Abstract
Potential functions are developed for both symmetric and antisymmetric three-dimensional problems of an infinite elastic solid containing a flat crack covering the outside of an ellipse. The knowledge of these functions permits an examination of the stress and displacement fields everywhere in the cracked solid as well as in a toroidal region around the crack border. Stress-intensity factors kj (j = 1, 2, 3) corresponding to the three basic modes of fracture are obtained. The results of this paper, coupled with those found previously by the authors for the problem of the internal elliptical crack, are essential in making approximate estimate of stress-intensity values for solids with arbitrarily-shaped planar cracks.
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