231 research outputs found
Deriving the slip front propagation velocity with the slip- and slip-velocity-dependent friction laws via the use of the linear marginal stability hypothesis
We analytically and numerically investigate the determining factors of the
slip front propagation (SFP) velocity. The slip front has two forms
characterized by intruding or extruding front. We assume a 1D viscoelastic
medium on a rigid and fixed substrate, and we employ the friction law depending
on the slip and slip velocity. Despite this dependency potentially being
nonlinear, we use the linear marginal stability hypothesis, which linearizes
the governing equation for the slip, to investigate the intruding and extruding
front velocities. The analytically obtained velocities are found to be
consistent with the numerical computation where we assume the friction law
nonlinearly depends on both the slip and slip velocity. This implies that the
linearized friction law is sufficient to capture the dominant features of SFP
behavior.Comment: 15 pages, 10 figures, Accepted for publication in PR
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