu1156 (Mi vsgtu1156) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Procedings of the 3nd International Conference "Mathematical Physics and its Applications"
Mechanics and Classical Field Theory

Asymptotic methods of nonlinear fracture mechanics: results, contemporary state and perspectives

L. V. Stepanova, E. M. Adylina

Samara State University, Samara, 443011, Russia
Full-text PDF (293 kB) Citations (5)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu1156
Abstract: In the paper the brief review of the important results of nonlinear fracture mechanics recently obtained by the asymptotic methods and perturbation techniques is given. The asymptotic solutions of the whole class of crack problems are discussed. Applications of the asymptotic analysis for crack problems of nonlinear fracture mechanics such that crack tip fields in damaged medium, fatigue crack growth problems in damaged medium, nonlinear eigenvalue problems arising from fracture mechanics analysis, nonlinear eigenvalue analysis including higher order terms are elucidated.
Keywords: asymptotic methods, nonlinear fracture mechanics, crack tip stress field, nonlinear eigenvalue problems.
Funding agency Grant number
Russian Foundation for Basic Research 12-08-00390
Original article submitted 10/XI/2012
revision submitted – 15/XII/2012
Bibliographic databases:
Document Type: Proceedings
UDC: 539.42
MSC: 74E35, 74K20
Language: Russian
Citation: L. V. Stepanova, E. M. Adylina, “Asymptotic methods of nonlinear fracture mechanics: results, contemporary state and perspectives”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(31) (2013), 156–168
Citation in format AMSBIB
\Bibitem{SteAdy13}
\by L.~V.~Stepanova, E.~M.~Adylina
\paper Asymptotic methods of nonlinear fracture mechanics: results, contemporary state and perspectives
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2013
\vol 2(31)
\pages 156--168
\mathnet{http://mi.mathnet.ru/vsgtu1156}
\crossref{https://doi.org/10.14498/vsgtu1156}
\elib{https://elibrary.ru/item.asp?id=20236352}
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  • https://www.mathnet.ru/eng/vsgtu/v131/p156
    • This publication is cited in the following 5 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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