Nonlinear three-dimensional derivation of line tension for dislocations: quadratic growth
Analysis of PDEs
2020-04-07 v1
Abstract
In this paper we derive a line tension model for dislocations in 3d starting from a geometrically nonlinear elastic energy with quadratic growth. In the asymptotic analysis, as the amplitude of the Burgers vectors (proportional to the lattice spacing) tends to zero, we show that the elastic energy linearises and the line tension energy density, up to an overall constant rotation, is identified by the linearised cell problem formula given in [17].
Keywords
Cite
@article{arxiv.2004.01983,
title = {Nonlinear three-dimensional derivation of line tension for dislocations: quadratic growth},
author = {Adriana Garroni and Roberta Marziani and Riccardo Scala},
journal= {arXiv preprint arXiv:2004.01983},
year = {2020}
}
Comments
52 pages, 2 figures