Open AccessABOUT A NON-LINEAR TASK ON EIGENVALUES INCURRING FROM THE ANALYSIS OF TENSIONS AT THE FATIGUE CRACK TIP
Author(s) -
Е.М. Адылина,
Sergey Igonin,
Л. В. Степанова
Publication year - 2012
Publication title -
vestnik samarskogo universiteta. estestvennonaučnaâ seriâ
Language(s) - English
Resource type - Journals
eISSN - 2712-8954
pISSN - 2541-7525
DOI - 10.18287/2541-7525-2012-18-3.1-83-102
Subject(s) - eigenvalues and eigenvectors , nonlinear system , perturbation (astronomy) , mathematical analysis , mathematics , structural engineering , physics , engineering , quantum mechanics
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 nd the analytical dependence of eigenvalue on parameters of the kinetic equation of the damage evolution law.