TY - JOUR
T1 - Reynolds pressure and relaxation in a sheared granular system
AU - Ren, Jie
AU - Dijksman, Joshua A.
AU - Behringer, Robert P.
PY - 2013/1/2
Y1 - 2013/1/2
N2 - We describe experiments that probe the evolution of shear jammed states, occurring for packing fractions pS≤p≤pJ, for frictional granular disks, where above pJ there are no stress-free static states. We use a novel shear apparatus that avoids the formation of inhomogeneities known as shear bands. This fixed p system exhibits coupling between the shear strain, γ, and the pressure, P, which we characterize by the "Reynolds pressure" and a "Reynolds coefficient," R(p)=(∂2P/∂γ2)/2. R depends only on p and diverges as R∼(pc-p) α, where pcpJ and α-3.3. Under cyclic shear, this system evolves logarithmically slowly towards limit cycle dynamics, which we characterize in terms of pressure relaxation at cycle n: ΔP-βln(n/n0). β depends only on the shear cycle amplitude, suggesting an activated process where β plays a temperaturelike role.
AB - We describe experiments that probe the evolution of shear jammed states, occurring for packing fractions pS≤p≤pJ, for frictional granular disks, where above pJ there are no stress-free static states. We use a novel shear apparatus that avoids the formation of inhomogeneities known as shear bands. This fixed p system exhibits coupling between the shear strain, γ, and the pressure, P, which we characterize by the "Reynolds pressure" and a "Reynolds coefficient," R(p)=(∂2P/∂γ2)/2. R depends only on p and diverges as R∼(pc-p) α, where pcpJ and α-3.3. Under cyclic shear, this system evolves logarithmically slowly towards limit cycle dynamics, which we characterize in terms of pressure relaxation at cycle n: ΔP-βln(n/n0). β depends only on the shear cycle amplitude, suggesting an activated process where β plays a temperaturelike role.
U2 - 10.1103/PhysRevLett.110.018302
DO - 10.1103/PhysRevLett.110.018302
M3 - Article
AN - SCOPUS:84871755722
SN - 0031-9007
VL - 110
JO - Physical Review Letters
JF - Physical Review Letters
IS - 1
M1 - 018302
ER -