Geodesics around line defects in elastic solids
摘要
Topological defects in solids, usually described by complicated boundary conditions in elastic theory, may be described more simply as sources of a gravity- like deformation field in the geometric approach of Katanaev and Volovich. This way, the deformation field is described by non-Euclidean metric that incorporates the boundary imposed by the defects. A possible way of gaining some insight into the motion of particles in a medium with topological defects (e.g., electrons in a dislocated metal) is to look at the geodesics of the medium around the defect. In this work, we find the exact solution for the geodesic equation for elastic medium with a generic line defect, the dispiration, that can either be a screw dislocation or a wedge disclination for particular choices of its parameters.
引用
@article{arxiv.cond-mat/9802178,
title = {Geodesics around line defects in elastic solids},
author = {A. de Padua and Fernando Parisio-Filho and Fernando Moraes},
journal= {arXiv preprint arXiv:cond-mat/9802178},
year = {2009}
}
备注
10 pages, Latex, 4 figures, accepted for publication in Phys. Lett. A