Three-Dimensional J Integral : 1st Report, J Integral of Through Cracks and Surface Cracks in Elastic Body)

The Contour Integral Method for Loaded Cracks

An extension of the contour integral method (CIM) for the computation of stress intensity factors for loaded cracks is presented. Numerical solutions of the two-dimensional linear elasticity equations are computed with the p-version of the generalized finite element method. Polynomial enrichment functions as well as enrichment with near crack tip asymptotic expansion are used. The robustness of...

Boundary integral equations in elastodynamics of interface cracks.

The paper concerns the validation of a method for solving elastodynamics problems for cracked solids. The proposed method is based on the application of boundary integral equations. The problem of an interface penny-shaped crack between two dissimilar elastic half-spaces under harmonic loading is considered as an example.

Perturbed cracks in two dimensions: An integral-equation approach

A nominally straight crack of finite length is subjected to plane-strain loadings. A perturbation method is developed for calculating the stress-intensity factors, based on an asymptotic analysis of the governing hypersingular boundary integral equation for the crack-opening displacement. Known exact results for a shallow circular-arc crack are recovered, correct to second order in the small ge...

Propagation of cracks in elastic media

Throughout this paper the normal n denotes the interior normal direction; i.e., n = ( f (x1); 1)= p 1 + jf (x1)j when x approaches from above (denoted by ) and n = (f (x1); 1)= p 1 + jf (x1)j from below (denoted by ). In a recent paper [2] the present authors studied the asymptotic behavior of any solution of (1.2){(1.4) in a neighborhood of the tip X(t). Taking for simplicity t = 0 and assumin...

Through the cracks.