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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

This paper introduces a linear state-space model with time-varying dynamics. The time dependency is obtained by forming the state dynamics matrix as a time-varying linear combination of a set of matrices. The time dependency of the weights…

Machine Learning · Statistics 2014-10-06 Jaakko Luttinen , Tapani Raiko , Alexander Ilin

In this article, we present a mathematical model that answers a classical question concerning how much force, which is generally called static friction force, will it require to initiate the motion of a soft solid block such as gel, rubber…

Soft Condensed Matter · Physics 2016-02-03 Vinay A. Juvekar , Arun K. Singh

This paper develops a comprehensive two-dimensional generalisation of the recently introduced Friction with Bristle Dynamics (FrBD) framework for rolling contact problems. The proposed formulation extends the one-dimensional FrBD model to…

Applied Physics · Physics 2026-05-05 Luigi Romano

We present a theoretical study related to a recent experiment on the coalescence of sessile drops. The study deals with the kinetics of relaxation towards equilibrium, under the action of surface tension, of a spheroidal drop on a flat…

Soft Condensed Matter · Physics 2016-01-27 Vadim Nikolayev , Daniel Beysens

The origin of wear particles in metallic sliding contacts remains debated. Classical views based on cold-welded junctions suggest that plastic yielding of the real contact area should lead to large wear coefficients, in apparent…

Soft Condensed Matter · Physics 2026-01-27 R. Xu , B. N. J. Persson

We examine a simple mechanism for the spatio-temporal evolution of transient, slow slip. We consider the problem of slip on a fault that lies within an elastic continuum and whose strength is proportional to sliding rate. This rate…

Geophysics · Physics 2024-09-06 Robert C. Viesca , Pierre Dublanchet

In this paper, we introduce a methodology applicable to a wide range of localized two-dimensional sources of stress. This methodology is based on a geometric formulation of elasticity. Localized sources of stress are viewed as singular…

Soft Condensed Matter · Physics 2016-01-20 Michael Moshe , Eran Sharon , Raz Kupferman

New forms of empirical formulae that provide an approximate description of the decay of shock pressure with distance in hypervelocity impacts are proposed. These forms, which are intended for use in applications such as large-scale mantle…

Earth and Planetary Astrophysics · Physics 2017-02-21 Thomas Ruedas

We discuss the general link between mode-coupling like equations (which serve as the basis of some recent theories of supercooled liquids) and the dynamical equations governing mean-field spin-glass models, or the dynamics of a particle in…

Condensed Matter · Physics 2015-06-25 Jean-Philippe Bouchaud , Leticia Cugliandolo , Jorge Kurchan , Marc Mézard

Wrinkling is the phenomenon of out-of-plane deformation patterns in thin walled structures, as a result of a local compressive (internal) loads in combination with a large membrane stiffness and a small but non-zero bending stiffness.…

Numerical Analysis · Mathematics 2025-03-20 H. M. Verhelst , M. Möller , J. H. Den Besten

This article generalizes the conditional probability interpretation of time in which time evolution is realized through entanglement between a clock and a system of interest. This formalism is based upon conditioning a solution to the…

Quantum Physics · Physics 2019-07-10 Alexander R. H. Smith , Mehdi Ahmadi

Surface temperature is among crucial factors, which control wear during sliding dry contact. Using computer modeling, we study the possibility to achieve close to zero rate of surface wear during sliding friction of the special type of…

Computational Physics · Physics 2020-10-21 Aleksandr S. Grigoriev , Evgeny V. Shilko , Andrey I. Dmitriev , Sergey Yu. Tarasov

We simultaneously measure the static friction and the real area of contact between two solid bodies. Under static conditions both quantities increase logarithmically in time, a phenomenon coined aging. Indeed, frictional strength is…

Soft Condensed Matter · Physics 2020-03-04 Sam Dillavou , Shmuel M Rubinstein

For the numerical simulation of time-dependent problems, recent works suggest the use of a time marching scheme based on a tensorial decomposition of the time axis. This time-separated representation is straightforwardly introduced in the…

Computational Engineering, Finance, and Science · Computer Science 2023-04-24 Angelo Pasquale , Sebastian Rodriguez , Khanh Nguyen , Amine Ammar , Francisco Chinesta

By introducing height dependency in the surface energy density, we propose a novel regularized variational model to simulate wetting/dewetting problems. The regularized model leads to the appearance of a precursor layer which covers the…

Analysis of PDEs · Mathematics 2022-08-18 Wei Jiang , Zhen Zhang , Zeyu Zhou

Temporal networks of face-to-face interactions between individuals are useful proxies of the dynamics of social systems on fast time scales. Several empirical statistical properties of these networks have been shown to be robust across a…

Physics and Society · Physics 2023-02-03 Didier Le Bail , Mathieu Génois , Alain Barrat

Friction in static and sliding contact of rough surfaces is important in numerous physical phenomena. We seek to understand macroscopically observed static and sliding contact behavior as the collective response of a large number of…

Soft Condensed Matter · Physics 2018-11-12 Srivatsan Hulikal , Nadia Lapusta , Kaushik Bhattacharya

Gradient, chemically modified, flat surfaces enable directed transport of droplets. Calculation of apparent contact angles inherent for gradient surfaces is challenging even for atomically flat ones. Wetting of gradient, flat solid surfaces…

Fluid Dynamics · Physics 2018-01-16 Edward Bormashenko

In this paper, we present a novel approach to model the fluid/solid interaction forces in a direct solver of the Navier-Stokes equations based on the volume of fluid interface tracking method. The key ingredient of the model is the explicit…

Fluid Dynamics · Physics 2015-06-16 Kyle Mahady , Shahriar Afkhami , Lou Kondic