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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Bibliographic Details
Published in:Vestnik Samarskogo gosudarstvennogo tehničeskogo universiteta. Seriâ Fiziko-matematičeskie nauki Vol. 2(31); pp. 156 - 168
Main Authors: E. M. Adylina, L. V. Stepanova
Format: Journal Article
Language:English
Russian
Published: Samara State Technical University 01-06-2013
Online Access:Get full text
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Summary: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.
ISSN:1991-8615
2310-7081
DOI:10.14498/vsgtu1156