TY - JOUR
T1 - Nonlocal elasticity near jamming in frictionless soft spheres
AU - Baumgarten, Karsten
AU - Vagberg, D.L.S.
AU - Tighe, Brian P.
PY - 2017
Y1 - 2017
N2 - 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.
AB - 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.
UR - http://resolver.tudelft.nl/uuid:f469ef43-01c0-45ba-b90f-d9bc6cee7fc6
UR - http://www.scopus.com/inward/record.url?scp=85014585613&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.118.098001
DO - 10.1103/PhysRevLett.118.098001
M3 - Article
AN - SCOPUS:85014585613
SN - 0031-9007
VL - 118
JO - Physical Review Letters
JF - Physical Review Letters
IS - 9
M1 - 098001
ER -