The solid angle and the Burgers formula in the theory of gradient elasticity: line integral representation
Materials Science
2015-06-18 v1 Classical Physics
Abstract
A representation of the solid angle and the Burgers formula as line integral is derived in the framework of the theory of gradient elasticity of Helmholtz type. The gradient version of the Eshelby-deWit representation of the Burgers formula of a closed dislocation loop is given. Such a form is suitable for the numerical implementation in 3D dislocation dynamics (DD).
Keywords
Cite
@article{arxiv.1312.2916,
title = {The solid angle and the Burgers formula in the theory of gradient elasticity: line integral representation},
author = {Markus Lazar and Giacomo Po},
journal= {arXiv preprint arXiv:1312.2916},
year = {2015}
}
Comments
11 pages, to appear in: Physics Letters A