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Structures with artificial mechanical properties, often called mechanical metamaterials, exhibit divergent yet tunable performance. Various types of mechanical metamaterials have been proposed, which harness light or magnetic interactions,…

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 consider the axial compression of a thin sheet wrapped around a rigid cylindrical substrate. In contrast to the wrinkling-to-fold transitions exhibited in similar systems, we find that the sheet always buckles into a single symmetric…

Soft Condensed Matter · Physics 2015-07-13 Norbert Stoop , Martin Michael Müller

We study the periodic buckling patterns that emerge when elastic shells are subjected to geometric confinement. Residual swelling provides access to range of shapes (saddles, rolled sheets, cylinders, and spherical sections) which vary in…

Soft Condensed Matter · Physics 2018-10-12 Lucia Stein-Montalvo , Paul Costa , Matteo Pezzulla , Douglas P. Holmes

Shell buckling is central in many biological structures and advanced functional materials, even if, traditionally, this elastic instability has been regarded as a catastrophic phenomenon to be avoided for engineering structures. Either way,…

Soft Condensed Matter · Physics 2021-05-17 Dong Yan , Matteo Pezzulla , Lilian Cruveiller , Arefeh Abbasi , Pedro M. Reis

Thin sheets that are forced at their boundaries develop a variety of shapes aimed at minimising elastic energy by curving spontaneously in ways that break the symmetry of the sheet and the forcing. Characterising such buckling generally…

Soft Condensed Matter · Physics 2019-05-22 Anshuman S. Pal

A growing or compressed thin elastic sheet adhered to a rigid substrate can exhibit a buckling instability, forming an inward hump. Our study shows that the strip morphology depends on the delicate balance between the compression energy and…

Soft Condensed Matter · Physics 2016-02-17 Gaetano Napoli , Stefano S. Turzi

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,…

Soft Condensed Matter · Physics 2023-03-21 Ian Tobasco , Yousra Timounay , Desislava Todorova , Graham C. Leggat , Joseph D. Paulsen , Eleni Katifori

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 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

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

Curvature and mechanics are intimately connected for thin materials, and this coupling between geometry and physical properties is readily seen in folded structures from intestinal villi and pollen grains, to wrinkled membranes and…

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

Motivated by the buckling of glassy crusts formed on evaporating droplets of polymer and colloid solutions, we numerically model the deformation and buckling of spherical elastic caps controlled by varying the volume between the shell and…

Materials Science · Physics 2009-11-11 D. A. Head

Elastic cylindrical shells are fitted with an internal mechanism which is optimized so that, in the quasi-static regime, the combined system exhibits prescribed effective acoustic properties. The mechanism consists of a central mass…

Classical Physics · Physics 2014-10-08 Alexey S. Titovich , Andrew N. Norris

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 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

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.…

Recent experiments have imposed controlled swelling patterns on thin polymer films, which subsequently buckle into three-dimensional shapes. We develop a solution to the design problem suggested by such systems, namely, if and how one can…

Soft Condensed Matter · Physics 2011-10-13 M. A. Dias , J. A. Hanna , C. D. Santangelo

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
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