Browsing by Author "Lerner, Edan"

Now showing 1 - 6 of 6
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    A unified framework for non-Brownian suspension flows and soft amorphous solids
    (2012) Lerner, Edan; Düring, Gustavo; Wyart, M.
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    Elasticity and rheology of auxetic granular metamaterials
    (2024) Haver, Daan; Acuna, Daniel; Janbaz, Shahram; Lerner, Edan; During, Gustavo; Coulais, Corentin
    The flowing, jamming, and avalanche behavior of granular materials is satisfyingly universal and vexingly hard to tune: A granular flow is typically intermittent and will irremediably jam if too confined. Here, we show that granular metamaterials made from particles with a negative Poisson's ratio yield more easily and flow more smoothly than ordinary granular materials. We first create a collection of auxetic grains based on a re-entrant mechanism and show that each grain exhibits a negative Poisson's ratio regardless of the direction of compression. Interestingly, we find that the elastic and yielding properties are governed by the high compressibility of granular metamaterials: At a given confinement, they exhibit lower shear modulus, lower yield stress, and more frequent, smaller avalanches than materials made from ordinary grains. We further demonstrate that granular metamaterials promote flow in more complex confined geometries, such as intruder and hopper geometries, even when the packing contains only a fraction of auxetic grains. Moreover, auxetic granular metamaterials exhibit enhanced impact absorption. Our findings blur the boundary between complex fluids and metamaterials and could help in scenarios that involve process, transport, and reconfiguration of granular materials.
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    Elasticity of self-organized frustrated disordered spring networks
    (2024) Pettinari, Tommaso; During, Gustavo; Lerner, Edan
    There have been some interesting recent advances in understanding the notion of mechanical disorder in structural glasses and the statistical mechanics of these systems' low -energy excitations. Here we contribute to these advances by studying a minimal model for structural glasses' elasticity in which the degree of mechanical disorder-as characterized by recently introduced dimensionless quantifiers-is readily tunable over a very large range. We comprehensively investigate a number of scaling laws observed for various macro, meso and microscopic elastic properties, and rationalize them using scaling arguments. Interestingly, we demonstrate that the model features the universal quartic glassy vibrational density of states as seen in many atomistic and molecular models of structural glasses formed by cooling a melt. The emergence of this universal glassy spectrum highlights the role of self -organization (toward mechanical equilibrium) in its formation, and elucidates why models featuring structural frustration alone do not feature the same universal glassy spectrum. Finally, we discuss relations to existing work in the context of strain stiffening of elastic networks and of low -energy excitations in structural glasses, in addition to future research directions.
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    Micromechanical theory of strain stiffening of biopolymer networks
    (2018) Rens, Robbie; Villarroel, Carlos; Düring, Gustavo; Lerner, Edan
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    Statistics and Properties of Low-Frequency Vibrational Modes in Structural Glasses
    (2016) Lerner, Edan; Düring, Gustavo; Bouchbinder, Eran
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    Toward a microscopic description of flow near the jamming threshold
    (2012) Lerner, Edan; Düring, Gustavo; Wyart, Matthieu