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In this article we find explicit formulae for spherically symmetric solutions of the multidimensional zero-pressure gas dynamics system and its adhesion approximation. The asymptotic behaviour of the explicit solutions of the adhesion…

Analysis of PDEs · Mathematics 2014-04-29 Anupam Pal Choudhury , K. T. Joseph , Manas R. Sahoo

Modeling contact between deformable solids is a fundamental problem in computer animation, mechanical design, and robotics. Existing methods based on $C^0$-discretizations -- piece-wise linear or polynomial surfaces -- suffer from…

Graphics · Computer Science 2023-08-04 Yinwei Du , Yue Li , Stelian Coros , Bernhard Thomaszewski

We generalize the concept of locally symmetric spaces to parabolic contact structures. We show that symmetric normal parabolic contact structures are torsion--free and some types of them have to be locally flat. We prove that each symmetry…

Differential Geometry · Mathematics 2010-07-27 Lenka Zalabov\' a

We simulate the collision of atomic clusters with a weakly attractive surface using molecular dynamics in a regime between soft-landing and fragmentation, where the cluster undergoes large deformation but remains intact. As a function of…

Materials Science · Physics 2007-05-23 A. Awasthi , S. C. Hendy , P. Zoontjens , S. A. Brown

This review provides an introduction to the essential physics of soft adhesion, including the thermodynamics of adhesion and wetting, the mechanics of contact with deformable materials, and the material properties that most affect…

Soft Condensed Matter · Physics 2026-03-23 Katharine E. Jensen , Chelsea S. Davis

The understanding of friction at nano-scales, ruled by the regular arrangement of atoms, is surprisingly incomplete. Here we provide a unified understanding by studying the interlocking potential energy of two infinite contacting surfaces…

Soft Condensed Matter · Physics 2022-12-14 Emanuele Panizon , Andrea Silva , Xin Cao , Jin Wang , Clemens Bechinger , Andrea Vanossi , Erio Tosatti , Nicola Manini

For the contact of two finite portions of interacting rigid crystalline surfaces, we compute the dependence of the pinning energy barrier on the misfit angle and contact area. The resulting data are used to investigate the distribution of…

Statistical Mechanics · Physics 2011-07-19 Nicola Manini , O. M. Braun

We study the fluid-mediated approach of a deformable axisymmetric object towards a rigid substrate, focusing on how its shape influences contact formation. For low approach velocities and large Stokes numbers, we show that sharper profiles…

Soft Condensed Matter · Physics 2025-10-21 Joaquin Garcia-Suarez

The present contribution focuses on the effect of adherend surface roughness on the strength of adhesive joints, which are particularly cost-effective and extensively applied in a wide range of industrial applications. However, the…

Kinetic frictional forces resisting droplet motion often appear to be separate to surface wettability and adhesive forces. Here we show that such friction arises from a simple combination of the contact angle hysteresis and adhesive force.…

We study properties of stable, strictly stable and locally outermost marginally outer trapped surfaces in spacelike hypersurfaces of spacetimes possessing certain symmetries such as isometries, homotheties and conformal Killings. We first…

General Relativity and Quantum Cosmology · Physics 2009-08-12 Alberto Carrasco , Marc Mars

The error incurred in the representation of the contact pressure at the edges of incomplete contacts by first order asymptotes is treated, and the maximum value of the relative error found for a range of geometries, both symmetric and…

Classical Physics · Physics 2022-03-15 Matthew R. Moore , David A. Hills

Insects, pick-and-place manufacturing, engineered adhesives, and soft robots employ soft materials to stick to surfaces even in the presence of roughness. Experiments show that the force required for making contact is lower than for…

Soft Condensed Matter · Physics 2023-07-27 Antoine Sanner , Nityanshu Kumar , Ali Dhinojwala , Tevis D. B. Jacobs , Lars Pastewka

This paper investigates the transition from abrasive to adhesive wear in gross-slip fretting assuming contact oxygenation concept which suggests that adhesion appears in the inner part of the interface if the di-oxygen partial pressure is…

Materials Science · Physics 2021-01-29 Soha Baydoun , Siegfried Fouvry

In Part I of this two part series, we presented a multi-neighbor dependent contact model for adhesive elastic-plastic particles built upon the method of dimensionality reduction that is valid for the elastic and fully-plastic contact…

Soft Condensed Matter · Physics 2023-09-15 William Zunker , Ken Kamrin

Johnson-Kendall-Robert (JKR) theory is the basis of modern contact mechanics. It describes how two deformable objects adhere together, driven by adhesion energy and opposed by elasticity. However, it does not include solid surface tension,…

Soft Condensed Matter · Physics 2015-06-16 Robert W. Style , Callen Hyland , Rostislav Boltyanskiy , John S. Wettlaufer , Eric R. Dufresne

Particles bound to an interface interact because they deform its shape. The stresses that result are fully encoded in the geometry and described by a divergence-free surface stress tensor. This stress tensor can be used to express the force…

Soft Condensed Matter · Physics 2007-05-23 Martin Michael Mueller , Markus Deserno , Jemal Guven

Wet granular materials in a quasi-static steady state shear flow have been studied with discrete particle simulations. Macroscopic quantities, consistent with the conservation laws of continuum theory, are obtained by time averaging and…

Soft Condensed Matter · Physics 2015-06-23 Sudeshna Roy , Abhinendra Singh , Stefan Luding , Thomas Weinhart

As a fundamental force, friction exerts a profound influence on various aspects of our daily lives across multiple disciplines. To understand why adhesive friction is associated with the contact area, here we investigate the generic sliding…

Soft Condensed Matter · Physics 2025-10-29 Puyu Cao , Meicheng Yao , Bin Chen

A piecewise-homogeneous elastic orthotropic plate, reinforced with a finite patch of the wedgeshaped, which meets the interface at a right angle and is loaded with tangential and normal forces is considered. By using methods of the theory…

Mathematical Physics · Physics 2024-05-29 Nugzar Shavlakadze , Nana Odishelidze , Francisco Criado-Aldeanueva
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