Abstract
In this paper, the displacement discontinuity fundamental solution (DDFS) corresponding to the unit concentrated displacement discontinuity for three dimensional (3D) non-local elasticity under symmetrical condition is obtained. Based on the displacement discontinuity boundary integralequation (DDBIE) and boundary-element method (DDBEM) of local (classical) elasticity, a method of analysis of crack in 3D non-local elasticity with wide application is proposed with the DDFS. Through the method, several important problems of fracture mechanics are analysed.
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