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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

Contact angle hysteresis of droplets will be examined in light of static friction between liquid drop and solid surface. Unlike frictions in solid-solid interfaces, pinning forces at contact points or contact lines would be the cause of…

Fluid Dynamics · Physics 2024-12-03 Jong-In Yang , Jooyoo Hong

We present a mathematical and numerical framework for thin-film fluid flows over planar surfaces including dynamic contact angles. In particular, we provide algorithmic details and an implementation of higher-order spatial and temporal…

Numerical Analysis · Mathematics 2022-06-15 Dirk Peschka , Luca Heltai

A solid-liquid-gas moving contact line is considered through a diffuse-interface model with the classical boundary condition of no-slip at the solid surface. Examination of the asymptotic behaviour as the contact line is approached shows…

Fluid Dynamics · Physics 2013-10-07 David N. Sibley , Andreas Nold , Nikos Savva , Serafim Kalliadasis

Contact angle is an essential physical quantity that characterizes the wettability of a substrate. Although it is widely used in the studies of surface wetting, capillary phenomena and moving contact lines, measuring contact angles in…

Fluid Dynamics · Physics 2022-02-15 Yangsha Liu , Yichen Yao , Quanying Li , Binghai Wen

A mathematically challenging model of dynamic wetting as a process of interface formation has been, for the first time, fully incorporated into a numerical code based on the finite element method and applied, as a test case, to the problem…

Fluid Dynamics · Physics 2015-06-04 James Sprittles , Yulii Shikhmurzaev

Understanding the physics of a three-phase contact line between gas, liquid, and solid is important for numerous applications. At the macroscale, the three-phase contact line response to an external force action is often characterized by a…

In this paper, we present a principled method to model general planar sliding motion with distributed convex contact patch. The effect of contact patch with indeterminate pressure distribution can be equivalently modeled as the contact…

Robotics · Computer Science 2019-04-18 Jiayin Xie , Nilanjan Chakraborty

We present a newly developed approach for the calculation of interfacial stiffness and contact area evolution between two rough bodies exhibiting self affine surface structures. Using spline assisted discretization to define localised…

Soft Condensed Matter · Physics 2021-06-04 Dorian Hanaor , Yixiang Gan , Itai Einav

Numerical and analytical methods are developed for the investigation of contact sets in electrostatic-elastic deflections modeling micro-electro mechanical systems. The model for the membrane deflection is a fourth-order semi-linear partial…

Numerical Analysis · Mathematics 2020-04-20 Kelsey L. DiPietro , Ronald D. Haynes , Weizhang Huang , Alan E. Lindsay , Yufei Yu

The design of contact interfaces that meet quantitatively a specified friction law (friction force vs normal force) is challenging due to the multi-scale and multi-physics nature of contact interactions. Recently, a concept was proposed to…

Dynamic wetting plays an important role in the physics of multiphase flow, and has significant influence on many industrial and geotechnical applications. In this work, a modified smoothed particle hydrodynamics (SPH) model is employed to…

Soft Condensed Matter · Physics 2018-04-10 Yanyao Bao , Ling Li , Luming Shen , Chengwang Lei , Yixiang Gan

We propose a novel and efficient lifting approach for the optimal control of rigid-body systems with contacts to improve the convergence properties of Newton-type methods. To relax the high nonlinearity, we consider the state, acceleration,…

Optimization and Control · Mathematics 2022-10-25 Sotaro Katayama , Toshiyuki Ohtsuka

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

The friction of a nanosized sphere in commensurate contact with a flat substrate is investigated by performing molecular dynamics simulations. Particular focus is on the distribution of shear stress within the contact region. It is noticed…

Materials Science · Physics 2020-09-28 Jian Wang , Weike Yuan , Jianjun Bian , Gangfeng Wang

Contact detection for continuum and soft robots has been limited in past works to statics or kinematics-based methods with assumed circular bending curvature or known bending profiles. In this paper, we adapt the generalized momentum…

Robotics · Computer Science 2025-05-07 Garrison L. H. Johnston , Neel Shihora , Nabil Simaan

This paper evaluates state-of-the-art contact models at predicting the motions and forces involved in simple in-hand robotic manipulations. In particular it focuses on three primitive actions --linear sliding, pivoting, and rolling-- that…

Robotics · Computer Science 2017-11-01 Roman Kolbert , Nikhil Chavan-Dafle , Alberto Rodriguez

In this work we propose an extension to the analytical one-dimensional model proposed by E. Gnecco (Phys. Rev. Lett. 84:1172) to describe friction. Our model includes normal forces and the dependence with the angular direction of movement…

Computational Physics · Physics 2007-12-04 R. A. Dias , P. Z. Coura , M. Rapini , B. V. Costa

Dynamic models, particularly rate-dependent models, have proven effective in capturing the key phenomenological features of frictional processes, whilst also possessing important mathematical properties that facilitate the design of control…

Systems and Control · Electrical Eng. & Systems 2026-02-12 Luigi Romano , Ole Morten Aamo , Jan Åslund , Erik Frisk

The movement of the triple contact line plays a crucial role in many applications such as ink-jet printing, liquid coating and drainage (imbibition) in porous media. To design accurate computational tools for these applications, predictive…

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