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We study numerically local models for the mechanical contact between two solids with rough surfaces. When the solids softly touch either through adhesion or by a small normal load $L$, contact only forms at isolated patches and fluids can…

Soft Condensed Matter · Physics 2015-06-23 Wolf B. Dapp , Martin H. Müser

Using contact geometry we give a new characterization of a simple but important class of thermodynamical systems which naturally satisfy the first law of thermodynamics (total energy preservation) and the second law (increase of entropy).…

We present an efficient, accurate, and robust method for simulation of dense suspensions of deformable and rigid particles immersed in Stokesian fluid in two dimensions. We use a well-established boundary integral formulation for the…

Numerical Analysis · Mathematics 2017-08-23 Libin Lu , Abtin Rahimian , Denis Zorin

The computational modeling of many engineering problems using the Finite Element method involves the modeling of two or more bodies that meet through an interface. The interface can be physical, as in multi-physics and contact problems, or…

Numerical Analysis · Computer Science 2009-09-30 G. Haikal

This thesis deals with shape optimization for contact mechanics. More specifically, the linear elasticity model is considered under the small deformations hypothesis, and the elastic body is assumed to be in contact (sliding or with Tresca…

Optimization and Control · Mathematics 2022-08-30 Bastien Chaudet-Dumas

Tribological phenomena are governed by combined effects of material properties, topology and surface-chemistry. We study the interplay of multiscale surface structures with molecular-scale interactions towards interpreting static frictional…

Soft Condensed Matter · Physics 2021-06-04 Dorian Hanaor , Yixiang Gan , Itai Einav

We propose a model for unilateral contact with adhesion between a viscoelastic body and a rigid support, encompassing thermal and frictional effects. Following the approach by M. Fremond, adhesion is described in terms of a surface damage…

Analysis of PDEs · Mathematics 2012-07-23 Elena Bonetti , Giovanna Bonfanti , Riccarda Rossi

We propose a frictionless contact formulation for isogeometric analysis, which combines a collocated formulation for the contact surfaces with a standard Galerkin treatment of the bulk. We denote it as isogeometric Collocated Contact…

Computational Engineering, Finance, and Science · Computer Science 2022-04-04 Frederik Fahrendorf , Laura De Lorenzis

The problem of a general, symmetric contact, between elastically similar bodies, and capable of idealisation using half-plane theory, is studied in the presence of interfacial friction. It is subject to a constant set of loads - normal…

Soft Condensed Matter · Physics 2019-04-01 Hendrik Andresen , David A. Hills , James R. Barber , Jesus Vazquez

How friction affects adhesion is addressed. The problem is considered in the context of a very stiff sphere adhering to a compliant, isotropic, linear elastic substrate, and experiencing adhesion and frictional slip relative to each other.…

Soft Condensed Matter · Physics 2020-02-19 R. M. McMeeking , M. Ciavarella , G. Cricrì , K. -S. Kim

We present a molecular dynamics study of the contact between a rigid solid with a randomly rough surface and an elastic block with a flat surface. The numerical calculations mainly focus on the contact area and the interfacial separation…

Soft Condensed Matter · Physics 2008-05-08 C. Yang , B. N. J. Persson

We consider a frictional contact model, mathematically described by means of a nonlinear boundary value problem in terms of PDE. We draw the attention to three possible variational formulations of it. One of the variational formulations is…

Analysis of PDEs · Mathematics 2019-12-10 Andaluzia Matei

We study a homogeneously driven granular gas of inelastic hard particles with rough surfaces subject to Coulomb friction. The stationary state as well as the full dynamic evolution of the translational and rotational granular temperatures…

Soft Condensed Matter · Physics 2015-06-24 Olaf Herbst , Raffaele Cafiero , Annette Zippelius , Hans Jürgen Herrmann , Stefan Luding

We consider a poromechanics model including frictionless contact mechanics. The resulting model consists of the Biot equations with contact boundary conditions leading to a variational inequality modelling mechanical deformations coupled to…

Numerical Analysis · Mathematics 2024-07-19 Tameem Almani , Kundan Kumar

We present exact numerical results for the friction force and the contact area for a viscoelastic solid (rubber) in sliding contact with hard, randomly rough substrates. The rough surfaces are self-affine fractal with roughness over several…

Soft Condensed Matter · Physics 2014-06-30 Michele Scaraggi , Bo N. J. Persson

We consider the classical Prandtl-Tomlinson model of a particle moving on a corrugated potential, pulled by a spring. In the usual situation in which pulling acts at constant velocity $\dot\gamma$, the model displays an average friction…

Statistical Mechanics · Physics 2018-01-17 E. A. Jagla

A new computer haptics algorithm to be used in general interactive manipulations of deformable virtual objects is presented. In multimodal interactive simulations, haptic feedback computation often comes from contact forces. Subsequently,…

Graphics · Computer Science 2008-12-18 Christian Duriez , Frédéric Dubois , Abderrahmane Kheddar , Claude Andriot

A general model covering a large variety of the so-called adhesive or cohesive, possibly also frictional, contact interfaces between visco-elastic bodies with inertia considered in a thermodynamical context is presented. A semi-implicit…

Analysis of PDEs · Mathematics 2019-06-11 Tomáš Roubíček

Friction is the force resisting relative motion of objects. The force depends on material properties, loading conditions and external factors such as temperature and humidity, but also contact aging has been identified as a primary factor.…

Computational Physics · Physics 2023-07-26 Even Marius Nordhagen , Henrik Andersen Sveinsson , Anders Malthe-Sørenssen

The paper uses the spring potential to present interaction between the coarse-grained interfacial particles of the $\alpha$-Al2O3/$\alpha$-Al2O3 and $\alpha$-Fe2O3/$\alpha$-Fe2O3 contacts in the sliding friction study of these micron-scale…

Soft Condensed Matter · Physics 2023-08-08 Le Van Sang , Akihiko Yano , Ai Isohashi , Natsuko Sugimura , Hitoshi Washizu
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