Criticality in the Approach to Failure in Amorphous Solids

Failure of amorphous solids is fundamental to various phenomena, including landslides and earthquakes. Recent experiments indicate that highly plastic regions form elongated structures that are especially apparent near the maximal shear stress Sigma(max) where failure occurs. This observation suggested that Sigma(max) acts as a critical point where the length scale of those structures diverges, possibly causing macroscopic transient shear bands. Here, we argue instead that the entire solid phase (Sigma < Sigma(max)) is critical, that plasticity always involves system-spanning events, and that their magnitude diverges at Sigma(max) independently of the presence of shear bands. We relate the statistics and fractal properties of these rearrangements to an exponent theta that captures the stability of the material, which is observed to vary continuously with stress, and we confirm our predictions in elastoplastic models.


Published in:
Physical Review Letters, 115, 16, 168001
Year:
2015
Publisher:
College Pk, American Physical Society
ISSN:
0031-9007
Laboratories:




 Record created 2015-12-02, last modified 2018-03-17


Rate this document:

Rate this document:
1
2
3
 
(Not yet reviewed)