EIGENFUNCTIONS OF THE NONLINEAR EIGENVALUE PROBLEM ARISING FROM PROBLEMS OF DETERMINING CRACK TIP STRESS FIELD IN POWER-LAW MATERIALS UNDER MODE III LOADING

摘要

The study is aimed at analytical determination of eigenfunctions of the nonlinear eigenvlaue problems following from the problem of determining the crack tip fields at crack in power law materials under mode III loading. The study is based on the perturbation theory technique (small artificial parameter method) allowing us to find the analytical solution for the eigenfunctions in the closed form. The method of analytical determination of eigenfunctions of the problem is presented.