Criticality in the Approach to Failure in Amorphous Solids

Jie Lin, Thomas Gueudré, Alberto Rosso, Matthieu Wyart

    Research output: Contribution to journalArticlepeer-review

    Abstract

    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 Σmax where failure occurs. This observation suggested that Σmax 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 (Σ<Σmax) is critical, that plasticity always involves system-spanning events, and that their magnitude diverges at Σmax independently of the presence of shear bands. We relate the statistics and fractal properties of these rearrangements to an exponent θ that captures the stability of the material, which is observed to vary continuously with stress, and we confirm our predictions in elastoplastic models.

    Original languageEnglish (US)
    Article number168001
    JournalPhysical Review Letters
    Volume115
    Issue number16
    DOIs
    StatePublished - Oct 16 2015

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Fingerprint Dive into the research topics of 'Criticality in the Approach to Failure in Amorphous Solids'. Together they form a unique fingerprint.

    Cite this