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An improved linear model is developed for elasto-plastic and adhesive contact. New correlations are proposed and validated to estimate the key input parameters of the model, including contact stiffness, yield point, maximum pull-off force…

Fluid Dynamics · Physics 2022-07-19 Wenguang Nan , Wei Pin Goh , Mohammad Tarequr Rahman

Though extensively studied, hardness, defined as the resistance of a material to deformation, still remains a challenging issue for a formal theoretical description due to its inherent mechanical complexity. The widely applied Teter's…

Materials Science · Physics 2011-06-15 Xing-Qiu Chen , Haiyang Niu , Dianzhong Li , Yiyi Li

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

Persson's theory of purely normal rough surface contact was developed two decades ago during the study of tire-road interaction, and gradually became one of the dominant approaches to study the solid-solid interaction between rough…

Statistical Mechanics · Physics 2025-12-05 Yang Xu , Xiaobao Li , Qi Chen , Yunong Zhou

We study the time dependency of the (average) interfacial separation between an elastic solid with a flat surface and a rigid solid with a randomly rough surface, squeezed together in a fluid. We use an analytical theory describing the…

Soft Condensed Matter · Physics 2015-05-27 B. Lorenz , B. N. J. Persson

We study experimentally and theoretically the equilibrium adhesive contact between a smooth glass lens and a rough rubber surface textured with spherical microasperities with controlled height and spatial distributions. Measurements of the…

Soft Condensed Matter · Physics 2019-03-26 Vito Acito , Michele Ciavarella , Alexis M Prevost , Antoine Chateauminois

Soft adhesive pads are needed for many robotics applications, and one approach is based on electroadhesion. Here we present a general analytic model and numerical results for electroadhesion for soft solids with arbitrary time-dependent…

Soft Condensed Matter · Physics 2019-08-06 Bo N. J. Persson , Jianglong Guo

The adhesion paradox refers to the observation that for most solid objects no adhesion can be detected when they are separated from a state of molecular contact. The adhesion paradox results from surface roughness, and we present…

Soft Condensed Matter · Physics 2020-11-04 A. Tiwari , J. Wang , B. N. J. Persson

Rubber friction is of major practical importance in applications such as tires, rubber seals, and footwear. This review article focuses on the theory and experimental studies of rubber friction on substrates with random roughness. We…

Soft Condensed Matter · Physics 2025-09-12 B. N. J. Persson , R. Xu

Spatial heterogeneity in the elastic properties of soft random solids is investigated via a two-pronged approach. First, a nonlocal phenomenological model for the elastic free energy is examined. This features a quenched random kernel,…

Disordered Systems and Neural Networks · Physics 2011-12-06 Xiaoming Mao , Paul M. Goldbart , Xiangjun Xing , Annette Zippelius

Perturbation theory, simulations and scaling arguments predict that there should be no static friction for two weakly interacting flat atomically smooth clean solid surfaces. The absence of static friction results from the fact that the…

Materials Science · Physics 2007-05-23 J. B. Sokoloff

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…

Dynamical Systems · Mathematics 2014-03-05 Robert Szalai

Contacts between particles in dense, sheared suspensions are believed to underpin much of their rheology. Roughness and adhesion are known to constrain the relative motion of particles, and thus globally affect the shear response, but an…

Accurate prediction of the force required to puncture a soft material is critical in many fields like medical technology, food processing, and manufacturing. However, such a prediction strongly depends on our understanding of the complex…

Soft Condensed Matter · Physics 2023-08-16 Stefano Fregonese , Zhiyuan Tong , Sibo Wang , Mattia Bacca

We study the influence of the surface energy and contamination films on rubber adhesion and sliding friction. We find that there is a transfer of molecules from the rubber to the substrate which reduces the work of adhesion and makes the…

Soft Condensed Matter · Physics 2020-11-13 A. Tiwari , T. Tolpekina , Hans van Benthem , M. K. Gunnewiek , B. N. J. Persson

A huge number of technological and biological systems involves the lubricated contact between rough surfaces of soft solids in relative accelerated motion. Examples include dynamical rubber seals and the human joints. In this study we…

Soft Condensed Matter · Physics 2017-02-09 M. Scaraggi , L. Dorogin , J. Angerhausen , H. Murrenhoff , B. N. J. Persson

We present a general linear response description of membrane adhesion at rough or chemically structured surfaces. Our method accounts for non-local Van der Waals effects and contains the more approximate (and local) Deryagin approach in a…

Soft Condensed Matter · Physics 2012-01-31 Peter Swain , David Andelman

Adsorption to a surface, reversible-binding, and trapping are all prevalent scenarios where particles exhibit "stickiness". Escape and first-passage times are known to be drastically affected, but detailed understanding of this phenomenon…

Statistical Mechanics · Physics 2023-12-06 Yuval Scher , Shlomi Reuveni , Denis S. Grebenkov

A discrete-to-continuum analysis for free-boundary problems related to crystalline films deposited on substrates is performed by $\Gamma$-convergence. The discrete model here introduced is characterized by an energy with two contributions,…

Analysis of PDEs · Mathematics 2019-02-19 Leonard Kreutz , Paolo Piovano

We develop an analytical theory of adhesive interaction of viscoelastic spheres in quasistatic approximation. Deformations and deformation rates are assumed to be small, which allows for the application of the Hertz contact theory, modified…

Materials Science · Physics 2007-05-23 Nikolai V. Brilliantov , Thorsten Poeschel
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