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Related papers: JKR solution for an anisotropic half space

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We report on an experimental investigation of the interplay between friction, contact geometry and finite strains for smooth frictional contacts between rigid spherical glass probes and flat silicone substrates. Using both bulk and layered…

Soft Condensed Matter · Physics 2025-09-26 Marco Ceglie , Cosimo Mandriota , Giuseppe Carbone , Nicola Menga , Antoine Chateauminois

We present theoretical arguments, based on linear elasticity and thermodynamics, to show that interfacial tangential stresses in sliding adhesive contacts does not affet at all the adhesive behavior of the system, which then follows the…

Materials Science · Physics 2020-12-18 Nicola Menga , Giuseppe Carbone , Daniele Dini

The detachment of material in an adhesive wear process is driven by a fracture mechanism which is controlled by a critical length-scale. Previous efforts in multi-asperity wear modeling have applied this microscopic process to rough elastic…

Soft Condensed Matter · Physics 2020-09-16 Lucas Frérot , Guillaume Anciaux , Jean-François Molinari

The aim of this work is to formulate two new solutions by decoupling the field equations via a minimal geometric deformation in the context of self-interacting Brans-Dicke gravity. We introduce an extra source in the anisotropic fluid…

General Relativity and Quantum Cosmology · Physics 2022-01-14 M. Sharif , Amal Majid

Mixed methods for linear elasticity with strongly symmetric stresses of lowest order are studied in this paper. On each simplex, the stress space has piecewise linear components with respect to its Alfeld split (which connects the vertices…

Numerical Analysis · Mathematics 2025-07-18 Jay Gopalakrishnan , Johnny Guzman , Jeonghun J. Lee

We study the drag force acting on a heavy quark in a holographic plasma with rotational anisotropy and finite density. The bulk dual is the CCLP black hole of five-dimensional minimal gauged supergravity, characterised by two independent…

High Energy Physics - Theory · Physics 2026-04-30 Sergei G. Ovchinnikov

Solid contacts involving soft materials are important in mechanical engineering or biomechanics. Experimentally, such contacts have been shown to shrink significantly under shear, an effect which is usually explained using adhesion models.…

Soft Condensed Matter · Physics 2020-07-07 J. Lengiewicz , M. de Souza , M. Lahmar , C. Courbon , D. Dalmas , S. Stupkiewicz , J. Scheibert

A Hamilton-Jacobi theory for general dynamical systems, defined on fibered phase spaces, has been recently developed. In this paper we shall apply such a theory to contact Hamiltonian systems, as those appearing in thermodynamics and on…

Differential Geometry · Mathematics 2020-02-19 S. Grillo , E. Padrón

This paper studies the effect of anisotropy on sharp or diffuse interfaces models. When the surface tension is a convex function of the normal to the interface, the anisotropy is said to be weak. This usually ensures the lower…

Analysis of PDEs · Mathematics 2025-10-16 Jean-François Babadjian , Blanche Buet , Michael Goldman

This paper presents a hybrid numerical method to solve efficiently a class of highly anisotropic elliptic problems. The anisotropy is aligned with one coordinate-axis and its strength is described by a parameter $\eps \in (0,1]$, which can…

Numerical Analysis · Mathematics 2015-11-04 Anais Crestetto , Fabrice Deluzet , Claudia Negulescu

Dense packings composed of irregular polyhedral particles are investigated by numerical simulations under quasistatic triaxial compression. The Contact Dynamics method is used for this investigation with 40 000 particles. The effect of…

Classical Physics · Physics 2015-05-13 Émilien Azema , Farhang Radjaï , Gilles Saussine

Ivanov pointed out substantial analytical difficulties associated with self-gravitating, static, isotropic fluid spheres when pressure explicitly depends on matter density. Simplification achieved with the introduction of electric charge…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Victor Varela , Farook Rahaman , Saibal Ray , Koushik Chakraborty , Mehedi Kalam

We study the response of granular materials to external stress using experiment, simulation, and theory. We derive an entropic, Ginzburg-Landau functional that enforces mechanical stability and positivity of contact forces. In this…

Correlation functions of components of second-order tensor fields in isotropic systems can be reduced to an isotropic forth-order tensor field characterized by a few invariant correlation functions (ICFs). It is emphasized that components…

Statistical Mechanics · Physics 2023-08-17 J. P. Wittmer , A. N. Semenov , J. Baschnagel

In this work we study the influence of isotropic and anisotropic fluids on the spherically symmetric warp metric. We evaluate the energy conditions and the influence of including a cosmological constant type term. We find that, considering…

General Relativity and Quantum Cosmology · Physics 2023-05-09 Gabriel Abellán , Nelson Bolívar , Ivaylo Vasilev

The force of adhesion of a rotationally symmetric indenter and an elastic half-space is analyzed analytically and numerically using an extension of the method of dimensionality reduction (MDR) for superimposed normal/tangential adhesive…

Soft Condensed Matter · Physics 2017-08-29 Valentin L. Popov , Iakov A. Lyashenko , Alexander E. Filippov

Recently, there has been some debate over the effect of adhesion on the contact of rough surfaces. Classical asperity theories predict, in agreement with experimental observations, that adhesion is always destroyed by roughness except if…

Materials Science · Physics 2015-05-04 M. Ciavarella

We revisit the classic problem of an elastic solid with a two-dimensional wavy surface squeezed against an elastic flat half-space from infinitesimal to full contact. Through extensive numerical calculations and analytic derivations, we…

Classical Physics · Physics 2014-09-23 Vladislav A. Yastrebov , Guillaume Anciaux Jean-Francois Molinari

A stationary axially symmetric solution describing a rotating anisotropic source for Einstein Field Equations(EFE) is proposed which matches to the exterior Kerr metric. The anisotropic source satisfies all energy conditions - weak, strong,…

General Relativity and Quantum Cosmology · Physics 2017-07-04 F. Z. Majidi

When quickly detaching an elastomer from a counterface, viscoelasticity dramatically increases the perceived adhesion relative to its adiabatic or equilibrium value. Here, we report simulations on the sticking contact between a rigid…

Soft Condensed Matter · Physics 2022-05-04 Martin H. Müser , Bo N. J. Persson
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