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In many sliding systems consisting of solid object on a solid substrate under dry condition, the friction force does not depend on the apparent contact area and is proportional to the loading force. This behaviour is called Amontons' law…

Soft Condensed Matter · Physics 2013-04-05 Michio Otsuki , Hiroshi Matsukawa

The suppression of friction between sliding objects, modulated or enhanced by mechanical vibrations, is well established. However, the precise conditions of occurrence of these phenomena is not well understood. Here we address these…

Soft Condensed Matter · Physics 2016-09-07 Ferdinando Giacco , Eugenio Lippiello , Massimo Pica Ciamarra

When some granular material contained into a silo is pushed upwards with a piston, an irregular stick-slip motion of the system of grains is observed. We show how one can adapt the `Scalar Arching Model' -- proposed as a model for giant…

Condensed Matter · Physics 2007-05-23 Philippe Claudin , Jean-Philippe Bouchaud

We investigate the motion of a hard cylinder rolling down a soft inclined plane. The cylinder is subjected to a viscous drag force and stochastic fluctuations due to the surrounding medium. In a wide range of parameters we observe…

Materials Science · Physics 2009-11-10 Thorsten Poeschel , Nikolai V. Brilliantov , Alexei Zaikin

The stick-slip phenomenon widely exists in contact mechanics, from the macroscale to the nanoscale. During cholesteric-nematic unwinding by external fields, there is controversy regarding the role of planar surface anchoring, which may…

Soft Condensed Matter · Physics 2024-04-11 Weichao Zheng

We consider the response of a one-dimensional system with friction. S.W. Shaw (Journal of Sound and Vibration, 1986) introduced the set up of different coefficients for the static and dynamic phases (also called stick and slip phases). He…

Dynamical Systems · Mathematics 2021-04-07 A. Bensoussan , A. Brouste , F. B. Cartiaux , C. Mathey , L. Mertz

A huge number of technological and biological systems involves the lubricated contact between rough surfaces of soft solids in relative accelerated motion. Examples include dynamical rubber seals and the human joints. In this study we…

Soft Condensed Matter · Physics 2017-02-09 M. Scaraggi , L. Dorogin , J. Angerhausen , H. Murrenhoff , B. N. J. Persson

We present realistic 3D numerical simulations of elastic bodies sliding on top of each other in a regime of velocities ranging from meters to tens of meters per second using the so-called Smoothed Particle Hydrodynamics (SPH) method. Our…

Statistical Mechanics · Physics 2015-06-25 C. Maveyraud , W. Benz , G. Ouillon , A. Sornette , D. Sornette

Frictional weakening by vibrations was first invoked in the 70's to explain unusual fault slips and earthquakes, low viscosity during the collapse of impact craters or the extraordinary mobility of sturzstroms, peculiar rock avalanches…

Geophysics · Physics 2018-03-26 V. Vidal , C. Oliver , H. Lastakowski , G. Varas , J. -C Géminard

We consider third-order dynamic systems which have an integral feedback action and discontinuous relay disturbance. More specifically for the applications, the focus is on the integral plus state-feedback control of the motion systems with…

Optimization and Control · Mathematics 2025-02-18 Michael Ruderman

The transition from static to dynamic friction when an elastic body is slid over another is now known to result from the motion of interface rupture fronts. These fronts may be either crack-like or pulse-like, with the latter involving…

Soft Condensed Matter · Physics 2024-03-06 Vineet Dawara , Koushik Viswanathan

Wearless dry friction of an elastic block of weight N, driven by an external force F over a rigid substrate, is investigated. The slider and substrate surfaces are both microscopically rough, interacting via a repulsive potential that…

Statistical Mechanics · Physics 2009-10-28 A. Volmer , T. Nattermann

This study numerically investigated the friction of viscoelastic objects with grooves. A 3D viscoelastic block with grooves on a rigid substrate is slowly pushed from the lateral side under uniform pressure on the top surface. The local…

Materials Science · Physics 2024-01-19 Wataru Iwashita , Hiroshi Matsukawa , Michio Otsuki

We report a surprising hysteretic behavior in the dynamics of a simple one-dimensional nonlinear model inspired by the tribological problem of two sliding surfaces with a thin solid lubricant layer in between. In particular, we consider the…

Materials Science · Physics 2012-10-29 Andrea Vanossi , Giuseppe E. Santoro , Nicola Manini , Marco Cesaratto , Erio Tosatti

We report an experimental, numerical and theoretical study of the motion of a ball on a rough inclined surface. The control parameters are $D$, the diameter of the ball, $\theta$, the inclination angle of the rough surface and $E_{ki}$, the…

Soft Condensed Matter · Physics 2009-10-30 C. Henrique , M. A. Aguirre , A. Calvo , I. Ippolito , S. Dippel , G. G. Batrouni , D. Bideau

The stability of steady, dynamic, anti-plane slipping at a planar interface between two dissimilar anisotropic linear elastic solids is studied. The solids are assumed to possess a plane of symmetry normal to the slip direction, so that…

Mathematical Physics · Physics 2009-03-04 K. Ranjith

We study the rolling and sliding motion of droplets on a corrugated substrate by Molecular Dynamics simulations. Droplets are driven by an external body force (gravity) and we investigate the velocity profile and dissipation mechanisms in…

Soft Condensed Matter · Physics 2009-11-13 J. Servantie , M. Müller

Planar sliding of objects is modeled and analyzed. The model can be used for non-prehensile manipulation of objects lying on a surface. We study possible motions generated by frictional contacts, such as those arising between a soft finger…

Robotics · Computer Science 2019-04-16 M. Mahdi Ghazaei Ardakani , Joao Bimbo , Domenico Prattichizzo

We analyze a bubble forming system composed of particles with competing long range repulsive and short range attractive interactions driven over a quasi-one-dimensional periodic substrate. We find various pinned and sliding phases as a…

Soft Condensed Matter · Physics 2024-01-26 C. Reichhardt , C. J. O. Reichhardt

We develop the theory for stick-slip motion in ultra-thin liquid films confined between two moving atomically-flat surfaces. Our model is based on hydrodynamic equation for the flow coupled to the dynamic order parameter field describing…

Materials Science · Physics 2016-08-31 I. S. Aranson , L. S. Tsimring , V. M. Vinokur