Size effects in statistical fracture
Materials Science
2015-05-13 v1 Statistical Mechanics
Abstract
We review statistical theories and numerical methods employed to consider the sample size dependence of the failure strength distribution of disordered materials. We first overview the analytical predictions of extreme value statistics and fiber bundle models and discuss their limitations. Next, we review energetic and geometric approaches to fracture size effects for specimens with a flaw. Finally, we overview the numerical simulations of lattice models and compare with theoretical models.
Cite
@article{arxiv.0901.3277,
title = {Size effects in statistical fracture},
author = {Mikko J. Alava and Phani K. V. V. Nukala and Stefano Zapperi},
journal= {arXiv preprint arXiv:0901.3277},
year = {2015}
}
Comments
review article 19 pages, 5 figures