Coarse-Graining and Renormalization of Atomistic Binding Relations and Universal Macroscopic Cohesive Behavior
Materials Science
2009-11-07 v1
Abstract
We present two approaches for coarse-graining interplanar potentials and determining the corresponding macroscopic cohesive laws based on energy relaxation and the renormalization group. We analyze the cohesive behavior of a large---but finite---number of interatomic planes and find that the macroscopic cohesive law adopts a universal asymptotic form. The universal form of the macroscopic cohesive law is an attractive fixed point of a suitably-defined renormalization-group transformation.
Keywords
Cite
@article{arxiv.cond-mat/0105482,
title = {Coarse-Graining and Renormalization of Atomistic Binding Relations and Universal Macroscopic Cohesive Behavior},
author = {O. T. Nguyen and M. Ortiz},
journal= {arXiv preprint arXiv:cond-mat/0105482},
year = {2009}
}
Comments
15 pages, 6 figures, submitted to the Journal of the Mechanics and Physics of Solids