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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2012, Issue 9(100), Pages 70–83 (Mi vsgu101)  
This article is cited in 9 scientific papers (total in 9 papers)

Mechanics

On development of multiscale fracture models

E. M. Adylina, L. V. Stepanova

Dept. of Mathematical Modeling in Mechanics, Samara State University, Samara, 443011, Russian Federation
Full-text PDF (137 kB) Citations (9)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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Abstract: An approximate solution of nonlinear eigenvalue problem arising from the Mode I crack problem in a nonlinear power-law medium is obtained. The perturbation technique is used. The method allows to find the analytical formula expressing the eigenvalue as the function of parameters of constitutive law and eigenvalue corresponding to the linear undisturbed problem.
Keywords: nonlinear eigenvalue problem, stress-strain state near the crack tip, stress singularity, multiscale fracture model, perturbation method, analytical solution.
Received: 22.02.2012
Revised: 22.02.2012
Document Type: Article
Language: Russian
Citation: E. M. Adylina, L. V. Stepanova, “On development of multiscale fracture models”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2012, no. 9(100), 70–83
Citation in format AMSBIB
\Bibitem{AdySte12}
\by E.~M.~Adylina, L.~V.~Stepanova
\paper On development of multiscale fracture models
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2012
\issue 9(100)
\pages 70--83
\mathnet{http://mi.mathnet.ru/vsgu101}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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