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A novel bilayer is introduced, consisting of a stiff film adhered to a soft substrate with patterned holes beneath the film and substrate interface. To uncover the transition of surface patterns, two dimensional plane strain simulations are…

Soft Condensed Matter · Physics 2017-04-07 Xiangbiao Liao , Liangliang Zhu , Hang Xiao , Junan Pan , Feng Hao , Xiaoyang Shi , Xi Chen

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…

Soft Condensed Matter · Physics 2026-05-18 Keisuke Yoshida , Hirofumi Wada

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.…

The wrinkling of thin elastic objects provides a means of generating regular patterning at small scales in applications ranging from photovoltaics to microfluidic devices. Static wrinkle patterns are known to be governed by an energetic…

Soft Condensed Matter · Physics 2020-01-28 Finn Box , Doireann O'Kiely , Ousmane Kodio , Maxime Inizan , Alfonso A. Castrejon-Pita , Dominic Vella

Shells, when confined, can deform in a broad assortment of shapes and patterns, often quite dissimilar to what is produced by their flat counterparts (plates). In this work we discuss the morphological landscape of shells deposited on a…

Soft Condensed Matter · Physics 2018-06-12 Octavio Albarrán , Desislava V. Todorova , Eleni Katifori , Lucas Goehring

We study the transition from flat to wrinkled region in uniaxially stretched thin elastic film. We set up a model variational problem, and study energy of its ground state. Using known scaling bounds for the minimal energy, the minimal…

Analysis of PDEs · Mathematics 2015-06-19 Peter Bella

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…

Soft Condensed Matter · Physics 2025-11-18 I. Levin , S. L. Keller

A rectangular thin elastic sheet is deformed by forcing a contact between two points at the middle of its length. A transition to buckling with stress focusing is reported for the sheets sufficiently narrow with a critical width…

Soft Condensed Matter · Physics 2021-07-14 Thomas Barois , Ilyes Jalisse , Loïc Tadrist , Emmanuel Virot

A variational framework is introduced to describe how a surface bends when it is subject to local constraints on its geometry. This framework is applied to describe the patterns of a folded sheet of paper. The unstretchability of paper…

Other Condensed Matter · Physics 2008-01-24 Jemal Guven , Martin Michael Mueller

We revisit the delamination of a solid adhesive sheet under uniaxial compression from a flat, rigid substrate. Using energetic considerations and scaling arguments we show that the phenomenology is governed by three dimensionless groups,…

Soft Condensed Matter · Physics 2021-03-12 Benny Davidovitch , Vincent Démery

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

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…

Soft Condensed Matter · Physics 2024-01-25 Veit Krause , Axel Voigt

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…

Soft Condensed Matter · Physics 2023-09-14 Lucia Stein-Montalvo , Arman Guerra , Kanani Almeida , Ousmane Kodio , Douglas P. Holmes

We have studied experimentally and theoretically the response of randomly folded hyperelastic and elastoplastic sheets on the uniaxial compression loading and the statistical properties of crumpling networks. The results of these studies…

Statistical Mechanics · Physics 2008-08-26 Alexander S. Balankin , Orlando Susarrey Huerta

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.…

Numerical Analysis · Mathematics 2025-03-20 H. M. Verhelst , M. Möller , J. H. Den Besten

We demonstrate spontaneous wrinkling as a transient dynamical pattern in thin freely floating smectic liquid-crystalline films. The peculiarity of such films is that, while flowing liquid-like in the film plane, they cannot quickly expand…

Soft Condensed Matter · Physics 2019-11-12 Kirsten Harth , Torsten Trittel , Kathrin May , Ralf Stannarius

Cells exert traction forces on compliant substrates and can induce surface instabilities that appear as characteristic wrinkling patterns. Here, we develop a mechanical description of cell-induced wrinkling on soft substrates using a thin…

Soft Condensed Matter · Physics 2026-03-16 Aleksandra Ardaševa , Varun Venkatesh , Daiki Matsunaga , Shinji Deguchi , Amin Doostmohammadi

Switchable and adaptive substrates emerged as valuable tools for the control of wetting and actuation of droplet motion. Here we report a computational study of the dynamics of an unstable thin liquid film deposited on a switchable…

Fluid Dynamics · Physics 2024-01-03 Stefan Zitz , Andrea Scagliarini , Jens Harting

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…

Analysis of PDEs · Mathematics 2017-04-12 Peter Bella , Robert V. Kohn

We study the peculiar wrinkling pattern of an elastic plate stamped into a spherical mold. We show that the wavelength of the wrinkles decreases with their amplitude, but reaches a maximum when the amplitude is of the order of the thickness…

Soft Condensed Matter · Physics 2015-06-05 J. Hure , B. Roman , J. Bico