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We show that thin sheets under boundary confinement spontaneously generate a universal self-similar hierarchy of wrinkles. From simple geometry arguments and energy scalings, we develop a formalism based on wrinklons, the transition zone in…

We experimentally study linear and nonlinear waves on the surface of a fluid covered by an elastic sheet where both tension and flexural waves take place. An optical method is used to obtain the full space-time wave field, and the…

流体动力学 · 物理学 2014-02-10 Luc Deike , Jean-Claude Bacri , Eric Falcon

Entangled states are ubiquitous amongst fibrous materials, whether naturally occurring (keratin, collagen, DNA) or synthetic (nanotube assemblies, elastane). A key mechanical characteristic of these systems is their ability to reorganise in…

Thin elastic sheets and membranes are known to wrinkle when they are stretched -- the associated physics is highly non-linear. The mechanics of thin films that exhibit unusual behavior upon stretching, when they possess auxetic structure,…

软凝聚态物质 · 物理学 2020-07-22 Alessandra Bonfanti , Atul Bhaskar

We consider a disk-shaped thin elastic sheet bonded to a compliant sphere. (Our sheet can slip along the sphere; the bonding controls only its normal displacement.) If the bonding is stiff (but not too stiff), the geometry of the sphere…

偏微分方程分析 · 数学 2017-04-12 Peter Bella , Robert V. Kohn

The optimal shapes attained by contractile cells on adhesive substrates are determined by the interplay between intracellular forces and adhesion with the extracellular matrix. We model the cell as a contractile film bounded by an elastic…

生物物理 · 物理学 2013-05-10 Shiladitya Banerjee , Luca Giomi

We consider a model of a thin film elastically attached to a rigid substrate. In the case in which the film expands relative to the substrate and assuming certain non-linear elastic behavior of the film, expansion ridges may appear, in…

统计力学 · 物理学 2009-11-11 E. A. Jagla

We study the effect of a structural nanoconstriction on the coherent transport properties of otherwise ideal zig-zag-edged infinitely long graphene ribbons. The electronic structure is calculated with the standard one-orbital tight-binding…

介观与纳米尺度物理 · 物理学 2007-05-23 F. Muñoz-Rojas , D. Jacob , J. Fernández-Rossier , J. J. Palacios

We revisit the problem of electron transport in clean and disordered zigzag graphene nanoribbons, and expose numerous hitherto unknown peculiar properties of these systems at zero energy, where both sublattices decouple because of chiral…

介观与纳米尺度物理 · 物理学 2014-12-16 J. M. Luck , Y. Avishai

We investigate the wrinkling dynamics of a thin elastic sheet that is indented or compressed while floating on a viscous liquid. We show that the deformation speed controls the dynamics, leading to a wrinkle wavelength significantly smaller…

软凝聚态物质 · 物理学 2026-01-21 Ayrton Draux , Marco Rizzo , Dominic Vella , Vincent Démery , Fabian Brau , Pascal Damman

The cores of edge dislocations, edge dislocation dipoles and edge dislocation loops in planar graphene have been studied by means of periodized discrete elasticity models. To build these models, we have found a way to discretize linear…

材料科学 · 物理学 2008-08-07 A. Carpio , L. L. Bonilla

Ribbons of two-dimensional lattices have properties depending sensitively on the morphology of the two edges. For regular ribbons with two parallel straight edges, the atomic chains terminating the two edges may have more than one choices…

介观与纳米尺度物理 · 物理学 2023-04-27 Lei Hao

Change of the bonding environment at the free edges of graphene monolayer leads to excess edge energy and edge force, depending on the edge morphology (zigzag or armchair). By using a reactive empirical bond-order potential and atomistic…

介观与纳米尺度物理 · 物理学 2013-05-29 Qiang Lu , Rui Huang

Gauge-theory approach to describe Dirac fermions on a disclinated flexible membrane beyond the inextensional limit is formulated. The elastic membrane is considered as an embedding of 2D surface into R^3. The disclination is incorporated…

介观与纳米尺度物理 · 物理学 2015-05-19 E. A. Kochetov , V. A. Osipov , R. Pincak

Continuum elasticity is a powerful tool applicable in a broad range of physical systems and phenomena. Yet, understanding how and on what scales material disorder may lead to the breakdown of continuum elasticity is not fully understood. We…

软凝聚态物质 · 物理学 2023-04-11 Edan Lerner , Eran Bouchbinder

A collection of thin structures buckle, bend, and bump into each-other when confined. This contact can lead to the formation of patterns: hair will self-organize in curls; DNA strands will layer into cell nuclei; paper, when crumpled, will…

软凝聚态物质 · 物理学 2023-04-19 Arman Guerra , Anja Slim , Douglas P. Holmes , Ousmane Kodio

Topological dislocations in otherwise periodic lattices represent global structural defects that, nevertheless, typically leave the lattice periodicity intact far from the dislocation. Such dislocations arise in diverse physical systems…

We develop an irregular lattice mass-spring-model (MSM) to simulate and study the deformation modes of a thin elastic ribbon as a function of applied end-to-end twist and tension. Our simulations reproduce all reported experimentally…

软凝聚态物质 · 物理学 2023-08-02 Madelyn Leembruggen , Jovana Andrejevic , Arshad Kudrolli , Chris H. Rycroft

Topological defects are a universal concept across many disciplines, such as crystallography, liquid-crystalline physics, low-temperature physics, cosmology, and even biology. In nematic liquid crystals, topological defects called…

软凝聚态物质 · 物理学 2024-06-19 Yohei Zushi , Cody D. Schimming , Kazumasa A. Takeuchi

Topological defects are a ubiquitous phenomenon in diverse physical systems. In nematic liquid crystals (LCs), they are dynamic, physicochemically distinct, sensitive to stimuli, and are thereby promising for a range of applications.…

软凝聚态物质 · 物理学 2023-12-25 Shengzhu Yi , Hao Chen , Xinyu Wang , Miao Jiang , Bo Li , Qi-huo Wei , Rui Zhang