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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…

数学物理 · 物理学 2024-05-29 Nugzar Shavlakadze , Nana Odishelidze , Francisco Criado-Aldeanueva

A mechanical system consisting of an elastic beam under harmonic excitation and an attached sliding body is investigated. Recent experimental observations suggest that the system passively (self-)adapts the axial location of the slider to…

适应与自组织系统 · 物理学 2021-01-12 Malte Krack , Noha Aboulfotoh , Jens Twiefel , Jörg Wallaschek , Lawrence A. Bergman , Alexander F. Vakakis

Using molecular dynamics simulations of an incommensurate Au(111)/graphite interface, we investigate the conditions under which structural lubricity produces load-independent friction. We show that strict load independence occurs only in…

材料科学 · 物理学 2026-02-19 Hongyu Gao

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…

软凝聚态物质 · 物理学 2017-08-29 Valentin L. Popov , Iakov A. Lyashenko , Alexander E. Filippov

In the paper, we discuss the two-dimensional contact Muskat problem with zero surface tension of a free boundary. The initial shape of the unknown interface is a smooth simple curve which forms acute corners $\delta_{0}$ and $\delta_{1}$…

偏微分方程分析 · 数学 2024-11-25 Nataliya Vasylyeva

In this article we study the asymptotic behavior of solutions, in sense of global pullback attractors, of the evolution system $$ \begin{cases} u_{tt} +\eta\Delta^2 u+a(t)\Delta\theta=f(t,u), & t>\tau,\ x\in\Omega,\\ \theta_t-\kappa\Delta…

偏微分方程分析 · 数学 2016-09-05 Flank D. M. Bezerra , Vera L. Carbone , Marcelo J. D. Nascimento , Karina Schiabel

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…

广义相对论与量子宇宙学 · 物理学 2024-04-03 Tayyab Naseer , M. Sharif

A non-contact linear slider based on stable superconducting magnetic levitation with a long permanent magnet as a slider and two fixed superconducting disks which define the slide way has been designed, built and tested. The slider can be…

How friction affects adhesion is addressed. The problem is considered in the context of a very stiff sphere adhering to a compliant, isotropic, linear elastic substrate, and experiencing adhesion and frictional slip relative to each other.…

软凝聚态物质 · 物理学 2020-02-19 R. M. McMeeking , M. Ciavarella , G. Cricrì , K. -S. Kim

The contact between rough surfaces with adhesion is an extremely difficult problem, and the approximation of the DMT theory (to neglect deformations due to attractive forces), originally developed for spherical contact of very small radius,…

材料科学 · 物理学 2017-01-17 Michele Ciavarella

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…

A theory of reciprocating contacts for linear viscoelastic materials is presented. Results are discussed for the case of a rigid sphere sinusoidally driven in sliding contact with a viscoelastic half-space. Depending on the size of the…

材料科学 · 物理学 2016-05-04 Carmine Putignano , Giuseppe Carbone , Daniele Dini

We present new explicit tight and overtwisted contact structures on the (round) 3-sphere and the (flat) 3-torus for which the ambient metric is weakly compatible. Our proofs are based on the construction of nonvanishing curl eigenfields…

微分几何 · 数学 2024-09-25 Daniel Peralta-Salas , Radu Slobodeanu

We perform the analysis of predictions of a classical density functional theory for associating fluids with different association strength concerned with wetting of solid surfaces. The four associating sites water-like models with…

软凝聚态物质 · 物理学 2024-04-01 A. Kozina , M. Aguilar , O. Pizio , S. Sokołowski

In a recent paper [Phys. Rev. X 12, 031021], we reported experimental observations of ``ultrastable'' states in a shear-jammed granular system subjected to small-amplitude cyclic shear. In such states, all the particle positions and contact…

软凝聚态物质 · 物理学 2022-12-06 Yiqiu Zhao , Yuchen Zhao , Dong Wang , Hu Zheng , Bulbul Chakraborty , Joshua E. S. Socolar

All possible non-isomorphic arrangements of 12 spheres kissing a central sphere (the Gregory-Newton problem) are obtained for the sticky-hard-sphere (SHS) model, and subsequently projected by geometry optimization onto a set of structures…

原子与分子团簇 · 物理学 2018-10-10 Lukas Trombach , Peter Schwerdtfeger

We prove some results on the density and multiplicity of positive solutions to the prescribed Webster scalar curvature problem on the $(2n+1)$-dimensional standard unit CR sphere $(\mathbb{S} ^{2n+1},\theta_0)$. Specifically, we construct…

偏微分方程分析 · 数学 2024-04-23 Zhongwei Tang , Heming Wang , Bingwei Zhang

We establish the effective {\em finite dimensionality} of the dynamics corresponding to a flow-plate interaction PDE model arising in aeroelasticity: a nonlinear panel, in the absence of rotational inertia, immersed in an inviscid potential…

偏微分方程分析 · 数学 2020-06-25 Justin T. Webster

We consider an anisotropic version of Baxter's model of `sticky hard spheres', where a nonuniform adhesion is implemented by adding, to an isotropic surface attraction, an appropriate `dipolar sticky' correction (positive or negative,…

软凝聚态物质 · 物理学 2009-11-13 Domenico Gazzillo , Riccardo Fantoni , Achille Giacometti

We consider an adhesive contact between a thin soft layer on a rigid substrate and a rigid cylindrical indenter ("line contact") with account of the surface tension of the layer. First, it is shown that the boundary condition for the…

软凝聚态物质 · 物理学 2020-02-06 Valentin L. Popov