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The intersection of two orthogonal cylinders represents a classical problem in computational geometry with direct applications to engineering design, manufacturing, and numerical simulation. While analytical solutions exist for the fully…

Computational Engineering, Finance, and Science · Computer Science 2025-12-30 Fynn Jerome Aschmoneit , Bastiaan Cockx

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

In this paper we use a deterministic multi-asperity model to investigate the elastic contact of rough spheres. Synthetic rough surfaces with controllable spectra were used to identify individual asperities, their locations and curvatures.…

Applied Physics · Physics 2018-11-06 Vladislav A. Yastrebov

We investigate the effects of roughness and fractality on the normal contact stiffness of rough surfaces. Samples of isotropically roughened aluminium surfaces are considered. The roughness and fractal dimension were altered through…

Using as a starting point conservation of momentum, a multiphase mechanical energy balance equation is derived that accounts for multiple material phases and interfaces present within a moving control volume. This balance is applied to a…

Fluid Dynamics · Physics 2022-12-26 Dalton J. E. Harvie

Using molecular dynamics (MD) we study the dependency of the contact mechanics on the sliding speed when an elastically soft slab (block) is sliding on a rigid substrate with a ${\rm sin} (q_0 x)$ surface height profile. The atoms on the…

Soft Condensed Matter · Physics 2020-08-26 J. Wang , A. Tiwari , I. Sivebaek , B. N. J. Persson

We have employed a numerical procedure to analyze the adhesive contact between a soft elastic layer and a rough rigid substrate. The solution of the problem is obtained by calculating the Green's function which links the pressure…

Computational Physics · Physics 2010-06-04 Giuseppe Carbone , Michele Scaraggi , Ugo Tartaglino

The friction and adhesion between elastic bodies are strongly influenced by the roughness of the surfaces in contact. Here we develop a multiscale molecular dynamics approach to contact mechanics, which can be used also when the surfaces…

Soft Condensed Matter · Physics 2007-05-23 C. Yang , U. Tartaglino , B. N. J. Persson

Understanding contact between rough surfaces undergoing plastic deformation is crucial in many applications. We test Persson's multiscale contact mechanics theory for elastoplastic solids, assuming a constant penetration hardness. Using a…

Soft Condensed Matter · Physics 2026-01-07 Andreas Almqvist , Bo N. J. Persson

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

Hertzian contact of a rigid sphere and a highly deformable soft solid is investigated using integrated photoelasticity. The experiments are performed by pressing a styrene sphere of 15 mm diameter against a 44 x 44 x 47 mm$^3$ cuboid made…

Materials Science · Physics 2022-12-28 Benjamin Mitchell , Yuto Yokoyama , Ali Nassiri , Yoshiyuki Tagawa , Yannis Korkolis , Brad Kinsey

This paper presents a study of acoustic scattering by a cylinder of either infinite or finite length near a flat pressure-release surface. A novel self-consistent method is developed to describe the multiple scattering interactions between…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Zhen Ye , You-Yu Chen

We study the lubricated contact of sliding soft surfaces that are locally patterned but globally cylindrical, held together under an external normal force. The local patterns represent either naturally occurring surface roughness or…

Soft Condensed Matter · Physics 2024-09-04 Arash Kargar-Estahbanati , Bhargav Rallabandi

We study the hydrodynamic interaction between two closely-spaced waving elastic cylinders immersed within a viscous liquid, at the creeping flow regime. The cylinders are actuated by a forced oscillation of the slope at their clamped end…

Fluid Dynamics · Physics 2020-04-28 Roei Elfasi , Yossef Elimelech , Amir D. Gat

I study fluid flow at the interface between elastic solids with randomly rough surfaces. I use the contact mechanics model of Persson to take into account the elastic interaction between the solid walls and the Bruggeman effective medium…

Soft Condensed Matter · Physics 2015-05-18 B. N. J. Persson

Non linear dynamic behaviour of a normally excited preloaded Hertzian contact (including possible contact losses) is investigated using an experimental test rig. It consists on a double sphere plane contact loaded by the weight of a rigid…

Classical Physics · Physics 2016-08-14 Joël Perret-Liaudet , Emmanuel Rigaud

While hard-sphere models form the foundation of theoretical condensed matter physics, real systems often exhibit some degree of softness. We present a theoretical and numerical study of a class of nearly hard-sphere systems, generalized…

Soft Condensed Matter · Physics 2025-07-22 Ulf R. Pedersen

We develop a theory of static friction by modeling the homogeneous surfaces of contact as being composed of a regular array of compressible elastic smooth microscopic inclines. Static friction is thought of as the resistance due to having…

Classical Physics · Physics 2014-07-14 Freeman Chee Siong Thun , Vee-Liem Saw , Kin Sung Chan

Collisions and contacts of elastic materials are numerically and theoretically investigated. Using a two-dimensional spring-mass model with defect particles under the free boundary condition, we reproduce the Hertzian contact theory at…

Statistical Mechanics · Physics 2009-11-11 Hiroto Kuninaka , Hisao Hayakawa

We investigate the interaction between an infinite cylinder and a free fluid-fluid interface governed only by its surface tension. We study the deformation of an initially flat interface when it is deformed by the presence of a cylindrical…

Soft Condensed Matter · Physics 2012-08-15 Christophe Raufaste , Geoffroy Kirstetter , Franck Celestini , Simon Cox