Nonlocal elasticity near jamming

Abstract

We demonstrate that the elasticity of jammed solids is nonlocal. By forcing frictionless soft sphere packings at varying wavelength, we directly access their transverse and longitudinal compliances without resorting to curve fitting. The observed wavelength dependence of the compliances is incompatible with classical (local) elasticity, and hence quantifies the amplitude of nonlocal effects. Three distinct length scales, two of which diverge, control the amplitude of both nonlocal effects and fluctuations about the mean response. Our results identify new, more accurate constitutive relations for weakly jammed solids, including emulsions, foams, and granulates.

5 pages, 4 figures

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Cited by in corpus (15)

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• Phonon transport and vibrational excitations in amorphous solids
• Sticky Matter: Jamming and rigid cluster statistics with attractive particle interactions
• Two diverging length scales in the structure of jammed packings
• Softening and Yielding of Soft Glassy Materials
• Viscous forces and bulk viscoelasticity near jamming
• On the Apparent Yield Stress in Non-Brownian Magnetorheological Fluids
• Non-local effects in inhomogeneous flows of soft athermal disks
• Metastability at the Yield-Stress Transition in Soft Glasses
• Normal stresses, contraction, and stiffening in sheared elastic networks
• A unified quantifier of mechanical disorder in solids
• Unjamming in models with analytic pairwise potentials
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• Universal scaling for disordered viscoelastic matter near the onset of rigidity
• Dense bidisperse suspensions under non-homogenous shear