Rigidity-Controlled Crossover: From Spinodal to Critical Failure
Disordered Systems and Neural Networks
2020-01-14 v1 Materials Science
Statistical Mechanics
Abstract
Failure in disordered solids is accompanied by intermittent fluctuations extending over a broad range of scales. The implied scaling has been previously associated with either spinodal or critical points. We use an analytically transparent mean-field model to show that both analogies are relevant near the brittle-to-ductile transition. Our study indicates that in addition to the strength of quenched disorder, an appropriately chosen global measure of rigidity (connectivity) can be also used to tune the system to criticality. By interpreting rigidity as a timelike variable we reveal an intriguing parallel between earthquake-type critical failure and Burgers turbulence.
Cite
@article{arxiv.2001.04136,
title = {Rigidity-Controlled Crossover: From Spinodal to Critical Failure},
author = {Hudson Borja da Rocha and Lev Truskinovsky},
journal= {arXiv preprint arXiv:2001.04136},
year = {2020}
}