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Related papers: A JKR solution for a ball-in-socket contact geomet…

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The prevailing models for advancing dynamic contact angle are under intensive debates, and the fitting performances are far from satisfying in practice. The present study proposes a model based on the recent understanding of the multi-scale…

Soft Condensed Matter · Physics 2019-02-05 Hao Wang , Lei Chen

The classical Hertzian contact model establishes a monotonic correlation between contact force and area. Here, we showed that the interplay between local friction and structural instability can deliberately lead to unconventional contact…

Computational Engineering, Finance, and Science · Computer Science 2024-01-29 Riad Sahli , Jeppe Mikkelsen , Mathias Satherstrom Boye , Marcelo A. Dias , Ramin Aghababaei

The dip-coating geometry, where a solid plate is withdrawn from or plunged into a liquid pool, offers a prototypical example of wetting flows involving contact-line motion. Such flows are commonly studied using the lubrication approximation…

Soft Condensed Matter · Physics 2024-11-20 Minkush Kansal , Charu Datt , Vincent Bertin , Jacco H. Snoeijer

Inspired by the turf-ball interaction in golf, this paper seeks to understand the bounce of a ball that can be modelled as a rigid sphere and the surface as supplying an elasto-plastic contact force in addition to Coulomb friction. A…

Dynamical Systems · Mathematics 2022-08-25 Stanisław W. Biber , Alan R. Champneys , Robert Szalai

We prove that deterministic motion in dissipative systems emerges as a strict geometric attractor of contact flow, not a statistical approximation. Building on the contact geometry of stochastic vector bundles, we develop time-dependent…

Mathematical Physics · Physics 2026-05-13 D. Y. Zhong

We demonstrate that a highly frustrated anisotropic Josephson junction array(JJA) on a square lattice exhibits a zero-temperature jamming transition, which shares much in common with those in granular systems. Anisotropy of the Josephson…

Statistical Mechanics · Physics 2009-11-13 Hajime Yoshino , Tomoaki Nogawa , Bongsoo Kim

We present our recent study on rough adhesive contacts of viscoelastic materials in steady-state sliding, focusing on the interplay between adhesion and viscoelasticity by means of a novel energy approach. We investigate tribological…

Soft Condensed Matter · Physics 2024-11-13 Cosimo Mandriota , Nicola Menga , Giuseppe Carbone

We develop a kinetic-theory framework to investigate the steady rheology of a dilute gas interacting via a repulsive potential under uniform shear flow. Starting from the Boltzmann equation with a restitution coefficient that depends on the…

Soft Condensed Matter · Physics 2026-04-23 Yuria Kobayashi , Makoto R. Kikuchi , Shunsuke Iizuka , Satoshi Takada

We investigate the structure and mechanical behavior of assemblies of frictionless, nearly rigid equal-sized beads, in the quasistatic limit, by numerical simulation. Three different loading paths are explored: triaxial compression,…

Materials Science · Physics 2008-10-24 Pierre-Emmanuel Peyneau , Jean-Noël Roux

Application of the principle of energy balance to a rigid indenter in contact with elastic layer on a flat rigid substrate provides a very simple derivation of the detachment criterion which earlier has been obtained by much more…

Soft Condensed Matter · Physics 2018-05-23 Valentin L. Popov

We present a new approach for the mechanically consistent modelling and simulation of fluid-structure interactions with contact. The fundamental idea consists of combining a relaxed contact formulation with the modelling of seepage through…

Numerical Analysis · Mathematics 2022-03-02 Erik Burman , Miguel A. Fernández , Stefan Frei , Fannie M. Gerosa

Using the Jacobian matrix, we obtain theoretical expression of rigidity and the density of states of two-dimensional amorphous solids consisting of frictional grains in the linear response to an infinitesimal strain, in which we ignore the…

Soft Condensed Matter · Physics 2023-05-16 Daisuke Ishima , Kuniyasu Saitoh , Michio Otsuki , Hisao Hayakawa

The notions of a twistor space of a contact manifold and a contact connection on such a manifold have been introduced by L. Vezzoni as extensions of the corresponding notions in the case of a symplectic manifold. Given a contact connection…

Differential Geometry · Mathematics 2016-05-31 Johann Davidov , Christian L. Yankov

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

Dense suspensions exhibit significant viscosity changes under external deformation, a phenomenon known as shear thickening. Recent studies have identified a stress-induced transition from lubricated, unconstrained interactions to frictional…

Soft Condensed Matter · Physics 2025-01-07 Alessandro D'Amico , Sidong Tu , Abhinendra Singh

This paper begins the study of relations between Riemannian geometry and global properties of contact structures on 3-manifolds. In particular we prove an analog of the sphere theorem from Riemannian geometry in the setting of contact…

Symplectic Geometry · Mathematics 2015-09-14 John B. Etnyre , Rafal Komendarczyk , Patrick Massot

We prove a threshold-sharp stability theory for the conformal scalar-curvature sector on zero-curvature Carter backgrounds. The main result is a fully closed bounded-slab theorem: the reflecting evolution is constructed, the conserved…

Analysis of PDEs · Mathematics 2026-05-19 Bobby Eka Gunara

Bringing a rigid object into contact with a soft elastic tube causes the tube to conform to the surface of the object, resulting in contact lines. The curvature of the tube walls near these contact lines is often large and is typically…

Soft Condensed Matter · Physics 2019-10-23 Bhargav Rallabandi , Joel Marthelot , P. -T. Brun , Jens Eggers

We investigate the implications of the general frame approach for conformal Bjorken flow beyond the earlier studies. We show that the power series solution at late times is not unique and is accompanied by an exact solution of the form…

High Energy Physics - Theory · Physics 2020-09-02 M. Shokri , F. Taghinavaz

In theory and practice of elastic straight rods, the statically indeterminate reactions acted by perfect constraints are commonly believed not to depend on the flexural stiffness $EJ$. We solve exactly two elastica problems in order to…

Classical Analysis and ODEs · Mathematics 2015-05-12 Giovanni Mingari Scarpello , Daniele Ritelli
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