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Slender elastic objects such as a column tend to buckle under loads. While static buckling is well understood as a bifurcation problem, the evolution of shapes during dynamic buckling is much harder to study. Elastic rings under normal…

Soft Condensed Matter · Physics 2020-05-14 Ousmane Kodio , Alain Goriely , Dominic Vella

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

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

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…

Soft Condensed Matter · Physics 2026-01-21 Ayrton Draux , Marco Rizzo , Dominic Vella , Vincent Démery , Fabian Brau , Pascal Damman

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

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

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

Growth-induced instabilities are ubiquitous in biological systems and lead to diverse morphologies in the form of wrinkling, folding, and creasing. The current work focusses on the mechanics behind growth-induced wrinkling instabilities in…

Pattern Formation and Solitons · Physics 2022-06-28 Sumit Mehta , Gangadharan Raju , Prashant Saxena

This work investigates the morphological stability of a soft body composed of two heavy elastic layers, attached to a rigid surface and subjected only to the bulk gravity force. Using theoretical and computational tools, we characterize the…

Soft Condensed Matter · Physics 2017-09-21 Davide Riccobelli , Pasquale Ciarletta

We consider the point indentation of a pressurized, spherical elastic shell. Previously it was shown that such shells wrinkle once the indentation reaches a threshold value. Here, we study the behaviour of this system beyond the onset of…

Soft Condensed Matter · Physics 2015-11-25 Dominic Vella , Hamid Ebrahimi , Ashkan Vaziri , Benny Davidovitch

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

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

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

We consider the point-indentation of a pressurized elastic shell. It has previously been shown that such a shell is subject to a wrinkling instability as the indentation depth is quasi-statically increased. Here we present detailed analysis…

Soft Condensed Matter · Physics 2017-04-12 Matteo Taffetani , Dominic Vella

The buckling of elastic bodies is a common phenomenon in the mechanics of solids. Wrinkling of membranes can often be interpreted as buckling under constraints that prohibit large amplitude deformation. We present a combination of analytic…

Soft Condensed Matter · Physics 2007-05-23 A. Concha , J. W. McIver , P. Mellado , D. Clarke , O. Tchernyshyov , R. L. Leheny

Instabilities in thin elastic sheets, such as wrinkles, are of broad interest both from a fundamental viewpoint and also because of their potential for engineering applications. Nematic liquid crystal elastomers offer a new form of control…

Soft Condensed Matter · Physics 2019-10-03 Madison S. Krieger , Marcelo A. Dias

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 investigate the wrinkling dynamics of an elastic filament immersed in a viscous fluid submitted to compression at a finite rate with experiments and by combining geometric nonlinearities, elasticity, and slender body theory. The drag…

Soft Condensed Matter · Physics 2017-08-30 Julien Chopin , Moumita Dasgupta , Arshad Kudrolli

Recent experiments by Kantsler et. al. (2007) have shown that the relaxational dynamics of a vesicle in external elongation flow is accompanied by the formation of wrinkles on a membrane. Motivated by these experiments we present a theory…

Soft Condensed Matter · Physics 2013-05-29 K. S. Turitsyn , S. S. Vergeles

Take a drinking straw and bend it from its ends. After sufficient bending, the tube buckles forming a kink, where the curvature is localized in a very small area. This instability, known generally as the Brazier effect, is inherent to…

Soft Condensed Matter · Physics 2024-04-11 Cesar L. Pastrana , Luyi Qiu , John W. Hutchinson , Ariel Amir , Ulrich Gerland
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