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Different hypotheses have been proposed to explain the mechanism for the extremely low friction coefficient of carbon coatings and its undesired dependence on air humidity. A decisive atomistic insight is still lacking because of the…

介观与纳米尺度物理 · 物理学 2016-05-04 Seiji Kajita , Maria Clelia Righi

We consider an equation for a thin-film of fluid on a rotating cylinder and present several new analytical and numerical results on steady state solutions. First, we provide an elementary proof that both weak and classical steady states…

偏微分方程分析 · 数学 2011-10-31 Daniel Ginsberg , Gideon Simpson

The paper addresses the problem of a Mode III interfacial crack advancing quasi-statically in a heterogeneous composite material, that is a two-phase material containing elastic inclusions, both soft and stiff, and defects, such as…

数学物理 · 物理学 2011-10-25 Andrea Piccolroaz , Gennady Mishuris , Alexander Movchan , Natasha Movchan

We propose a full 3D benchmark problem for brittle fracture based on experiments as well as a validation in the context of phase-field models. The example consists of a series of four-point bending tests on graphite specimens with sharp…

计算工程、金融与科学 · 计算机科学 2020-04-22 Lisa Hug , Stefan Kollmannsberger , Zohar Yosibash , Ernst Rank

Despite extensive studies on either smooth granular-fluid flow or the solid-like deformation at the slow limit, the change between these two extremes remains largely unexplored. By systematically investigating the fluctuations of tightly…

软凝聚态物质 · 物理学 2021-03-31 Jih-Chiang , Tsai , Guan-Hao Huang , Cheng-En Tsai

The shear strength of a pre-cracked sandwich layer is predicted, assuming that the layer is linear elastic or elastic-plastic, with yielding characterized by either J2 plasticity theory or by a strip-yield model. The substrates are elastic…

材料科学 · 物理学 2020-01-08 E. Martínez-Pañeda , I. I. Cuesta , N. A. Fleck

Wrinkling, creasing and folding are frequent phenomena encountered in biological and man-made bilayers made by thin films bonded to thicker and softer substrates often containing fibers. Paradigmatic examples of the latter are the skin, the…

软凝聚态物质 · 物理学 2024-01-23 A. Mirandola , A. Cutolo , A. R. Carotenuto , N. Nguyen , L. Pocivavsek , M. Fraldi , L. Deseri

Cracks in thin layers are influenced by what lies beneath them. From buried craters to crocodile skin, crack patterns are found over an enormous range of length scales. Regardless of absolute size, their substrates can dramatically…

软凝聚态物质 · 物理学 2016-11-15 Pawan Nandakishore , Lucas Goehring

Classical rupture is attributed to molecular (van der Waals) forces acting at nanometric thicknesses. Nonetheless, micron-thick liquid sheets routinely perforate far above the scale where these molecular forces act, yet the mechanism that…

流体动力学 · 物理学 2026-03-31 Ayush K. Dixit , Chunheng Zhao , Stéphane Zaleski , Detlef Lohse , Vatsal Sanjay

For a comprehensive characterization of mechanical reliability of metallization layers on polymer substrates both electrical and mechanical degradation should be taken into account. Although it is evident that cracking of a conductive film…

材料科学 · 物理学 2019-04-08 Oleksandr Glushko , Philipp Kraker , M. J. Cordill

Differential shrinkage in particulate quasi-brittle materials causes microcracking which reduces durability in these materials by increasing their mass transport properties. A hydro-mechanical three-dimensional periodic network approach was…

材料科学 · 物理学 2017-10-13 Ignatios Athanasiadis , Simon J. Wheeler , Peter Grassl

This paper is motivated by the complex blister patterns sometimes seen in thin elastic films on thick, compliant substrates. These patterns are often induced by an elastic misfit which compresses the film. Blistering permits the film to…

偏微分方程分析 · 数学 2013-04-02 Jacob Bedrossian , Robert V. Kohn

We discuss the stick-slip motion of an elastic block sliding along a rigid substrate. We argue that for a given external shear stress this system shows a discontinuous nonequilibrium transition from a uniform stick state to uniform sliding…

软凝聚态物质 · 物理学 2009-11-10 Efim A. Brener , S. V. Malinin , V. I. Marchenko

Phase equilibria between regions of different thickness in thin liquid films stabilized by colloidal particles are investigated using a quasi-two-dimensional thermodynamic formalism. Appropriate equilibrium conditions for the film tension,…

软凝聚态物质 · 物理学 2009-11-11 J. Blawzdziewicz , E. Wajnryb

The material characterization of ultra-thin solid sheets, including two-dimensional materials like graphene, is often performed through indentation tests on a flake suspended over a hole in a substrate. While this `suspended indentation' is…

材料科学 · 物理学 2020-09-03 Thomas G. J. Chandler , Dominic Vella

Free boundaries of biofilms advancing on surfaces evolve according to conservation laws coupled with systems of partial differential equations for velocities, pressures and chemicals affecting cell behavior. Thin film approximations lead to…

偏微分方程分析 · 数学 2024-03-18 Ana Carpio , Gema Duro

Drying induced cracking of concrete surfaces and repair layers is a common problem. A principal cause for this type of cracking is the moisture and resulting contraction gradient that develops in the cement paste matrix upon drying. This…

材料科学 · 物理学 2015-09-17 Jan Bisschop , Falk K. Wittel

We study a higher-dimensional thin film equation that incorporates competitive effects between aggregation and repulsion, where repulsion is modeled by fourth-order diffusion and aggregation by backward second-order degenerate diffusion,…

偏微分方程分析 · 数学 2026-02-24 Shen Bian

We investigate the roughening of shear cracks running along the interface between a thin film and a rigid substrate. We demonstrate that short-range correlated fluctuations of the interface strength lead to self-affine roughening of the…

材料科学 · 物理学 2015-05-13 M. Zaiser , P. Moretti , A. Konstantinidis , E. C. Aifantis

With the aim of understanding failure modes in the peeling of silicone-based adhesive joints and, in particular, the occurrence of adhesive or cohesive failure, an experimental campaign has been conducted by considering plastic substrates…