Athermal Fracture of Elastic Networks: How Rigidity Challenges the Unavoidable Size-Induced Brittleness

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, irrespecti...

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Bibliographic Details
Published in:Physical review letters 2020-01, Vol.124 (1), p.018002-018002, Article 018002
Main Authors: Dussi, Simone, Tauber, Justin, van der Gucht, Jasper
Format: Article
Language:English
Subjects:
Brittleness
Rigidity
Thresholds
Variations
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Summary: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, irrespective 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 nonmonotonic dependence on system size. Based on this uncommon trend it is possible to identify the characteristic system size L^{*} at which brittleness kicks in. The more the disorder in network connectivity or in spring thresholds, the larger L^{*}. Finally, we speculate how this size-induced brittleness is influenced by thermal fluctuations.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.124.018002