ABOUT A NON-LINEAR TASK ON EIGENVALUES INCURRING FROM THE ANALYSIS OF TENSIONS AT THE FATIGUE CRACK TIP

Адылина Е.М.; E.M. Adylina; Игонин С.А.; S.A. Igonin; Степанова Л.В.; L.V. Stepanova

doi:10.18287/2541-7525-2012-18-3.1-83-102

ABOUT A NON-LINEAR TASK ON EIGENVALUES INCURRING FROM THE ANALYSIS OF TENSIONS AT THE FATIGUE CRACK TIP

Authors: Adylina E.¹, Igonin S.¹, Stepanova L.¹
Affiliations:
1. Samara State University
Issue: Vol 18, No 3.1 (2012)
Pages: 83-102
Section: Articles
URL: https://journals.ssau.ru/est/article/view/4739
DOI: https://doi.org/10.18287/2541-7525-2012-18-3.1-83-102
ID: 4739

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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.