Nanomechanics of a screw dislocation in a functionally graded material using the theory of gradient elasticity
Materials Science
2010-12-24 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1012.5108,
title = {Nanomechanics of a screw dislocation in a functionally graded material using the theory of gradient elasticity},
author = {Kamyar Davoudi and Hossein Davoudi and Elias Aifantis},
journal= {arXiv preprint arXiv:1012.5108},
year = {2010}
}