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    A screw dislocation near a circular nano-inhomogeneity in gradient elasticity

    , Article International Journal of Solids and Structures ; Volume 47, Issue 6 , 2010 , Pages 741-750 ; 00207683 (ISSN) Davoudi, K. M ; Gutkin, M. Yu ; Shodja, H. M ; Sharif University of Technology
    Abstract
    A screw dislocation outside an infinite cylindrical nano-inhomogeneity of circular cross section is considered within the isotropic theory of gradient elasticity. Fields of total displacements, elastic and plastic distortions, elastic strains and stresses are derived and analyzed in detail. In contrast with the case of classical elasticity, the gradient solutions are shown to possess no singularities at the dislocation line. Moreover, all stress components are continuous and smooth at the interface unlike the classical solution. As a result, the image force exerted on the dislocation due to the differences in elastic and gradient constants of the matrix and inhomogeneity, remains finite when...