连续位错晶体中的有效位错线。II. 有效位错族的同伦
数学物理
2010-03-17 v6 math.MP
摘要
引入了具有非零局部柏氏矢量（Burgers vector）的有效位错线族（congruence）概念。特别是，区分了与位错密度（包括张量密度和标量密度）相关的主 Volterra 型有效位错线族，以便利用这些密度研究连续化缺陷晶体的几何性质。结果表明，有效位错线可赋予位错线张力及有限的自能。
引用
@article{arxiv.0709.1798,
title = {Effective dislocation lines in continuously dislocated crystals. II. Congruences of effective dislocations},
author = {Andrzej Trzesowski},
journal= {arXiv preprint arXiv:0709.1798},
year = {2010}
}
备注
Keywords. Anholonomity, crystal surfaces, dislocation density, effective dislocation lines, Frenet formulae, integral manifolds, local Burgers vector, minimal varieties, moving frames, principal congruences, Riemannian space, slip, self-energy, Volterra dislocations