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Using an adiabatic approximation method, which searches for Tomlinson model-like instabilities for a simple but still realistic model for two crystalline surfaces in the extremely light contact limit, with mobile molecules present at the…

Materials Science · Physics 2009-11-07 C. Daly , J. Zhang , J. B. Sokoloff

A new method has been proposed to evaluate the frictional force in the stationary state. This method is applied to the 1-dimensional model of clean surfaces. The kinetic frictional force is seen to depend on velocity in general, but the…

Condensed Matter · Physics 2009-10-22 Hiroshi Matsukawa , Hidetoshi Fukuyama

Many devices, including touchscreens and robotic hands, involve frictional contacts. Optimizing these devices requires fine control of the interface's friction law. We lack systematic methods to create dry contact interfaces whose…

Soft Condensed Matter · Physics 2024-02-20 Antoine Aymard , Emilie Delplanque , Davy Dalmas , Julien Scheibert

The coefficient of static friction between solids generally depends on the time they have remained in static contact before the measurement. Such frictional aging is at the origin of the difference between static and dynamic friction…

Soft Condensed Matter · Physics 2023-07-12 Kasra Farain , Daniel Bonn

Frictional forces are a key ingredient of any physical description of the macroscopic world, as they account for the phenomena causing transformation of mechanical energy into heat. They are ubiquitous in nature, and a wide range of…

Soft Condensed Matter · Physics 2024-07-08 Andrea Plati , Alberto Petri , Marco Baldovin

The present paper is devoted to a theoretical analysis of sliding friction under the influence of oscillations perpendicular to the sliding plane. In contrast to previous works we analyze the influence of the stiffness of the tribological…

Chaotic Dynamics · Physics 2017-03-23 Mikhail Popov , Valentin L. Popov , Nikita V. Popov

For the contact of two finite portions of interacting rigid crystalline surfaces, we compute the dependence of the pinning energy barrier on the misfit angle and contact area. The resulting data are used to investigate the distribution of…

Statistical Mechanics · Physics 2011-07-19 Nicola Manini , O. M. Braun

We study the adhesive contact between elastic solids with randomly rough, self affine fractal surfaces. We present molecular dynamics (MD) simulation results for the interfacial stress distribution and the wall-wall separation. We compare…

Soft Condensed Matter · Physics 2009-11-13 C. Yang , B. N. J. Persson , J. Israelachvili , K. Rosenberg

In this paper, we study, from both variational and numerical points of view, a dynamic contact problem between a viscoelastic-viscoplastic piezoelectric body and a deformable obstacle. The contact is modelled using the classical normal…

Analysis of PDEs · Mathematics 2017-03-14 M. Campo , J. R. Fernández , Á. Rodríguez-Arós , J. M. Rodríguez

Rolling of a small sphere on a solid support is governed by a non-linear friction that is akin to the Coulombic dry fiction. No motion occurs when the external field is weaker than the frictional resistance. However, with the intervention…

Statistical Mechanics · Physics 2012-03-22 P. S. Goohpattader , M. K. Chaudhury

A microscopic theory for the ubiquitous phenomenon of static friction is presented. Interactions between two surfaces are modeled by an energy penalty that increases exponentially with the degree of surface overlap. The resulting static…

Materials Science · Physics 2009-10-31 M. H. Müser , L. Wenning , M. O. Robbins

A fluid-structure interaction technique for the simulation of inflatable structures is introduced. The presented finite-element/boundary-element (FEBE) technique couples an isogeometric finite element discretization of a flexible shell…

Numerical Analysis · Mathematics 2015-06-16 T. M. van Opstal

We show that the friction force and torque, acting at a dry contact of two objects moving and rotating relative to each other, are inherently coupled. As a simple test system, a sliding and spinning disk on a horizontal flat surface is…

Classical Physics · Physics 2009-11-07 Zeno Farkas , Guido Bartels , Tamas Unger , Dietrich E. Wolf

This paper proposes an online friction coefficient identification framework for legged robots on slippery terrain. The approach formulates the optimization problem to minimize the sum of residuals between actual and predicted states…

Robotics · Computer Science 2025-02-25 Hajun Kim , Dongyun Kang , Min-Gyu Kim , Gijeong Kim , Hae-Won Park

Simulation of contact and friction dynamics is an important basis for control- and learning-based algorithms. However, the numerical difficulties of contact interactions pose a challenge for robust and efficient simulators. A…

Robotics · Computer Science 2021-09-16 Jan Brüdigam , Jana Janeva , Stefan Sosnowski , Sandra Hirche

We introduce two improvements in the numerical scheme to simulate collision and slow shearing of irregular particles. First, we propose an alternative approach based on simple relations to compute the frictional contact forces. The approach…

Materials Science · Physics 2011-03-15 Andres A. Pena , Pedro G. Lind , Hans J. Herrmann

We present a simple model for the friction of two solid bodies moving against each other. In a self consistent way we can obtain the dependence of the macroscopic friction force as a function of the driving velocity, the normal force and…

Condensed Matter · Physics 2009-10-22 T. Poeschel , H. J. Herrmann

In this article, we present various numerical methods to solve multi-contact problems within the Non-Smooth Discrete Element Method. The techniques considered to solve the frictional unilateral conditions are based both on the bi-potential…

Numerical Analysis · Mathematics 2012-04-27 Serge Dumont

Soft elastic sheets resting on rigid surfaces develop wrinkles, rucks, and folds due to the combined influence of elasticity, gravity, and contact interactions. Despite their ubiquity, the principles governing their morphology and…

Soft Condensed Matter · Physics 2026-05-18 Keisuke Yoshida , Hirofumi Wada

Cementless implants are widely used in orthopedic and oral surgery. However, debonding-related failure still occurs at the bone-implant interface. It remains difficult to predict such implant failure since the underlying osseointegration…

Medical Physics · Physics 2020-02-24 Katharina Immel , Thang X. Duong , Vu-Hieu Nguyen , Guillaume Haiat , Roger A. Sauer