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Related papers: JKR solution for an anisotropic half space

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The nearly cloaking via transformation optics approach for the isotropic elastic wave fields is considered. This work extends the study of the nearly cloaking scheme to the elasticity system with residual stress in \mathbb{R}^{N} for N=2,3,…

Analysis of PDEs · Mathematics 2016-12-01 Yi-Hsuan Lin

A homogeneous elastic solid, bounded by a flat surface in its unstressed configuration, undergoes a finite strain when in frictionless contact against a rigid and rectilinear constraint, ending with a rounded or sharp corner, in a…

Soft Condensed Matter · Physics 2024-05-21 Francesco Dal Corso , Marco Amato , Davide Bigoni

We numerically study a three dimensional system of athermal, overdamped, frictionless spheres, using a simplified model for a non-Brownian suspension. We compute the bulk viscosity under both uniaxial and isotropic compression as a means to…

Soft Condensed Matter · Physics 2022-03-02 Anton Peshkov , S. Teitel

This paper presents general relativistic numerical simulations of uniformly rotating polytropes. Equations are developed using MSQI coordinates, but taking a logarithm of the radial coordinate. The result is relatively simple elliptical…

General Relativity and Quantum Cosmology · Physics 2018-04-25 Philip David Flammer

Strain correlation functions in two-dimensional isotropic elastic bodies are shown both theoretically (using the general structure of isotropic tensor fields) and numerically (using a glass-forming model system) to depend on the coordinates…

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

A rigorous theory for solving tangential contacts between three-dimensional power-law graded elastic solids of arbitrary geometry is presented. For multiple contacts such as those occurring between two nominally flat but rough half-spaces,…

Soft Condensed Matter · Physics 2023-06-26 Markus Heß , Qiang Li

In this paper, we consider isotropic solution and extend it to two different exact well-behaved spherical anisotropic solutions through minimal geometric deformation method in $f(R,T,R_{\rho\eta}T^{\rho\eta})$ gravity. We only deform the…

General Relativity and Quantum Cosmology · Physics 2024-04-03 Tayyab Naseer , M. Sharif

Methods for finding the optimal choices of the applied remote loads -- the applied normal force, moment, shear force and remote bulk stresses -- needed to solve frictional contact problems in partial-slip using half-plane theory are derived…

Classical Physics · Physics 2021-03-30 Hendrik Andresen , David A. Hills , Matthew R. Moore

The interaction of anisotropic point defects in anisotropic media is studied in the framework of anisotropic elasticity with eigendistortion. For this purpose key-equations and their solutions for anisotropic point defects in an anisotropic…

Materials Science · Physics 2017-03-16 Markus Lazar

We study the real part of the static potential of a heavy quark-antiquark system in an anisotropic plasma medium. We use a quasi-particle approach where the collective dynamics of the plasma constituents is described using hard-loop…

High Energy Physics - Phenomenology · Physics 2024-05-10 Margaret E. Carrington , Gabor Kunstatter , Arghya Mukherjee

This study investigates the elastic response of a two-dimensional semi-infinite medium subjected to a moving surface load with a prescribed displacement profile. As a fundamental step, we derive analytical Green's functions for the…

Classical Physics · Physics 2026-04-23 Satoshi Takada , Yosuke Mori , Shintaro Hokada

A new solution for a general half-plane contact in the steady state is presented. The contacting bodies are subject to a set of constant loads - normal force, shear force and bulk tension parallel with the interface - together with an…

Soft Condensed Matter · Physics 2019-08-22 H. N. Andresen , D. A. Hills , J. R. Barber , J. Vázquez

In this paper, we presented an experimental and theoretical analysis of the formation of the contact between a smooth elastomer lens and an elastomer substrate micropatterned with hexagonal arrays of cylindrical pillars. We show using a JKR…

In this work we evaluate the physical acceptability of relativistic anisotropic spheres modeled by two polytropic equations of state -- with the same newtonian limit -- commonly used to describe compact objects in General Relativity. We…

General Relativity and Quantum Cosmology · Physics 2021-02-02 D. Suárez-Urango , L. A. Núñez , H. Hernández

Scaling relations are used to study cross-overs, due to anisotropic spin interactions or single ion anisotropy, and due to disorder, in the thermodynamics and correlation functions near quantum-critical transitions. The principal results…

Strongly Correlated Electrons · Physics 2018-06-19 Chandra M. Varma

A scenario for yielding of granular matter is presented by considering the ensemble of force networks for a given contact network and applied shear stress $\tau$. As $\tau$ is increased, the probability distribution of contact forces…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jacco H. Snoeijer , Wouter G. Ellenbroek , Thijs. J. H. Vlugt , Martin van Hecke

We investigate the electrostatic interactions between two charged anisotropic conductors using a combination of asymptotic and numerical methods. For widely separated particles, we employ the method of reflections to analyze the…

Soft Condensed Matter · Physics 2025-01-13 Harshit Joshi , Anubhab Roy

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

An interesting recent paper by Menga, Carbone & Dini (MCD, 2018, [1]), suggests that in sliding adhesive contacts, the contact area should increase due to tangential shear stresses at the interface, assumed to be constant and corresponding…

Soft Condensed Matter · Physics 2019-08-14 G. Cricrì , M. Ciavarella

In the present article a new class of exact solutions of Einstein's field equations for charged anisotropic distribution is obtained on the background of pseudo-spheroidal spacetime characterized by the metric potential…

General Relativity and Quantum Cosmology · Physics 2016-04-07 B. S. Ratanpal , V. O. Thomas , D. M. Pandya
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