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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2012, Issue 3/1(94), Pages 83–102 (Mi vsgu8)  
This article is cited in 11 scientific papers (total in 11 papers)

Mechanics

About a non-linear task on eigenvalues incurring from the analysis of tensions at the fatigue crack tip

E. M. Adulina, S. A. Igonin, L. V. Stepanova

Dept. of Mathematical Modelling in Mechanics, Samara State University, Samara, 443011, Russian Federation
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(published under the terms of the Creative Commons Attribution 4.0 International License)
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Abstract: An analytical solution of the nonlinear eigenvalue problem arising from the fatigue crack growth problem in a damaged medium in coupled formulation is obtained. The perturbation technique is used. The method allows to find the analytical dependence of eigenvalue on parameters of the kinetic equation of the damage evolution law.
Keywords: nonlinear eigenvalue problem, cyclic loading, crack growth in a damaged medium, perturbation method, analytical solution.
Received: 22.02.2012
Revised: 22.02.2012
Document Type: Article
UDC: 539.42
Language: Russian
Citation: E. M. Adulina, S. A. Igonin, L. V. Stepanova, “About a non-linear task on eigenvalues incurring from the analysis of tensions at the fatigue crack tip”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2012, no. 3/1(94), 83–102
Citation in format AMSBIB
\Bibitem{AdyIgoSte12}
\by E.~M.~Adulina, S.~A.~Igonin, L.~V.~Stepanova
\paper About a non-linear task on eigenvalues incurring from the analysis of tensions at the fatigue crack tip
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2012
\issue 3/1(94)
\pages 83--102
\mathnet{http://mi.mathnet.ru/vsgu8}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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