Print Email Facebook Twitter Nonlocal elasticity near jamming in frictionless soft spheres Title Nonlocal elasticity near jamming in frictionless soft spheres Author Baumgarten, K. (TU Delft Engineering Thermodynamics) Vagberg, D.L.S. (TU Delft Engineering Thermodynamics) Tighe, B.P. (TU Delft Engineering Thermodynamics) Date 2017 Abstract We use simulations of frictionless soft sphere packings to identify novel constitutive relations for linear elasticity near the jamming transition. By forcing packings at varying wavelengths, we directly access their transverse and longitudinal compliances. These are found to be wavelength dependent, in violation of conventional (local) linear elasticity. Crossovers in the compliances select characteristic length scales, which signify the appearance of nonlocal effects. Two of these length scales diverge as the pressure vanishes, indicating that critical effects near jamming control the breakdown of local elasticity. We expect these nonlocal constitutive relations to be applicable to a wide range of weakly jammed solids, including emulsions, foams, and granulates. To reference this document use: http://resolver.tudelft.nl/uuid:f469ef43-01c0-45ba-b90f-d9bc6cee7fc6 DOI https://doi.org/10.1103/PhysRevLett.118.098001 ISSN 0031-9007 Source Physical Review Letters, 118 (9) Part of collection Institutional Repository Document type journal article Rights © 2017 K. Baumgarten, D.L.S. Vagberg, B.P. Tighe Files PDF PhysRevLett.118.098001.pdf 881.11 KB Close viewer /islandora/object/uuid:f469ef43-01c0-45ba-b90f-d9bc6cee7fc6/datastream/OBJ/view