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Periodic wrinkling of a rigid capping layer on a deformable substrate provides a useful method for templating surface topography for a variety of novel applications. Many experiments have studied wrinkle formation during the compression of…

Soft Condensed Matter · Physics 2020-04-21 John F. Niven , Gurkaran Chowdhry , James S. Sharp , Kari Dalnoki-Veress

The thin-shell instability has been named as one process, which can generate entangled structures in astrophysical plasma on collisional (fluid) scales. It is driven by a spatially varying imbalance between the ram pressure of the inflowing…

High Energy Astrophysical Phenomena · Physics 2015-09-30 M. E. Dieckmann , H. Ahmed , D. Doria , G. Sarri , R. Walder , D. Folini , A. Bret , A. Ynnerman , M. Borghesi

We examine the shape change of a thin disk with an inserted wedge of material when it is pushed against a plane, using analytical, numerical and experimental methods. Such sheets occur in packaging, surgery and nanotechnology. We…

Soft Condensed Matter · Physics 2015-06-23 Efi Efrati , Luka Pocivavsek , Ruben Meza , Ka Yee C. Lee , Thomas A. Witten

In this paper we introduce a variational model for the study of multilayer films that allows for the treatment of both coherent and incoherent interfaces between layers. The model is designed in the framework of the theory of Stress Driven…

Analysis of PDEs · Mathematics 2024-01-29 Randy Llerena , Paolo Piovano

To study the effect of stress within the thin amorphous film generated atop Si irradiated by Ar+, we model the film as a viscoelastic medium into which the ion beam continually injects biaxial compressive stress. We find that at normal…

Mathematical Physics · Physics 2015-06-03 Scott A. Norris

We examine the buckling shape and critical compression of confined inhomogeneous composite sheets lying on a liquid foundation. The buckling modes are controlled by the bending stiffness of the sheet, the density of the substrate, and the…

Soft Condensed Matter · Physics 2023-12-04 Marc Suñé , Cristóbal Arratia , A. F. Bonfils , Dominic Vella , J. S. Wettlaufer

Compressive mechanical stress exceeding a critical value leads to the formation of periodic surface buckling patterns in film-substrate systems. A comprehensive understanding of this buckling phenomenon is desired in applications where the…

Materials Science · Physics 2025-02-20 Wenqing Zhu

Recent work demonstrates that finite-deformation nonlinear elasticity is essential in the accurate modeling of wrinkling in highly stretched thin films. Geometrically exact models predict an isola-center bifurcation, indicating that for a…

Soft Condensed Matter · Physics 2018-08-15 Eszter Feher , Timothy J. Healey , Andras A. Sipos

A thin, elastic sheet floating on the surface of a liquid bath wrinkles when poked at its centre. We study the onset of wrinkling as well as the evolution of the pattern as indentation progresses far beyond the wrinkling threshold. We use…

Soft Condensed Matter · Physics 2018-07-31 Dominic Vella , Benny Davidovitch

We consider a cylindrical film of fluid adhering to a rigid cylinder of fixed radius. The main result is to give the critical (maximum) length for which such a film of given thickness can be stable. The problem is considered both when the…

Analysis of PDEs · Mathematics 2016-09-07 John McCuan

We investigate the elasticity of unsupported epithelial monolayer and we discover that unlike a thin solid plate, which wrinkles if geometrically incompatible with the underlying substrate, the epithelium may do so even in absence of the…

Soft Condensed Matter · Physics 2023-05-24 Urška Andrenšek , Primož Ziherl , Matej Krajnc

We develop the Elastically Collective Nonlinear Langevin Equation theory to investigate, for the first time, glassy dynamics in capped metallic glass thin films. Finite-size effects on the spatial gradient of structural relaxation time and…

Soft Condensed Matter · Physics 2022-02-02 Anh D. Phan

We study the depinning transitions of elastic strings in disordered media in two different cases. We consider the elastic forces to be of infinite range in one case, where the magnitude is proportional to the extension of the string. The…

Statistical Mechanics · Physics 2011-08-09 Soumyajyoti Biswas , Bikas K. Chakrabarti

Thin liquid films are ubiquitous in natural phenomena and technological applications. They have been extensively studied via deterministic hydrodynamic equations, but thermal fluctuations often play a crucial role that needs to be…

The elastocapillary instability of a flexible plate plunged in a liquid bath is analysed theoretically. We show that the plate can bend due to two separate destabilizing mechanisms, when the liquid is partially wetting the solid. For…

Fluid Dynamics · Physics 2015-05-30 Bruno Andreotti , Antonin Marchand , Siddhartha Das , Jacco H. Snoeijer

We present a combined analytical approach and numerical study on the stability of a ring bound to an annular elastic substrate, which contains a circular cavity. The system is loaded by depressurizing the inner cavity. The ring is modeled…

Soft Condensed Matter · Physics 2016-04-20 R. Lagrange , F. López Jiménez , D. Terwagne , M. Brojan , P. M. Reis

Topological defects are crucial to the thermodynamics and structure of condensed matter systems. For instance, when incorporated into crystalline membranes like graphene, disclinations with positive and negative topological charge…

Soft Condensed Matter · Physics 2018-08-29 Isaac R. Bruss , Gregory M. Grason

Thin elastic films can spontaneously attach to liquid interfaces, offering a platform for tailoring their physical, chemical, and optical properties. Current understanding of the elastocapillarity of thin films is based primarily on studies…

The localized loading of an elastic sheet floating on a liquid bath occurs at scales from a frog sitting on a lily pad to a volcano supported by the Earth's tectonic plates. The load is supported by a combination of the stresses within the…

Soft Condensed Matter · Physics 2017-11-01 Finn Box , Dominic Vella , Robert Style , Jerome A. Neufeld

Stress-strain relations for random packings of entangling chains under triaxial compression can exhibit strain stiffening and sustain stresses several orders-of-magnitude beyond typical granular materials. X-ray tomography reveals the…

Soft Condensed Matter · Physics 2025-02-12 Eric Brown , Kevin A. Mitchell , Alice Nasto , Athanasios Athanassiadis , Heinrich M. Jaeger
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