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Thin elastic solids are easily deformed into a myriad of three-dimensional shapes, which may contain sharp localized structures as in a crumpled candy wrapper, or have smooth and diffuse features like the undulating edge of a flower.…

Thin sheets respond to confinement by smoothly wrinkling, or by focusing stress into small, sharp regions. From engineering to biology, geology, textiles, and art, thin sheets are packed and confined in a wide variety of ways, and yet…

软凝聚态物质 · 物理学 2023-09-14 Lucia Stein-Montalvo , Arman Guerra , Kanani Almeida , Ousmane Kodio , Douglas P. Holmes

A laterally confined thin elastic sheet lying on a liquid substrate displays regular undulations, called wrinkles, characterized by a spatially extended energy distribution and a well-defined wavelength $\lambda$. As the confinement…

软凝聚态物质 · 物理学 2015-06-30 Oz Oshri , Fabian Brau , Haim Diamant

Soft elastic sheets resting on rigid surfaces develop wrinkles, rucks, and folds due to the combined influence of elasticity, gravity, and contact interactions. Despite their ubiquity, the principles governing their morphology and…

软凝聚态物质 · 物理学 2026-05-18 Keisuke Yoshida , Hirofumi Wada

The method of molecular dynamics and molecular mechanics has been used to numerically simulate the formation of wrinkle systems during compression of a graphene sheet lying on a flat solid substrate. It is shown that under uniaxial…

介观与纳米尺度物理 · 物理学 2024-12-13 Alexander V. Savin , Artem P. Klinov

Complex textured surfaces occur in nature and industry, from fingerprints to lithography-based micropatterns. Wrinkling by confinement to an incompatible substrate is an attractive way of generating reconfigurable patterned topographies,…

Modeling of wrinkles and folds formation in single and multilayer graphene sheets lying on flat deformable (polymer) substrates has been carried out. It is shown that the deformability of the substrate leads to the appearance of significant…

介观与纳米尺度物理 · 物理学 2024-07-09 Alexander V. Savin

Thin elastic sheets bend easily, leading to mechanical instabilities such as wrinkling. Here, we investigate wrinkles at edges of bi-strips, which consist of two thin sheets, one that swells and one that does not, joined side-by-side. It is…

软凝聚态物质 · 物理学 2025-11-18 I. Levin , S. L. Keller

A paradigm for the study of wrinkling in elastic sheet is the Lam\'{e} configuration, in which azimuthal wrinkles form in an annular sheet subjected to tensile loads at both edges. Since wrinkles are spatially extended, this instability…

软凝聚态物质 · 物理学 2026-05-13 Yang Liu , Sepideh Razavi , Pietro Cicuta , Dominic Vella , Alain Goriely

Graphene is only one atom thick and becomes the ultimate thin film to explore membrane physics and mechanics. Here we study hierarchy of graphene wrinkles induced by thermal strain engineering and demonstrate that the wrinkling hierarchy…

介观与纳米尺度物理 · 物理学 2013-12-23 Lan Meng , Ying Su , Dechao Geng , Gui Yu , Yunqi Liu , Rui-Fen Dou , Jia-Cai Nie , Lin He

Delamination of coatings and thin films from substrates generates a fascinating variety of patterns, from circular blisters to wrinkles and labyrinth domains, in a way that is not completely understood. We report on large-scale numerical…

材料科学 · 物理学 2015-03-12 Zoe Budrikis , Alessandro L. Sellerio , Zsolt Bertalan , Stefano Zapperi

Wrinkling instabilities of thin elastic sheets can be used to generate periodic structures over a wide range of length scales. Viscosity of the thin elastic sheet or its surrounding medium has been shown to be responsible for dynamic…

软凝聚态物质 · 物理学 2024-01-25 Veit Krause , Axel Voigt

Graphene, dubbed as a two-dimensional material represents the topological concept of "surface" embedded in a three-dimensional space. This regard enables to employ existing theories/tools in topology to understand different…

介观与纳米尺度物理 · 物理学 2018-09-27 Hadi Arjmandi-Tash , Alexander Kloosterman , Gregory F. Schneider

It is well known that an elastic sheet loaded in tension will wrinkle and that the length scale of the wrinkles tends to zero with vanishing thickness of the sheet [Cerda and Mahadevan, Phys. Rev. Lett. 90, 074302 (2003)]. We give the first…

数学物理 · 物理学 2012-02-17 Peter Bella , Robert V. Kohn

We model the formation and evolution of wrinkles in a floating elastic sheet under uniaxial compression. This is a canonical setup in the study of wrinkling, and whilst its static equilibrium configuration is well characterised, its…

流体动力学 · 物理学 2025-10-31 Daniel J. Netherwood , Ben S. Humphries , Connor Robbins , Doireann O'Kiely

Wrinkling is the phenomenon of out-of-plane deformation patterns in thin walled structures, as a result of a local compressive (internal) loads in combination with a large membrane stiffness and a small but non-zero bending stiffness.…

数值分析 · 数学 2025-03-20 H. M. Verhelst , M. Möller , J. H. Den Besten

As a confined thin sheet crumples, it spontaneously segments into flat facets delimited by a network of ridges. Despite the apparent disorder of this process, statistical properties of crumpled sheets exhibit striking reproducibility.…

软凝聚态物质 · 物理学 2021-03-08 Jovana Andrejevic , Lisa M. Lee , Shmuel M. Rubinstein , Chris H. Rycroft

We study the dynamic coarsening of wrinkles in an elastic sheet that is compressed while lying on a thin layer of viscous liquid. When the ends of the sheet are instantaneously brought together by a small distance, viscous resistance…

流体动力学 · 物理学 2017-03-24 Ousmane Kodio , Ian M. Griffiths , Dominic Vella

Thin solids often develop elastic instabilities and subsequently complex, multiscale deformation patterns. Revealing the organizing principles of this spatial complexity has ramifications for our understanding of morphogenetic processes in…

软凝聚态物质 · 物理学 2020-02-28 Oleh Tovkach , Junbo Chen , Monica M. Ripp , Teng Zhang , Joseph D. Paulsen , Benny Davidovitch

We consider the elastic energy of a hanging drape -- a thin elastic sheet, pulled down by the force of gravity, with fine-scale folding at the top that achieves approximately uniform confinement. This example of energy-driven pattern…

偏微分方程分析 · 数学 2015-07-30 Peter Bella , Robert V. Kohn
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