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
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 - מאמר
AN - SCOPUS:84890496883
VL - 88
JO - Physical Review E
JF - Physical Review E
SN - 2470-0045
IS - 6
M1 - 060403
ER -