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Mean field slider block models have provided an important entry point for understanding the behavior of discrete driven threshold systems. We present a method of constructing these models with an arbitrary frictional weakening function.…

统计力学 · 物理学 2007-05-23 Eric F. Preston , Jorge S. Sá Martins , John B. Rundle

Thermodynamic equations for a solid and a solid continuum under stress are derived on the basis of a multicomponent mean field Markov process for thermofluctuation kinetics of microcracks. The resulting continuum is viscous elastoplastic…

数学物理 · 物理学 2014-04-03 V. M. Gertsik , A. L. Petrosyan

Based on the convex force-motion polynomial model for quasi-static sliding, we derive the kinematic contact model to determine the contact modes and instantaneous object motion on a supporting surface given a position controlled…

机器人学 · 计算机科学 2017-05-31 Jiaji Zhou , J. Andrew Bagnell , Matthew T. Mason

We study the motion of elastic networks driven over a random substrate. Our model which includes local friction forces leads to complex dynamical behavior. We find a transition to a sliding state which belongs to a new universality class.…

统计力学 · 物理学 2015-06-25 Itzhak Webman , Jose Luis Gruver , Shlomo Havlin

Friction laws, which are a key to the understanding of the diversity of earthquakes, are considered theoretically. Using dimensional analysis, the logarithmic dependence of the friction coefficient on the slip velocity and the state…

地球物理 · 物理学 2015-08-21 Takahiro Hatano

In this paper, we propose a stochastic dynamic model for earthquake rupture and suggest that the Langevin equation of frictions may be used for interpreting the slip distributions of rupture processes in earthquakes. The steady-state…

地球物理 · 物理学 2019-02-14 Tsung-Hsi Wu , Chien-Chih Chen

Using large scale numerical simulations we analyze the statistical properties of fracture in the two dimensional random spring model and compare it with its scalar counterpart: the random fuse model. We first consider the process of crack…

材料科学 · 物理学 2009-11-11 Phani Kumar V. V. Nukala , Stefano Zapperi , Srdan Simunovic

We have developed a model that describes the major characteristics of a rupture, ranging from regular earthquakes (EQs) to slow slip events (SSEs), including episodic tremor and slip (ETS). Previous model predictions, while accurate, are…

地球物理 · 物理学 2019-09-11 Naum I. Gershenzon , Cong Zhou , Thomas Skinner

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…

材料科学 · 物理学 2025-11-26 Yulong Li , Peter Gumbsch , Christian Greiner

We report on the dynamics of a model frictional system submitted to minute external perturbations. The system consists of a chain of sliders connected through elastic springs that rest on an incline. By introducing cyclic expansions and…

经典物理 · 物理学 2015-06-03 Baptiste Blanc , Luis A. Pugnaloni , Jean-Christophe Géminard

The friction force, friction coefficients and the effects on the dynamics of particles, bodies and systems, are fundamental themes in university physics of the first cycles and also in general physics courses of upper secondary education in…

物理教育 · 物理学 2024-10-01 Mauricio López-Reyes

The origin of friction force is a very old problem in physics, which goes back to Leonardo da Vinci or even older times. Extremely important from a practical point of view, but with no satisfactory explanation yet. Many models have been…

介观与纳米尺度物理 · 物理学 2018-10-31 Maria Luján Iglesias , Sebastián Gonçalves

An overview of computer simulations of tribology is presented. The chapter begins with a brief overview of simulation techniques and the special requirements for simulations of tribological processes. Then simple one-dimensional models of…

材料科学 · 物理学 2007-05-23 Mark O. Robbins , Martin H. Müser

Many studies investigated the application of statistical mechanics to damage phenomena. However, so far the association of damage with statistical mechanics is far from completely developed. One of the most successful approaches maps the…

统计力学 · 物理学 2009-12-28 S. G. Abaimov

Mean-field coupled lattice maps are used to approximate the physics of driven threshold systems with long range interactions. However, they are incapable of modeling specific features of the dynamic instability responsible for generating…

适应与自组织系统 · 物理学 2009-11-10 Eric F. Preston , Jorge S. Sa Martins , John Rundle

Developing the non-equilibrium thermodynamics of friction is required for systematic design of low friction surfaces for a broad range of technological applications. Intuitively, the thermodynamic work done by a material sliding along a…

介观与纳米尺度物理 · 物理学 2019-11-07 Paola Carolina Torche , Tomas Polcar , Ondrej Hovorka

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…

混沌动力学 · 物理学 2017-03-23 Mikhail Popov , Valentin L. Popov , Nikita V. Popov

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…

材料科学 · 物理学 2009-11-07 C. Daly , J. Zhang , J. B. Sokoloff

Disorder and long-range interactions are two of the key components that make material failure an interesting playfield for the application of statistical mechanics. The cornerstone in this respect has been lattice models of the fracture in…

统计力学 · 物理学 2009-11-11 Mikko J. Alava , Phani K. V. V. Nukala , Stefano Zapperi

The static as well as the dynamic behaviour of granular material are determined by dynamic {\it and} static friction. There are well known methods to include static friction in molecular dynamics simulations using scarcely understood…

高能物理 - 格点 · 物理学 2009-10-22 T. Poeschel , V. Buchholtz