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We demonstrate with experiments that wrinkling in stretched latex sheets occur over finite strains, and that their amplitudes grow and then decay to zero over a greater range of applied strains compared with linear elastic materials. The…

Soft Condensed Matter · Physics 2019-11-27 Andreea Panaitescu , Meng Xin , Benny Davidovitch , Julien Chopin , Arshad Kudrolli

Atomically thin films, like transition metal dichalcogenides, can now be synthesized at wafer scale, achieving the same extreme aspect ratio (~10^8) that a sheet of paper would have if it covered an entire city. Yet, the intrinsic (i.e.…

Mesoscale and Nanoscale Physics · Physics 2025-07-15 Jaehyung Yu , Colin Scheibner , Ce Liang , Thomas A. Witten , Vincenzo Vitelli , Jiwoong Park

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…

Soft Condensed Matter · Physics 2026-05-13 Yang Liu , Sepideh Razavi , Pietro Cicuta , Dominic Vella , Alain Goriely

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…

Soft Condensed Matter · Physics 2015-06-30 Oz Oshri , Fabian Brau , Haim Diamant

Wrinkling of stretched elastic sheets is widely observed, and the scaling relations between the amplitude and wavelength of the wrinkles have been proposed by Cerda and Mahadevan. However, the surface effects should be taken into account…

Mesoscale and Nanoscale Physics · Physics 2013-11-22 Jie Gu

We investigate the stability of the deformation modeled by the opening angle method, often used to give a measure of residual stresses in arteries and other biological soft tubular structures. Specifically, we study the influence of…

Soft Condensed Matter · Physics 2020-09-09 Michel Destrade , Irene Lusetti , Robert Mangan , Taisiya Sigaeva

A controlled surface wrinkling pattern has been widely used in diverse applications, such as stretchable electronics, smart windows, and haptics. Here, we focus on hexagonal wrinkling patterns because of their great potentials in realizing…

Soft Condensed Matter · Physics 2021-02-24 Teng Zhang

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…

Mathematical Physics · Physics 2012-02-17 Peter Bella , Robert V. Kohn

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

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 investigate the relaxation of rectangular wrinkled thin films intrinsically containing an initial strain gradient. A preferential rolling direction, depending on wrinkle geometry and strain gradient, is theoretically predicted and…

Mesoscale and Nanoscale Physics · Physics 2012-06-14 P. Cendula , S. Kiravittaya , I. Mönch , J. Schumann , O. G. Schmidt

Flow of a thin viscous film down a flat inclined plane becomes unstable to long wave interfacial fluctuations when the Reynolds number based on the mean film thickness becomes larger than a critical value (this value decreases as the angle…

Fluid Dynamics · Physics 2016-01-20 Alice B. Thompson , Dmitri Tseluiko , Demetrios T. Papageorgiou

We propose a continuum theory to model the Mullins effect, which is ubiquitously observed in polymer composites. In the theory, the softening of the materials during the stretching process is accounted for by considering the delamination of…

Soft Condensed Matter · Physics 2020-09-30 Daoyuan Qian , Fanlong Meng

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

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…

Soft Condensed Matter · Physics 2024-01-23 A. Mirandola , A. Cutolo , A. R. Carotenuto , N. Nguyen , L. Pocivavsek , M. Fraldi , L. Deseri

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

The influence of wall slip on the instability of a non-wetting liquid film placed on a solid substrate is analyzed in the limit of negligible inertia. In particular, we focus on the stability properties of the film, comparing the…

Fluid Dynamics · Physics 2020-10-16 A. Martínez-Calvo , D. Moreno-Boza , A. Sevilla

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

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

The adhesion of a stiff film onto a curved substrate often generates elastic stresses in the film that eventually give rise to its delamination. Here we predict that delamination of very thin films can be dramatically suppressed through…

Soft Condensed Matter · Physics 2015-06-23 Evan Hohlfeld , Benny Davidovitch