The solution is given for the problem of screw dislocation in non-local elasticity. The shear stress and the elastic energy are calculated. Interestingly, none of the classical singularities (for the stress and energy) exist in the non-local solutions. Estimates are provided for the critical shear stress which will produce a single dislocation of one atomic distance.
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A. Cemal Eringen (1977) studied this question.
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