Dp. Vallette et Jp. Gollub, SPATIOTEMPORAL DYNAMICS DUE TO STICK-SLIP FRICTION IN AN ELASTIC-MEMBRANE SYSTEM, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 47(2), 1993, pp. 820-827
Frictional stick-slip dynamics is studied experimentally in an elastic
continuum by means of a stretched latex membrane in contact with a tr
anslating glass rod. In contrast to other laboratory-scale experiments
, the characteristic stiffness length here is small compared to the si
ze of the system but large compared to the spatial resolution of the m
easurements. The internal displacement field u (s, t) is measured in d
etail with imaging techniques, which are shown to be more sensitive th
an total-force measurements. The magnitudes mu of slipping events exte
nd over a wide range and include both small localized events and large
spatially extended ones. The shape of the distribution P(mu) depends
somewhat on the measurement threshold and also varies with the paramet
ers describing the frictional interaction, which are affected by wear.
The frictional force increases with velocity and an instability is du
e to waves of detachment. The temporal statistics of slipping events a
re also discussed. The experimental results are compared qualitatively
to simplified models of earthquake faults.