Breakdown of continuum elasticity in amorphous solids

Edan Lerner, Eric Degiuli, Gustavo Düring, Matthieu Wyart

    Research output: Contribution to journalArticle

    Abstract

    We show numerically that the response of simple amorphous solids (elastic networks and particle packings) to a local force dipole is characterized by a lengthscale c that diverges as unjamming is approached as c ∼ (z - 2d)-1/2, where z ≥ 2d is the mean coordination, and d is the spatial dimension, at odds with previous numerical claims. We also show how the magnitude of the lengthscale c is amplified by the presence of internal stresses in the disordered solid. Our data suggests a divergence of c ∼ (pc - p)-1/4 with proximity to a critical internal stress pc at which soft elastic modes become unstable. This journal is

    Original languageEnglish (US)
    Pages (from-to)5085-5092
    Number of pages8
    JournalSoft Matter
    Volume10
    Issue number28
    DOIs
    StatePublished - Jul 28 2014

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    Elasticity
    residual stress
    Residual stresses
    elastic properties
    breakdown
    continuums
    critical loading
    proximity
    divergence
    dipoles

    ASJC Scopus subject areas

    • Chemistry(all)
    • Condensed Matter Physics
    • Medicine(all)

    Cite this

    Lerner, E., Degiuli, E., Düring, G., & Wyart, M. (2014). Breakdown of continuum elasticity in amorphous solids. Soft Matter, 10(28), 5085-5092. https://doi.org/10.1039/c4sm00311j

    Breakdown of continuum elasticity in amorphous solids. / Lerner, Edan; Degiuli, Eric; Düring, Gustavo; Wyart, Matthieu.

    In: Soft Matter, Vol. 10, No. 28, 28.07.2014, p. 5085-5092.

    Research output: Contribution to journalArticle

    Lerner, E, Degiuli, E, Düring, G & Wyart, M 2014, 'Breakdown of continuum elasticity in amorphous solids', Soft Matter, vol. 10, no. 28, pp. 5085-5092. https://doi.org/10.1039/c4sm00311j
    Lerner E, Degiuli E, Düring G, Wyart M. Breakdown of continuum elasticity in amorphous solids. Soft Matter. 2014 Jul 28;10(28):5085-5092. https://doi.org/10.1039/c4sm00311j
    Lerner, Edan ; Degiuli, Eric ; Düring, Gustavo ; Wyart, Matthieu. / Breakdown of continuum elasticity in amorphous solids. In: Soft Matter. 2014 ; Vol. 10, No. 28. pp. 5085-5092.
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