1:45 PM - 2:00 PM
[SSS27-01] Spontaneous Emergence of Static Friction Force and Vanishment of Dynamic Friction Force in Slip Front Propagation
Keywords:Static Friction Force, Dynamic Friction Force, Nonlinear Friction Law, Analytical Solution, Slip Front Propagation
We can obtain the profiles of the slip and the strain of the steady state of the slip front dynamics, which is found to give the relationship between the strain at x \to -\infty (the loading point) pinf (<0) and the slip front velocity c; |pinf|=2b/c. It is also important to note that c must be smaller than the bulk elastic wave velocity ve for the existence of the steady state. These statements indicate that pinf has the critical value. If |pinf|<2b/ve, the steady propagation cannot be observed and the slip amplitude decays with increasing time. On the other hand, if |pinf|>2b/ve, the steady propagation of slip appears. These behaviors imply spontaneous emergence of the static friction force even though the local friction has no static friction force. Macroscopic static friction force is given by 2bE1/ve, where E1 is the Young modulus.
The analytical result obtained in the present study also indicates the slip velocity at x1(=x-ct) \to -\infty is 2b, which results in that the friction force at the loading point in the steady state vanishes since tau is zero with v=2b. The dynamic friction force in the steady state is concluded to vanish spontaneously at x1 \to -\infty.