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

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

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 prob...

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Main Authors: E. M. Adylina, L. V. Stepanova
Format: Article
Language:English
Published: Samara State Technical University 2013-06-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Online Access:http://mi.mathnet.ru/eng/vsgtu1156
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spelling doaj-7ffaf04c5e4a43e6982de1c5998ff4812020-11-25T01:55:51ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812013-06-012(31)15616810.14498/vsgtu1156 Asymptotic methods of nonlinear fracture mechanics: results, contemporary state and perspectivesE. M. AdylinaL. V. StepanovaIn 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.http://mi.mathnet.ru/eng/vsgtu1156
collection DOAJ
language English
format Article
sources DOAJ
author E. M. Adylina
L. V. Stepanova
spellingShingle E. M. Adylina
L. V. Stepanova
Asymptotic methods of nonlinear fracture mechanics: results, contemporary state and perspectives
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
author_facet E. M. Adylina
L. V. Stepanova
author_sort E. M. Adylina
title Asymptotic methods of nonlinear fracture mechanics: results, contemporary state and perspectives
title_short Asymptotic methods of nonlinear fracture mechanics: results, contemporary state and perspectives
title_full Asymptotic methods of nonlinear fracture mechanics: results, contemporary state and perspectives
title_fullStr Asymptotic methods of nonlinear fracture mechanics: results, contemporary state and perspectives
title_full_unstemmed Asymptotic methods of nonlinear fracture mechanics: results, contemporary state and perspectives
title_sort asymptotic methods of nonlinear fracture mechanics: results, contemporary state and perspectives
publisher Samara State Technical University
series Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
issn 1991-8615
2310-7081
publishDate 2013-06-01
description 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.
url http://mi.mathnet.ru/eng/vsgtu1156
work_keys_str_mv AT emadylina asymptoticmethodsofnonlinearfracturemechanicsresultscontemporarystateandperspectives
AT lvstepanova asymptoticmethodsofnonlinearfracturemechanicsresultscontemporarystateandperspectives
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