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Surface tension is a prominent factor for the deformation of solids at micro-/nano-scale. This paper investigates the effects of surface tension on the two-dimensional contact problems of an elastic layer bonded to the rigid substrate.…

Soft Condensed Matter · Physics 2018-10-29 Weike Yuan , Gangfeng Wang

We study a model of two layers, each consisting of a d-dimensional elastic object driven over a random substrate, and mutually interacting through a viscous coupling. For this model, the mean-field theory (i.e. a fully connected model)…

Disordered Systems and Neural Networks · Physics 2009-01-07 Pierre Le Doussal , M. Cristina Marchetti , Kay Joerg Wiese

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

Adhesive cell-substrate interactions are crucial for cell motility and are responsible for the necessary traction that propels cells. These interactions can also change the shape of the cell, analogous to liquid droplet wetting on adhesive…

The influence of surface constraints on the self-assembly of liquid droplets is investigated. A semi-quantitative explanation for large scale pattern formation consisting of small scale closely arranged droplets inside the large scale…

Soft Condensed Matter · Physics 2019-06-28 K Nilavarasi , S G Ramkumar , V Madhurima

The dependence of mechanical properties on microscopic interactions remains a central problem in the physics of disordered solids near the jamming transition. We numerically and theoretically investigate the mechanical response of jammed…

Soft Condensed Matter · Physics 2026-04-07 Michio Otsuki , Kiwamu Yoshii , Hideyuki Mizuno

High-frequency micrometrical vibrations have been shown to greatly influence the adhesive performance of soft interfaces, however a detailed comparison between theoretical predictions and experimental results is still missing. Here, the…

Soft Condensed Matter · Physics 2024-12-16 Michele Tricarico , Michele Ciavarella , Antonio Papangelo

The electron inertia term and the off-diagonal electron pressure terms are well-known for the frozen-in condition breakdown in collisionless magnetic reconnection, which are naturally kinetic and difficult to be employed in…

Plasma Physics · Physics 2025-06-12 H. W. Zhang , Z. W. Ma , T. Chen

Wrinkling is the phenomenon of out-of-plane deformation patterns in thin walled structures, as a result of a local compressive (internal) loads in combination with a large membrane stiffness and a small but non-zero bending stiffness.…

Numerical Analysis · Mathematics 2025-03-20 H. M. Verhelst , M. Möller , J. H. Den Besten

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

Static contact angle hysteresis (CAH) is widely attributed to surface roughness and chemical contamination. In the latter case, chemical defects create free-energy barriers that prevent the contact line motion. Electrowetting studies have…

Fluid Dynamics · Physics 2020-10-06 Wei Wang , Qi Wang , Jia Zhou , Antoine Riaud

Lubricated contacts in soft materials are important in various engineering systems and natural settings. Three major lubrication regimes are boundary (BL), mixed (ML), and elasto-hydrodynamic (EHL) lubrication, where the contact region is…

Soft Condensed Matter · Physics 2024-12-17 Hao Dong , Reshma Siddiquie , Xuemei Xiao , Michael Andrews , Brian Bergman , Chung-Yuen Hui , Anand Jagota

We study experimentally and discuss quantitatively the contact angle hysteresis on striped superhydrophobic surfaces as a function of a solid fraction, $\phi_S$. It is shown that the receding regime is determined by a longitudinal sliding…

Soft Condensed Matter · Physics 2014-10-21 Alexander L. Dubov , Ahmed Mourran , Martin Möller , Olga I. Vinogradova

Inertial effects in nonlinear magnetic reconnection are studied within the context of 2D electron magnetohydrodynamics (EMHD) with resistive and viscous dissipation. Families of nonlinear solutions for relevant current sheet parameters are…

Plasma Physics · Physics 2015-05-13 A. Zocco , L. Chacon , Andrei N. Simakov

Discrete dislocation plasticity (DDP) calculations are carried out to investigate the response of a single crystal contacted by a rigid sinusoidal asperity under sliding loading conditions to look for causes of microstructure change in the…

Materials Science · Physics 2022-07-20 Yilun Xu , Daniel S. Balint , Christian Greiner , Daniele Dini

Surface stresses have recently emerged as a key player in the mechanics of highly compliant solids. The classic theories of contact mechanics describe adhesion with a compliant substrate as a competition between surface energies driving…

Soft Condensed Matter · Physics 2017-11-15 Katharine E. Jensen , Robert W. Style , Qin Xu , Eric R. Dufresne

We study the contact angle hysteresis and morphology changes of a liquid drop sitting on a solid substrate inclined with respect to the horizontal at an angle $\alpha$. This one is always smaller than the critical one, $\alpha_{crit}$,…

Fluid Dynamics · Physics 2019-04-24 Pablo D. Ravazzoli , Ingrith Cuellar , Alejandro G. González , Javier A. Diez

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

A new mathematical model of hysteresis loop has been derived. Model consists in an extansion of tanh($\cdot$) by extanding the base of exp function into an arbitrary positive number. The presented model is self-similar and invariant with…

Materials Science · Physics 2023-07-19 Krzysztof Z. Sokalski

Contact angle hysteresis of a macroscopic droplet on a heterogeneous but flat substrate is studied using the interface displacement model. First, the apparent contact angle of a droplet on a heterogeneous surface under the condition of…

Soft Condensed Matter · Physics 2007-05-23 Masao Iwamatsu
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