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Highly concentrated or 'dense" particle suspensions can undergo a sharp increase in viscosity, or shear thickening, under applies stress. Understanding the fundamental features leading to such rheological changes in dense suspensions is…

A two-dimensional \underline{Frenkel-Kontorova model} under a steady external force is used to study the nonlinear sliding friction between flat macroscopic surfaces with a lubricant layer in between. The nonequilibrium properties of the…

Condensed Matter · Physics 2007-05-23 E. Granato , M. R. Baldan , S. C. Ying

A continuum model of fracture that describes, in principle, the propagation and interaction of arbitrary distributions of cracks and voids with evolving topology without a fracture criterion is developed. It involves a 'law of motion' for…

Materials Science · Physics 2020-04-22 Amit Acharya

We study a model of spinless fermions with infinite nearest-neighbor repulsion on the square ladder which has microscopic supersymmetry. It has been conjectured that in the continuum the model is described by the superconformal minimal…

Strongly Correlated Electrons · Physics 2013-05-06 Bela Bauer , Liza Huijse , Erez Berg , Matthias Troyer , Kareljan Schoutens

Based on spatial-temporal resolved measurements of the stress field at crack tip based on polarized optical microscopy (str-POM), the stress analysis approach to elastomeric fracture uncovers new insights. We show new phenomenology in…

Soft Condensed Matter · Physics 2022-12-02 Zehao Fan , Shi-Qing Wang

The failure of frictional interfaces and the spatiotemporal structures that accompany it are central to a wide range of geophysical, physical and engineering systems. Recent geophysical and laboratory observations indicated that interfacial…

Materials Science · Physics 2015-03-19 Yohai Bar Sinai , Efim A. Brener , Eran Bouchbinder

Friction causes mechanical energy dissipation and material degradation in machinery and devices. While phononic friction is well understood via anharmonic lattice dynamics, the physics of electronic friction remains unclear due to…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Zhaokuan Yu , Jinbo Bian , Jin Wang , Zonghuiyi Jiang , Linxin Zhai , Xin Lu , Xiaofei Liu , Quanshui Zheng , Zhiping Xu

In many sliding systems consisting of solid object on a solid substrate under dry condition, the friction force does not depend on the apparent contact area and is proportional to the loading force. This behaviour is called Amontons' law…

Soft Condensed Matter · Physics 2013-04-05 Michio Otsuki , Hiroshi Matsukawa

Amontons' law postulates a monotonic relationship between frictional force and the normal load applied to a sliding contact. This empirical rule, however, fails in systems where internal degrees of freedom - such as structural or electronic…

Materials Science · Physics 2026-03-19 Hongri Gu , Anton Lüders , Clemens Bechinger

Using molecular dynamics we study the dependence of the friction force on the sliding speed when an elastic slab (block) is sliding on a rigid substrate with a ${\rm sin} (q_0 x)$ surface height profile. The friction force is nearly…

Soft Condensed Matter · Physics 2020-02-24 J. Wang , A. Tiwari , I. M. Sivebaek , B. N. J Persson

We investigate numerically a simple microscopic model to describe wearless dry friction between atomically flat contact interfaces without thermal fluctuations (T=0K). The analysis of the incommensurate ground state shows a breaking of…

Statistical Mechanics · Physics 2007-05-23 M. Einax , S. Trimper , H. -R. Hoeche , M. Schulz

Structural superlubricity is an intriguing physical phenomenon, whereby sliding at a structurally incommensurate, atomically flat interface yields vanishingly small friction forces. Despite its recent experimental validation, critical…

Mesoscale and Nanoscale Physics · Physics 2024-07-10 Wai H. Oo , Paul D. Ashby , Mehmet Z. Baykara

Mechanical vibrations are known to affect frictional sliding and the associated stick-slip patterns causing sometimes a drastic reduction of the friction force. This issue is relevant for applications in nanotribology and to understand…

Materials Science · Physics 2015-05-13 Rosario Capozza , Andrea Vanossi , Alessandro Vezzani , Stefano Zapperi

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

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

Shear thickening of suspensions is studied by discrete-particle simulation, accounting for hydrodynamic, repulsive, and contact forces. The contact forces, including friction, are activated when the imposed shear stress $\sigma$ is able to…

Soft Condensed Matter · Physics 2021-08-17 Omer Sedes , Bulbul Chakraborty , Hernan A. Makse , Jeffrey F. Morris

Description of the transitional process from a static to a dynamic frictional regime is a fundamental problem of modern physics. Previously we developed a model based on the well-known Frenkel-Kontorova model to describe dry macroscopic…

Geophysics · Physics 2014-11-26 Naum I. Gershenzon , Gust Bambakidis , Thomas Skinner

While there are a number of models that tackle the problem of calculating friction forces on the atomic level, providing a completely parameter-free approach remains a challenge. Here we present a quasi-static model to obtain an…

Mesoscale and Nanoscale Physics · Physics 2014-11-19 Michael Wolloch , Gregor Feldbauer , Peter Mohn , Josef Redinger , András Vernes

Friction is the basic, ubiquitous mechanical interaction between two surfaces that results in resistance to motion and energy dissipation. In spite of its technological and economic significance, our ability to control friction remains…

Atomic Physics · Physics 2018-08-10 Dorian Gangloff , Alexei Bylinskii , Ian Counts , Wonho Jhe , Vladan Vuletić

The analogy between frictional cracks, propagating along interfaces in frictional contact, and ordinary cracks in bulk materials is important in various fields. We consider a stress-controlled frictional crack propagating at a velocity…

Materials Science · Physics 2025-04-08 Efim A. Brener , Eran Bouchbinder
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