Abstract
In the present paper, the distributed dislocation technique is extended for crack problems within Eringen’s theory of nonlocal elasticity of Helmholtz type. Employing distributed dislocation technique, non-singular stresses of cracks of modes I, II and III are obtained using the non-singular stresses of climb edge, glide edge and screw dislocations and dislocation density functions which are solutions of the non-singular integral equations of distributed dislocation technique. The cracks are modeled by a continuous distribution of straight dislocations. The nonlocal elasticity solutions of crack problems do not contain a stress singularity. We found that the non-singular crack stresses are zero at the crack tip or near the crack tip.
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