Abstract
In this paper, complex path-independent integrals are rederived and their expression in terms of stress and displacements is given. The integrals are evaluated along elliptical paths using Gauss integration rule. The stress and displacement field is obtained by the finite element method where an automatically generated grid is used. The grid around the crack is composed by confocal elipses and hyperbolas, so the data for the path independent integrals are easily obtained. The proposed method presents some very essential advantages against the previous tentatives. The numerical results comfirm the accuracy, the reliability and the computational efficiency of the method.
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