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We present a contact mechanics problem, which we consider to be representative for contacts between nominally flat surfaces. The main ingredients of the mathematically fully defined contact problem are: Self-affine roughness, linear…

Soft Condensed Matter · Physics 2015-12-09 Martin H. Müser , Wolf B. Dapp

We present single contact friction experiments between a glassy polymer and smooth silica substrates grafted with alkylsilane layers of different coverage densities and morphologies. This allows us to adjust the polymer/substrate…

Soft Condensed Matter · Physics 2007-05-23 Lionel Bureau , Christiane Caroli , Tristan Baumberger

Partition of unity methods (PUM) are of domain decomposition type and provide the opportunity for multiscale and multiphysics numerical modeling. Different physical models can exist within a PUM scheme for handling problems with zones of…

Computational Engineering, Finance, and Science · Computer Science 2023-02-06 Matthias Birner , Patrick Diehl , Robert Lipton , Marc Alexander Schweitzer

I discuss fluid flow at the interface between solids with anisotropic roughness. I show that for randomly rough surfaces with anisotropic roughness, the contact area percolate at the same relative contact area as for isotropic roughness,…

Soft Condensed Matter · Physics 2020-03-05 B. N. J. Persson

Friction in static and sliding contact of rough surfaces is important in numerous physical phenomena. We seek to understand macroscopically observed static and sliding contact behavior as the collective response of a large number of…

Soft Condensed Matter · Physics 2018-11-12 Srivatsan Hulikal , Nadia Lapusta , Kaushik Bhattacharya

Revealing statistics of H-defect interactions provides insights into significant ductility loss due to the particular strain partitioning in H-charged structural alloys. Experimental investigation of these interactions is extremely…

Materials Science · Physics 2025-01-22 Matthew J. Melfi , S. Mohadeseh Taheri-Mousavi

Utilizing colloidal probe, lateral force microscopy and simultaneous confocal microscopy, combined with finite element analysis, we investigate the mechanism of static friction for a microparticle on a soft, adhesive surface. We find that…

Soft Condensed Matter · Physics 2023-04-26 Justin D. Glover , Xingwei Yang , Rong Long , Jonathan T. Pham

The static friction between crystalline surfaces separated by a molecularly thin layer of adsorbed molecules is calculated using molecular dynamics simulations. These molecules naturally lead to a finite static friction that is consistent…

Materials Science · Physics 2009-11-07 Gang He , Mark O. Robbins

Numerically simulating deformations in thin elastic sheets is a challenging problem in computational mechanics due to destabilizing compressive stresses that result in wrinkling. Determining the location, structure, and evolution of…

Materials Science · Physics 2014-11-26 Michael Taylor , Benny Davidovitch , Zhanlong Qiu , Katia Bertoldi

The connection between fundamental interactions acting in molecules in a fluid and macroscopically measured properties, such as the viscosity between colloidal particles coated with polymers, is studied here. The role that hydrodynamic and…

Soft Condensed Matter · Physics 2015-09-02 A. Gama Goicochea , M. A. Balderas Altamirano , R. Lopez-Esparza , M. A. Waldo , E. Perez

In this study, we carried out equilibrium molecular dynamics (EMD) simulations of the liquid-liquid interface between two different Lennard-Jones components with varying miscibility, where we examined the relation between the interfacial…

Soft Condensed Matter · Physics 2025-12-29 Rei Ogawa , Hiroki Kusudo , Takeshi Omori , Edward R. Smith , Laurent Joly , Samy Merabia , Yasutaka Yamaguchi

Many important properties of granular fluids can be represented by a system of hard spheres with inelastic collisions. Traditional methods of nonequilibrium statistical mechanics are effective for analysis and description of the inelastic…

Soft Condensed Matter · Physics 2009-11-07 James W. Dufty , J. Javier Brey , James Lutsko

A novel multi-scale finite element formulation for contact mechanics between nominally smooth but microscopically rough surfaces is herein proposed. The approach integrates the interface finite element method (FEM) for modelling interface…

Computational Engineering, Finance, and Science · Computer Science 2025-04-03 Jacopo Bonari , Maria R. Marulli , Nora Hagmeyer , Matthias Mayr , Alexander Popp , Marco Paggi

The theory of internal waves between two layers of immiscible fluids is important both for its applications in oceanography and engineering, and as a source of interesting mathematical model equations that exhibit nonlinearity and…

Classical Physics · Physics 2007-09-14 Hai Yen Nguyen , Frédéric Dias

We explore the effect of steric interaction on the ionic density distribution near a charged hard wall. For weakly charged walls, small particles, and monovalent ions the mean-field Poisson-Boltzmann equation provides an excellent…

Soft Condensed Matter · Physics 2015-06-05 Derek Frydel , Yan Levin

When two surfaces are brought into contact and slide against each other, junctions are formed at the interface. The dynamics of formation, rupture and evolution of these junctions governs the tribological response of the macro-contact.…

Soft Condensed Matter · Physics 2022-05-26 Vipul Vijigiri , Cedric Courbon , Guillaume Kermouche , Juliette Cayer-Barrioz

The load-area relation of rough surfaces is of great interest in tribology. For elastic-plastic solids with strain hardening, an incremental model is adopted to analyze the contact of rough surfaces, in which the contact is modeled by…

Soft Condensed Matter · Physics 2022-12-28 Yue Ding , Xuan-Ming Liang , Gang-Feng Wang

A formalism is presented for analytically obtaining the probability density function, (P_{n}(s)), for the random distance (s) between two random points in an (n)-dimensional spherical object of radius (R). Our formalism allows (P_{n}(s)) to…

Mathematical Physics · Physics 2009-11-07 Shu-Ju Tu , Ephraim Fischbach

We discuss a class of models for particulate gels in which the particle contacts are described by an effective interaction combining a two-body attraction and a three-body angular repulsion. Using molecular dynamics, we show how varying the…

Soft Condensed Matter · Physics 2021-08-05 Minaspi Bantawa , Wayan A. Fontaine-Seiler , Peter D. Olmsted , Emanuela Del Gado

Our understanding of the structural features of foams and emulsions has advanced significantly over the last 20 years. However, with a search for "super-stable" liquid dispersions, foam and emulsion science employs increasingly complex…

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