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

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.