Athermal Fracture of Elastic Networks: How Rigidity Challenges the Unavoidable Size-Induced Brittleness
Abstract
By performing extensive simulations with unprecedentedly large system sizes, we unveil how rigidity influences the fracture of disordered materials. We observe the largest damage in networks with connectivity close to the isostatic point and when the rupture thresholds are small. However, regardless of network and spring properties, a more brittle fracture is observed upon increasing system size. Differently from most of the fracture descriptors, the maximum stress drop, a proxy for brittleness, displays a universal non-monotonic dependence on system size. Based on this uncommon trend it is possible to identify the characteristic system size at which brittleness kicks in. The more the disorder in network connectivity or in spring thresholds, the larger . Finally, we speculate how this size-induced brittleness is influenced by thermal fluctuations.
Cite
@article{arxiv.1907.11466,
title = {Athermal Fracture of Elastic Networks: How Rigidity Challenges the Unavoidable Size-Induced Brittleness},
author = {Simone Dussi and Justin Tauber and Jasper van der Gucht},
journal= {arXiv preprint arXiv:1907.11466},
year = {2020}
}