TY - JOUR
T1 - Instabilities at frictional interfaces
T2 - Creep patches, nucleation, and rupture fronts
AU - Bar-Sinai, Yohai
AU - Spatschek, Robert
AU - Brener, Efim A.
AU - Bouchbinder, Eran
N1 - James S. McDonnell Foundation; Minerva Foundation; Harold Perlman Family Foundation; William Z. and Eda Bess Novick Young Scientist Fund; Weizmann Institute of ScienceE.B. acknowledges support of the James S. McDonnell Foundation, the Minerva Foundation, the Harold Perlman Family Foundation, and the William Z. and Eda Bess Novick Young Scientist Fund. E. A. B. acknowledges support of the Erna and Jacob Michael visiting professorship funds at Weizmann Institute of Science.
PY - 2013/12/10
Y1 - 2013/12/10
N2 - The strength and stability of frictional interfaces, ranging from tribological systems to earthquake faults, are intimately related to the underlying spatially extended dynamics. Here we provide a comprehensive theoretical account, both analytic and numeric, of spatiotemporal interfacial dynamics in a realistic rate-and-state friction model, featuring both velocity-weakening and velocity-strengthening behaviors. Slowly extending, loading-rate-dependent creep patches undergo a linear instability at a critical nucleation size, which is nearly independent of interfacial history, initial stress conditions, and velocity-strengthening friction. Nonlinear propagating rupture fronts - the outcome of instability - depend sensitively on the stress state and velocity-strengthening friction. Rupture fronts span a wide range of propagation velocities and are related to steady-state-front solutions.
AB - The strength and stability of frictional interfaces, ranging from tribological systems to earthquake faults, are intimately related to the underlying spatially extended dynamics. Here we provide a comprehensive theoretical account, both analytic and numeric, of spatiotemporal interfacial dynamics in a realistic rate-and-state friction model, featuring both velocity-weakening and velocity-strengthening behaviors. Slowly extending, loading-rate-dependent creep patches undergo a linear instability at a critical nucleation size, which is nearly independent of interfacial history, initial stress conditions, and velocity-strengthening friction. Nonlinear propagating rupture fronts - the outcome of instability - depend sensitively on the stress state and velocity-strengthening friction. Rupture fronts span a wide range of propagation velocities and are related to steady-state-front solutions.
UR - http://www.scopus.com/inward/record.url?scp=84890496883&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.88.060403
DO - 10.1103/PhysRevE.88.060403
M3 - مقالة
SN - 1539-3755
VL - 88
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 6
M1 - 060403
ER -