Perturbed cracks in two dimensions: An integral-equation approach
نویسنده
چکیده
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 geometrical parameter. The method will extend to three-dimensional problems as it does not make essential use of two-dimensional techniques.
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