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We introduce a model of friction between two contacting (stationary or co-sliding) rough surfaces, each comprising a random ensemble of polydisperse hemispherical bumps. In the simplest version of the model, the bumps experience on contact…

Soft Condensed Matter · Physics 2023-05-10 Suzanne M Fielding

In the first part of the article using a direct calculation two-dimensional motion of a particle sliding on an inclined plane is investigated for general values of friction coefficient ($\mu$). A parametric equation for the trajectory of…

Classical Physics · Physics 2011-06-14 Cina Aghamohammadi , Amir Aghamohammadi

The nature of an instability that controls the transition from static to dynamical friction is studied in the the context of an array of frictional disks that are pressed from above on a substrate. In this case the forces are all explicit…

Statistical Mechanics · Physics 2020-01-29 Harish Charan , Joyjit Chattoraj , Massimo Pica Ciamarra , Itamar Procaccia

The topological force and torque are investigated in the systems with spin-orbit coupling. Our results show that the topological force and torque appears as a pure relativistic quantum effect in an electromagnetic field. The origin of both…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 F. J. Huang , R. Qi , Y. D. Li , W. M. Liu

The mechanical response of elastic porous media confined within rigid geometries is central to a wide range of industrial, geological, and biomedical systems. However, current models for these problems typically overlook the role of wall…

Soft Condensed Matter · Physics 2026-03-12 Térence Desclaux , Callum Cuttle , Chris W. MacMinn , Olivier Liot

We present a minimal quasistatic 1D model describing the kinematics of the transition from static friction to stick-slip motion of a linear elastic block on a rigid plane. We show how the kinematics of both the precursors to frictional…

Classical Physics · Physics 2011-01-04 Julien Scheibert , Dag Kristian Dysthe

We investigate the force of flowing granular material on an obstacle. A sphere suspended in a discharging silo experiences both the weight of the overlaying layers and drag of the surrounding moving grains. In experiments with frictional…

Soft Condensed Matter · Physics 2023-12-14 Jing Wang , Bo Fan , Tivadar Pongó , Tamás Börzsönyi , Raúl Cruz Hidalgo , Ralf Stannarius

The mechanics of puncture and soft solid penetration is commonly explored with the assumption of frictionless contact between the needle (penetrator) and the specimen. This leads to the hypothesis of a constant penetration force.…

Soft Condensed Matter · Physics 2024-12-04 Stefano Fregonese , Mattia Bacca

Friction causes mechanical energy dissipation and material degradation in machinery and devices. While phononic friction is well understood via anharmonic lattice dynamics, the physics of electronic friction remains unclear due to…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Zhaokuan Yu , Jinbo Bian , Jin Wang , Zonghuiyi Jiang , Linxin Zhai , Xin Lu , Xiaofei Liu , Quanshui Zheng , Zhiping Xu

Experiments on the motion of a particle on an inclined rough plane have yielded some surprising results. For example, it was found that the frictional force acting on the ball is viscous, {\it i.e.} proportional to the velocity rather than…

Condensed Matter · Physics 2009-10-28 G. G. Batrouni , S. Dippel , L. Samson

We present a study of sliding friction for rigid triangular steel sliders on soft rubber substrates under both lubricated and dry conditions. For rubber surfaces lubricated with a thin film of silicone oil, the measured sliding friction at…

Soft Condensed Matter · Physics 2025-05-27 R. Xu , B. N. J. Persson

The morphology of an elastic strip subject to vertical compressive stress on a frictional rigid substrate is investigated by a combination of theory and experiment. We find a rich variety of morphologies, which -when the bending elasticity…

Soft Condensed Matter · Physics 2017-05-03 Tomohiko G. Sano , Tetsuo Yamaguchi , Hirofumi Wada

Lubricated sliding contact between soft solids is an interesting topic in biomechanics and for the design of small-scale engineering devices. As a model of this mechanical set-up, two elastic nonlinear solids are considered jointed through…

Classical Physics · Physics 2020-01-16 D. Bigoni , N. Bordignon , A. Piccolroaz , S. Stupkiewicz

As a fundamental force, friction exerts a profound influence on various aspects of our daily lives across multiple disciplines. To understand why adhesive friction is associated with the contact area, here we investigate the generic sliding…

Soft Condensed Matter · Physics 2025-10-29 Puyu Cao , Meicheng Yao , Bin Chen

Gravitational coupling between planets and protoplanetary discs is responsible for many important phenomena such as planet migration and gap formation. The key quantitative characteristics of this coupling is the excitation torque density…

Earth and Planetary Astrophysics · Physics 2023-06-14 Nicolas P. Cimerman , Roman R. Rafikov , Ryan Miranda

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…

Soft Condensed Matter · Physics 2007-07-12 B. N. J. Persson , A. I. Volokitin

We experimentally study the frictional behavior of a two-dimensional slider pulled slowly over a granular substrate comprised of photoelastic disks. The slider is vibrated at frequencies ranging from 0 to 30 Hz in a direction parallel to…

Soft Condensed Matter · Physics 2018-12-18 Abram H. Clark , Robert P. Behringer , Jacqueline Krim

Perturbation theory, simulations and scaling arguments predict that there should be no static friction for two weakly interacting flat atomically smooth clean solid surfaces. The absence of static friction results from the fact that the…

Materials Science · Physics 2007-05-23 J. B. Sokoloff

Frictional sliding is an intrinsically complex phenomenon, emerging from the interplay between driving forces, elasto-frictional instabilities, interfacial nonlinearity and dissipation, material inertia and bulk geometry. We show that…

Soft Condensed Matter · Physics 2023-08-25 Thibault Roch , Efim A. Brener , Jean-Francois Molinari , Eran Bouchbinder

The problem of a general, symmetric contact, between elastically similar bodies, and capable of idealisation using half-plane theory, is studied in the presence of interfacial friction. It is subject to a constant set of loads - normal…

Soft Condensed Matter · Physics 2019-04-01 Hendrik Andresen , David A. Hills , James R. Barber , Jesus Vazquez