Nanomechanics of a screw dislocation in a functionally graded material using the theory of gradient elasticity

Details Nanomechanics of a screw dislocation in a functionally graded material using the theory of gradient elasticity Nanomechanics of a screw dislocation in a functionally graded material using the theory of gradient elasticity

2010-12-22

arxiv.org/abs/1012.5108v1

Physics

Condensed Matter

Materials Science

Scientific paper

The modest aim of this short article is to provide some new results for a screw dislocation in a functionally graded material within the theory of gradient elasticity. These results, based on a displacement formulation and the Fourier transform technique, extends earlier findings (Lazar, M., 2007. On a screw dislocation in a functionally graded material, Mech. Res. Comm. 34, 305-311) obtained by the stress function method, to the case of the second gradient elasticity. Rigorous and easy-to-use analytical expressions for the displacements, the strains and the stresses are obtained which are free from singularities at the dislocation line.

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