Academic
Publications
On the microphysical foundations of rate-and-state friction

On the microphysical foundations of rate-and-state friction,10.1016/j.jmps.2011.02.002,Journal of The Mechanics and Physics of Solids,Thibaut Putelat,

On the microphysical foundations of rate-and-state friction   (Citations: 1)
BibTex | RIS | RefWorks Download
The rate-and-state formulation of friction is well established as a phenomenological yet quantitative description of friction dynamics, in particular the onset of stick-slip instabilities arising from an oscillatory bifurcation. We first discuss the physical origins of two theories for the derivation of friction coefficients used in rate-and-state models, both derived from thermally activated rate processes. Secondly, we propose a general expression for the state evolution law in the form of a first order kinetics which describes the relaxation to a velocity dependent equilibrium interfacial state ϕss(v) over a velocity dependent dynamic rejuvenation time-scale tϕ(v). We show that the unknown relation ϕss(v), defined as the ratio of tϕ to a constant interfacial stationary healing time-scale t⁎⁎, can be estimated directly from the experimental measurements of the steady-state friction coefficient and the critical stiffness for the onset of stick-slip behaviour of a spring-block system. Using a specific experimental dataset, we finally illustrate that this method provides the experimental measurements of the apparent memory length La(v)=vt⁎⁎ϕss(v) and the constant characteristic relaxation time t⁎⁎ from which a constant intrinsic memory length L=V⁎t⁎⁎ can be defined once a slip rate of reference V⁎ is chosen. As a result the complete state evolution law can be experimentally characterised.
Journal: Journal of The Mechanics and Physics of Solids - J MECH PHYS SOLIDS , vol. 59, no. 5, pp. 1062-1075, 2011
Cumulative Annual
View Publication
The following links allow you to view full publications. These links are maintained by other sources not affiliated with Microsoft Academic Search.
Sort by: