210 research outputs found
Rubber friction on smooth surfaces
We study the sliding friction for viscoelastic solids, e.g., rubber, on hard
flat substrate surfaces. We consider first the fluctuating shear stress inside
a viscoelastic solid which results from the thermal motion of the atoms or
molecules in the solid. At the nanoscale the thermal fluctuations are very
strong and give rise to stress fluctuations in the MPa-range, which is similar
to the depinning stresses which typically occur at solid-rubber interfaces,
indicating the crucial importance of thermal fluctuations for rubber friction
on smooth surfaces. We develop a detailed model which takes into account the
influence of thermal fluctuations on the depinning of small contact patches
(stress domains) at the rubber-substrate interface. The theory predicts that
the velocity dependence of the macroscopic shear stress has a bell-shaped f
orm, and that the low-velocity side exhibits the same temperature dependence as
the bulk viscoelastic modulus, in qualitative agreement with experimental data.
Finally, we discuss the influence of small-amplitude substrate roughness on
rubber sliding friction.Comment: 14 pages, 16 figure
Non-Amontons behavior of friction in single contacts
We report on the frictional properties of a single contact between a glassy
polymer lens and a flat silica substrate covered either by a disordered or by a
self-assembled alkylsilane monolayer. We find that, in contrast to common
belief, the Amontons proportionality between frictional and normal stresses
does not hold. Besides, we observe that the velocity dependence of the sliding
stress is strongly sensitive to the structure of the silane layer. Analysis of
the frictional rheology observed on both disordered and self-assembled
monolayers suggests that dissipation is controlled by the plasticity of a
glass-like interfacial layer in the former case, and by pinning of polymer
chains on the substrate in the latter one.Comment: submitted to Eur. Phys. J.
Self healing slip pulses along a gel/glass interface
We present an experimental evidence of self-healing shear cracks at a
gel/glass interface. This system exhibits two dynamical regimes depending on
the driving velocity : steady sliding at high velocity (> Vc = 100-125 \mu
m/s), caracterized by a shear-thinning rheology, and periodic stick-slip
dynamics at low velocity. In this last regime, slip occurs by propagation of
pulses that restick via a ``healing instability'' occuring when the local
sliding velocity reaches the macroscopic transition velocity Vc. At driving
velocities close below Vc, the system exhibits complex spatio-temporal
behavior.Comment: 4 pages, 6 figure
On slip pulses at a sheared frictional viscoelastic/ non deformable interface
We study the possibility for a semi-infinite block of linear viscoelastic
material, in homogeneous frictional contact with a non-deformable one, to slide
under shear via a periodic set of ``self-healing pulses'', i.e. a set of
drifting slip regions separated by stick ones. We show that, contrary to
existing experimental indications, such a mode of frictional sliding is
impossible for an interface obeying a simple local Coulomb law of solid
friction. We then discuss possible physical improvements of the friction model
which might open the possibility of such dynamics, among which slip weakening
of the friction coefficient, and stress the interest of developing systematic
experimental investigations of this question.Comment: 23 pages, 3 figures. submitted to PR
A nonlinear symmetry breaking effect in shear cracks
Shear cracks propagation is a basic dynamical process that mediates
interfacial failure. We develop a general weakly nonlinear elastic theory of
shear cracks and show that these experience tensile-mode crack tip deformation,
including possibly opening displacements, in agreement with Stephenson's
prediction. We quantify this nonlinear symmetry breaking effect, under
two-dimensional deformation conditions, by an explicit inequality in terms of
the first and second order elastic constants in the quasi-static regime and
semi-analytic calculations in the fully dynamic regime. Our general results are
applied to various materials. Finally, we discuss available works in the
literature and note the potential relevance of elastic nonlinearities for
frictional cracks.Comment: 5 pages, 2 figure
Earthquakes: from chemical alteration to mechanical rupture
In the standard rebound theory of earthquakes, elastic deformation energy is
progressively stored in the crust until a threshold is reached at which it is
suddenly released in an earthquake. We review three important paradoxes, the
strain paradox, the stress paradox and the heat flow paradox, that are
difficult to account for in this picture, either individually or when taken
together. Resolutions of these paradoxes usually call for additional
assumptions on the nature of the rupture process (such as novel modes of
deformations and ruptures) prior to and/or during an earthquake, on the nature
of the fault and on the effect of trapped fluids within the crust at
seismogenic depths. We review the evidence for the essential importance of
water and its interaction with the modes of deformations. Water is usually seen
to have mainly the mechanical effect of decreasing the normal lithostatic
stress in the fault core on one hand and to weaken rock materials via
hydrolytic weakening and stress corrosion on the other hand. We also review the
evidences that water plays a major role in the alteration of minerals subjected
to finite strains into other structures in out-of-equilibrium conditions. This
suggests novel exciting routes to understand what is an earthquake, that
requires to develop a truly multidisciplinary approach involving mineral
chemistry, geology, rupture mechanics and statistical physics.Comment: 44 pages, 1 figures, submitted to Physics Report
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