On Dislocations in a Special Class of Generalized Elasticity
Materials Science
2009-11-11 v1
Abstract
In this paper we consider and compare special classes of static theories of gradient elasticity, nonlocal elasticity, gradient micropolar elasticity and nonlocal micropolar elasticity with only one gradient coefficient. Equilibrium equations are discussed. The relationship between the gradient theory and the nonlocal theory is discussed for elasticity as well as for micropolar elasticity. Nonsingular solutions for the elastic fields of screw and edge dislocations are given. Both the elastic deformation (distortion, strain, bend-twist) and the force and couple stress tensors do not possess any singularity unlike `classical' theories.
Cite
@article{arxiv.cond-mat/0504291,
title = {On Dislocations in a Special Class of Generalized Elasticity},
author = {M. Lazar and G. A. Maugin and E. C. Aifantis},
journal= {arXiv preprint arXiv:cond-mat/0504291},
year = {2009}
}
Comments
28 pages, to appear in: physica status solidi