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We investigate the dynamics of finite degree-of-freedom, planar mechanical systems with multiple sliding, unilateral frictional point contacts. A complete classification of systems with 2 sliding contacts is given. The contact-mode based…

经典物理 · 物理学 2017-05-24 Péter L. Várkonyi

This paper analyses in detail the dynamics in a neighbourhood of a G\'enot-Brogliato point, colloquially termed the G-spot, which physically represents so-called dynamic jam in rigid body mechanics with unilateral contact and Coulomb…

动力系统 · 数学 2017-07-27 Arne Nordmark , Peter Varkonyi , Alan Champneys

The 120-year old so-called Painleve paradox involves the loss of determinism in models of planar rigid bodies in point contact with a rigid surface, subject to Coulomb-like dry friction. The phenomenon occurs due to coupling between normal…

经典物理 · 物理学 2016-01-15 Alan R Champneys , Peter L Varkonyi

We numerically study the jamming transition in particulate systems with attraction by investigating their mechanical response at zero temperature. We find three regimes of mechanical behavior separated by two critical…

软凝聚态物质 · 物理学 2009-11-13 Gregg Lois , Jerzy Blawzdziewicz , Corey S. O'Hern

Numerous soft materials jam into an amorphous solid at high packing fraction. This non-equilibrium phase transition is best understood in the context of a model system in which particles repel elastically when they overlap. Recently,…

软凝聚态物质 · 物理学 2020-08-26 Dion J. Koeze , Lingtjien Hong , Abhishek Kumar , Brian P. Tighe

The transition from static to dynamic friction when an elastic body is slid over another is now known to result from the motion of interface rupture fronts. These fronts may be either crack-like or pulse-like, with the latter involving…

软凝聚态物质 · 物理学 2024-03-06 Vineet Dawara , Koushik Viswanathan

One of the most common hypotheses on the theory of non-smooth dynamical systems is a regular surface as switching manifold, at which case there is at least well-defined and established Filippov dynamics. However, systems with singular…

动力系统 · 数学 2021-05-31 Guilherme Tavares da Silva , Ricardo Miranda Martins

In this work we provide an overview of jamming transitions in two dimensional systems focusing on the limit of frictionless particle interactions in the absence of thermal fluctuations. We first discuss jamming in systems with short range…

软凝聚态物质 · 物理学 2017-12-06 C. Reichhardt , C. J. Olson Reichhardt

Many systems in nature exhibit transitions between fluid-like states and solid-like states, or "jamming transitions". There is a strong theoretical foundation for understanding equilibrium phase transitions that involve solidification, or…

软凝聚态物质 · 物理学 2008-11-14 Michael Dennin

Jamming is a fundamental transition that governs the mechanical behavior of particulate media, including sand, foam and dense suspensions but also biological tissues: Upon compression, particulate media can change from freely flowing to a…

软凝聚态物质 · 物理学 2022-03-10 Zhaoyu Xie , Timothy J Atherton

While the large majority of theoretical and numerical studies of the jamming transition consider athermal packings of purely repulsive spheres, real complex fluids and soft solids generically display attraction between particles. By…

软凝聚态物质 · 物理学 2018-11-07 Dion J. Koeze , Brian P. Tighe

The criticality of the jamming transition responsible for amorphous solidification has been theoretically linked to the marginal stability of a thermodynamic Gardner phase. While the critical exponents of jamming appear independent of the…

无序系统与神经网络 · 物理学 2023-06-23 Qinyi Liao , Ludovic Berthier , Hai-Jun Zhou , Ning Xu

Frictional motion is harder to initiate than to sustain, as evident when pushing a heavy object. This disparity between static and kinetic friction drives instabilities and stick-slip dynamics in systems ranging from nanodevices and MEMS to…

软凝聚态物质 · 物理学 2025-10-17 Kasra Farain , Daniel Bonn

An exact transformation method is introduced that reduces the governing equations of a continuum structure coupled to strong nonlinearities to a low dimensional equation with memory. The method is general and well suited to problems with…

动力系统 · 数学 2014-03-05 Robert Szalai

We use computer simulations to study the microscopic dynamics of an athermal assembly of soft particles near the fluid-to-solid, jamming transition. Borrowing tools developed to study dynamic heterogeneity near glass transitions, we…

材料科学 · 物理学 2010-06-24 Claus Heussinger , Ludovic Berthier , Jean-Louis Barrat

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

The discontinuous jump in the bulk modulus $B$ at the jamming transition is a consequence of the formation of a critical contact network of spheres that resists compression. We introduce lattice models with underlying under-coordinated…

软凝聚态物质 · 物理学 2019-04-03 Danilo B. Liarte , Xiaoming Mao , Olaf Stenull , T. C. Lubensky

Dynamic jamming is a phenomenon whereby a dense suspension switches from a fluid-like to a solid-like state when subjected to sufficient stress and deformation. Large enough systems show that this transition is accompanied by a distinct…

软凝聚态物质 · 物理学 2021-07-12 Olav Ro mcke , Ivo R. Peters , R. Jason Hearst

We investigate universal features of the jamming transition in granular materials, colloids and glasses. We show that the jamming transition in these systems has common features: slowing of response to external perturbation, and the onset…

软凝聚态物质 · 物理学 2007-05-23 S. F. Edwards , D. V. Grinev

The connection between friction and jamming in granular media, molecular glasses, and complex fluids is explored. The paper first reviews the way friction is measured, the types of results that are observed, and what is known about the…

软凝聚态物质 · 物理学 2007-05-23 Mark O. Robbins
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