Local structure controls the nonaffine shear and bulk moduli of disordered solids

M. Schlegel, J. Brujic, E. M. Terentjev, A. Zaccone

    Research output: Contribution to journalArticle

    Abstract

    Paradigmatic model systems, which are used to study the mechanical response of matter, are random networks of point-atoms, random sphere packings, or simple crystal lattices; all of these models assume central-force interactions between particles/atoms. Each of these models differs in the spatial arrangement and the correlations among particles. In turn, this is reflected in the widely different behaviours of the shear (G) and compression (K) elastic moduli. The relation between the macroscopic elasticity as encoded in G, K and their ratio, and the microscopic lattice structure/order, is not understood. We provide a quantitative analytical connection between the local orientational order and the elasticity in model amorphous solids with different internal microstructure, focusing on the two opposite limits of packings (strong excluded-volume) and networks (no excluded-volume). The theory predicts that, in packings, the local orientational order due to excluded-volume causes less nonaffinity (less softness or larger stiffness) under compression than under shear. This leads to lower values of G/K, a well-documented phenomenon which was lacking a microscopic explanation. The theory also provides an excellent one-parameter description of the elasticity of compressed emulsions in comparison with experimental data over a broad range of packing fractions.

    Original languageEnglish (US)
    Article number18724
    JournalScientific Reports
    Volume6
    DOIs
    StatePublished - Jan 6 2016

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    bulk modulus
    shear
    elastic properties
    softness
    crystal lattices
    emulsions
    atoms
    stiffness
    modulus of elasticity
    microstructure
    causes
    interactions

    ASJC Scopus subject areas

    • General

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    Local structure controls the nonaffine shear and bulk moduli of disordered solids. / Schlegel, M.; Brujic, J.; Terentjev, E. M.; Zaccone, A.

    In: Scientific Reports, Vol. 6, 18724, 06.01.2016.

    Research output: Contribution to journalArticle

    Schlegel, M. ; Brujic, J. ; Terentjev, E. M. ; Zaccone, A. / Local structure controls the nonaffine shear and bulk moduli of disordered solids. In: Scientific Reports. 2016 ; Vol. 6.
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