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This article is concerned with the dynamic behaviour of two immiscible and incompressible fluids in a cylindrical domain, which are separated by a sharp interface. In case that the heavy fluid is situated on top of the light fluid, one…

Analysis of PDEs · Mathematics 2017-03-16 Mathias Wilke

We review the present state of understanding of solid friction at low velocities and for systems with negligibly small wear effects. We first analyze in detail the behavior of friction at interfaces between wacroscopic hard rough solids,…

Soft Condensed Matter · Physics 2015-06-25 Tristan Baumberger , Christiane Caroli

It is shown on the basis of scaling arguments that a disordered interface between two elastic solids will quite generally exhibit static and "dry friction" (i.e., kinetic friction which does not vanish as the sliding velocity approaches…

Materials Science · Physics 2009-11-13 J. B. Sokoloff

A theoretical model is proposed for low temperature friction between two smooth rigid solid surfaces separated by lubricant molecules, admitting their deformations and rotations. Appearance of different modes of energy dissipation (by…

Materials Science · Physics 2009-11-10 V. M. Loktev , Yu. G. Pogorelov

A pure and incompressible material is confined between two plates such that it is heated from below and cooled from above. When its melting temperature is comprised between these two imposed temperatures, an interface separating liquid and…

Fluid Dynamics · Physics 2020-02-11 Jhaswantsing Purseed , Benjamin Favier , Laurent Duchemin , Eric W. Hester

We measure the elastic and dissipative responses of a multicontact interface, formed between the rough surfaces of two contacting macroscopic solids, submitted to a biased oscillating shear force. We evidence that beyond a linear…

Soft Condensed Matter · Physics 2007-05-23 L. Bureau , C. Caroli , T. Baumberger

Planar sliding of objects is modeled and analyzed. The model can be used for non-prehensile manipulation of objects lying on a surface. We study possible motions generated by frictional contacts, such as those arising between a soft finger…

Robotics · Computer Science 2019-04-16 M. Mahdi Ghazaei Ardakani , Joao Bimbo , Domenico Prattichizzo

We report a molecular dynamics study of the contact between a rigid solid with a randomly rough surface and an elastic block with a flat surface. We study the contact area and the interfacial separation from small contact (low load) to full…

Soft Condensed Matter · Physics 2011-11-10 C. Yang , B. N. J. Persson

A continuum model of crystalline solid equilibrium is presented in which the underlying periodic lattice structure is taken explicitly into account. This model also allows for both point and line defects in the bulk of the lattice and at…

Materials Science · Physics 2009-10-31 Paolo Cermelli , Shaun Sellers

The nonconservative elastic responses of active solids have driven a recent explosion of interest in two-dimensional "odd" elasticity: small, linear deformations of these Cauchy elastic solids enable new behaviour absent from classical,…

Soft Condensed Matter · Physics 2026-05-05 Shiheng Zhao , Pierre A. Haas

We consider an adhesive contact between a thin soft layer on a rigid substrate and a rigid cylindrical indenter ("line contact") with account of the surface tension of the layer. First, it is shown that the boundary condition for the…

Soft Condensed Matter · Physics 2020-02-06 Valentin L. Popov

We discuss the stick-slip motion of an elastic block sliding along a rigid substrate. We argue that for a given external shear stress this system shows a discontinuous nonequilibrium transition from a uniform stick state to uniform sliding…

Soft Condensed Matter · Physics 2009-11-10 Efim A. Brener , S. V. Malinin , V. I. Marchenko

The dynamics of defect excitations in crystalline solids is necessary to understand the macroscopic low-energy properties of elastic media. We use fracton-elasticity duality to systematically study the defect dynamics and interactions in…

Materials Science · Physics 2024-05-07 Lazaros Tsaloukidis , Piotr Surówka

The moving-contact line between a fluid, liquid and a solid is a ubiquitous phenomenon, and determining the maximum speed at which a liquid can wet/dewet a solid is a practically important problem. Using continuum models, previous studies…

Fluid Dynamics · Physics 2022-08-17 J. S. Keeler , D. A. Lockerby , S. Kumar , J. E. Sprittles

The rupture of the interface joining two materials under frictional contact controls their macroscopic sliding. Interface rupture dynamics depend markedly on the mechanical properties of the bulk materials that bound the frictional…

Materials Science · Physics 2021-02-24 H. Shlomai , D. S. Kammer , M. Adda-Bedia , R. Arias , J. Fineberg

Soft elastomers that can exhibit extremely large deformations under the action of an electric field are essential for applications such as soft robotics, stretchable and flexible electronics, energy harvesting among others. The critical…

Soft Condensed Matter · Physics 2020-12-29 Lingling Chen , Yu Yang , Binglei Wang , Shengyou Yang , Kaushik Dayal , Pradeep Sharma

We present a numerical investigation of the size scaling of static friction in incommensurate two dimensional contacts performed for different lateral loading configurations. Results of model simulations show that both the absolute value of…

Mesoscale and Nanoscale Physics · Physics 2018-05-02 Davide Mandelli , Roberto Guerra , Wengen Ouyang , Michael Urbakh , Andrea Vanossi

We study the possibility for a semi-infinite block of linear viscoelastic material, in homogeneous frictional contact with a non-deformable one, to slide under shear via a periodic set of ``self-healing pulses'', i.e. a set of drifting slip…

Materials Science · Physics 2009-10-31 C. Caroli

We consider the problem of a rigid surface moving over a flat plane. The surfaces are separated by a small gap filled by a lubricant fluid. The relative position of the surfaces is unknown except for the initial time $t=0$. The total load…

Analysis of PDEs · Mathematics 2009-02-26 Ionel Sorin Ciuperca , José Ignacio Tello

We furnish necessary and sufficient conditions for the occurrence of a Hopf bifurcation in a particularly significant fluid-structure problem, where a Navier-Stokes liquid interacts with a rigid body that is subject to an undamped elastic…

Analysis of PDEs · Mathematics 2024-06-07 Denis Bonheure , Giovanni P. Galdi , Filippo Gazzola