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Contact angle is an important parameter in characterizing the wetting properties of fluids. The most common methods for measuring the contact angle is to measure it directly from the profile curve of a sessile drop, a method with certain…

Fluid Dynamics · Physics 2019-01-30 Feredoon Behroozi , Peter Behroozi

In the framework of the recently developed asymptotic models for tibio-femoral contact incorporating frictionless elliptical contact interaction between thin elastic, viscoelastic, or biphasic cartilage layers, we apply an asymptotic…

Analysis of PDEs · Mathematics 2012-05-08 Ivan Argatov

We propose a statistical model for static and sliding friction between rough surfaces. Approximating the contact between rough surfaces by the contact of an ensemble of one-dimensional viscoelastic elements with a rough rigid surface, we…

Soft Condensed Matter · Physics 2015-06-19 Srivatsan Hulikal , Kaushik Bhattacharya , Nadia Lapusta

The nonlinear damping characteristics of friction wedges in the secondary suspension of a freight bogie are investigated considering unidirectional contact and non-smooth frictional forces. In the proposed MultiBody System model, each wedge…

Classical Physics · Physics 2019-06-18 Reza Serajian , Mehrnoosh Abedi , Iman Hazrati Ashtiani

The real area of contact of a frictional interface changes rapidly when the normal load is altered, and evolves slowly when normal load is held constant, aging over time. Traditionally, the total area of contact is considered a proxy for…

Soft Condensed Matter · Physics 2020-03-12 Tom Pilvelait , Sam Dillavou , Shmuel M. Rubinstein

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 present two distributed methods for the estimation of the kinematic parameters, the dynamic parameters, and the kinematic state of an unknown planar body manipulated by a decentralized multi-agent system. The proposed approaches rely on…

Robotics · Computer Science 2018-09-25 Antonio Franchi , Antonio Petitti , Alessandro Rizzo

We consider the thin-film equation for a class of free boundary conditions modelling friction at the contact line, as introduced by E and Ren. Our analysis focuses on formal long-time asymptotics of solutions in the perfect wetting regime.…

Analysis of PDEs · Mathematics 2023-05-29 Lorenzo Giacomelli , Manuel V. Gnann , Dirk Peschka

Large scale molecular dynamics (MD) simulations on two-phase immiscible flows show that associated with the moving contact line, there is a very large $1/x$ partial-slip region where $x$ denotes the distance from the contact line. This…

Fluid Dynamics · Physics 2009-11-10 Tiezheng Qian , Xiao-Ping Wang , Ping Sheng

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

The main causes of energy dissipation in micro- and nano-scale wetting are viscosity and liquid-solid friction localized in the three-phase contact line region. Theoretical models predict the contactline friction coefficient to correlate…

Fluid Dynamics · Physics 2024-02-12 Michele Pellegrino , Berk Hess

An improved linear model is developed for elasto-plastic and adhesive contact. New correlations are proposed and validated to estimate the key input parameters of the model, including contact stiffness, yield point, maximum pull-off force…

Fluid Dynamics · Physics 2022-07-19 Wenguang Nan , Wei Pin Goh , Mohammad Tarequr Rahman

This paper proposes a friction model parameter identification routine that can work with highly nonlinear and chaotic systems. The chosen system for this study is a passively-actuated tilted Furuta pendulum, which is known to have a highly…

Systems and Control · Electrical Eng. & Systems 2022-04-07 Ali Wadi , Shayok Mukhopadhyay , Lotfi Romdhane

We describe a 2D spring-block model for the transition from static to kinetic friction at an elastic slider/rigid substrate interface obeying a minimalistic friction law (Amontons-Coulomb). By using realistic boundary conditions, a number…

We propose a model for unilateral contact with adhesion between a viscoelastic body and a rigid support, encompassing thermal and frictional effects. Following the approach by M. Fremond, adhesion is described in terms of a surface damage…

Analysis of PDEs · Mathematics 2012-07-23 Elena Bonetti , Giovanna Bonfanti , Riccarda Rossi

Many vesicles have a spherical resting shape and exposure to fluid flows induces an exchange between sub-optical area and visible (systematic) deformation, while the total area is conserved. The dynamics which controls the exchange between…

Soft Condensed Matter · Physics 2020-06-19 Afsoun Rahnama Falavarjani , David Salac

Friction is ubiquitous in daily life, from nanoscale machines to large engineering components. By probing the intricate interplay between system parameters and frictional behavior, scientists seek to unveil the underlying mechanisms that…

Materials Science · Physics 2025-11-26 Yulong Li , Peter Gumbsch , Christian Greiner

We study the flow close to an advancing contact line in the limit of small capillary number. To take into account wetting effects, both long and short-ranged contributions to the disjoining pressure are taken into account. In front of the…

Fluid Dynamics · Physics 2009-11-11 Jens Eggers

The onset of frictional motion is mediated by rupture-like slip fronts, which nucleate locally and propagate eventually along the entire interface causing global sliding. The static friction coefficient is a macroscopic measure of the…

Soft Condensed Matter · Physics 2021-02-03 Gabriele Albertini , Simon Karrer , Mircea D. Grigoriu , David S. Kammer

We consider the spreading of a thin two-dimensional droplet on a solid substrate. We use a model for viscous fluids where the evolution is governed by Darcy's Law. At the triple point where air and liquid meet the solid substrate, the…

Analysis of PDEs · Mathematics 2012-04-12 Hans Knüpfer , Nader Masmoudi