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We explore the intrinsic dynamics of spherical shells immersed in a fluid in the vicinity of their buckled state, through experiments and 3D axisymmetric simulations. The results are supported by a theoretical model that accurately…

Soft Condensed Matter · Physics 2021-10-04 Marcel Mokbel , Adel Djellouli , Catherine Quilliet , Sebastian Aland , Gwennou Coupier

We study the effect of a magnetic field on the behaviour of a slender conducting elastic structure, motivated by stability problems of electrodynamic space tethers. Both statical (buckling) and dynamical (whirling) instability are…

Dynamical Systems · Mathematics 2008-10-22 J. Valverde , G. H. M. van der Heijden

Grip, walk, crawl, and jump. Soft robots are integrated functional structures composed of compliant mechanisms, whose activity spans various industrial applications such as surgery, healthcare, surveillance, and even planetary exploration.…

We present the results from a numerical investigation using the finite element method to study the buckling strength of near-perfect spherical shells containing a single, localized, Gaussian-dimple defect whose profile is systematically…

Applied Physics · Physics 2024-12-20 Uba K. Ubamanyu , Zheren Baizhikova , Jia-Liang Le , Roberto Ballarini , Pedro M. Reis

Mechanical metamaterials made of flexible building blocks can exhibit a plethora of extreme mechanical responses, such as negative elastic constants, shape-changes, programmability and memory. To date, dissipation has largely remained…

Soft Condensed Matter · Physics 2024-06-12 David M. J. Dykstra , Shahram Janbaz , Corentin Coulais

We investigate the relationship between pre-buckling and post-buckling states as a function of shell properties, within the deflation process of shells of an isotropic material. With an original and low-cost set-up that allows to measure…

Soft Condensed Matter · Physics 2019-10-07 Gwennou Coupier , Adel Djellouli , Catherine Quilliet

A geometrically exact dimensionally reduced order model for the nonlinear deformation of thin magnetoelastic shells is presented. The Kirchhoff-Love assumptions for the mechanical fields are generalised to the magnetic variables to derive a…

Classical Physics · Physics 2023-08-25 Abhishek Ghosh , Andrew McBride , Zhaowei Liu , Luca Heltai , Paul Steinmann , Prashant Saxena

We investigate the effect of defect geometry in dictating the sensitivity of the critical buckling conditions of spherical shells under external pressure loading. Specifically, we perform a comparative study between shells containing…

Soft Condensed Matter · Physics 2023-03-22 Arefeh Abbasi , Fani Derveni , Pedro M. Reis

We report on the buckling and subsequent collapse of orthotropic elastic spherical shells under volume and pressure control. Going far beyond what is known for isotropic shells, a rich morphological phase space with three distinct regimes…

Soft Condensed Matter · Physics 2019-08-02 Gautam Munglani , Falk K. Wittel , Roman Vetter , Filippo Bianchi , Hans J. Herrmann

We investigate the buckling and post-buckling properties of a hyperelastic half-space coated by two hyperelastic layers when the composite structure is subjected to a uniaxial compression. In the case of a half-space coated with a {\it…

Pattern Formation and Solitons · Physics 2021-04-01 Mingtao Zhou , Zongxi Cai , Yibin Fu

Numerical dynamo models always employ parameter values that differ by orders of magnitude from the values expected in natural objects. However, such models have been successful in qualitatively reproducing properties of planetary and…

Solar and Stellar Astrophysics · Physics 2015-06-15 Rakesh K. Yadav , Thomas Gastine , Ulrich R. Christensen , Lúcia D. V. Duarte

Thermal fluctuations strongly modify the large length-scale elastic behavior of crosslinked membranes, giving rise to scale-dependent elastic moduli. While thermal effects in flat membranes are well understood, many natural and artificial…

Soft Condensed Matter · Physics 2013-02-19 Jayson Paulose , Gerard A. Vliegenthart , Gerhard Gompper , David R. Nelson

An analytical model based on variational principles for a thin-walled stiffened plate subjected to axial compression is presented. A system of nonlinear differential and integral equations is derived and solved using numerical continuation.…

Materials Science · Physics 2014-06-10 M. Ahmer Wadee , Maryam Farsi

The response of amorphous materials to an applied strain can be continuous, or instead display a macroscopic stress drop when a shear band nucleates. Such discontinuous response can be observed if the initial configuration is very stable.…

Soft Condensed Matter · Physics 2018-10-17 Marko Popović , Tom W. J. de Geus , Matthieu Wyart

Experimentally measuring the elastic properties of thin biological surfaces is non-trivial, particularly when they are curved. One technique that may be used is the indentation of a thin sheet of material by a rigid indenter, whilst…

Steady progress in the miniaturization of structures and devices has reached a scale where thermal fluctuations become relevant and it is thus important to understand how such fluctuations affect their mechanical stability. Here, we…

Soft Condensed Matter · Physics 2021-02-24 Ali Morshedifard , Miguel Ruiz-Garcia , Mohammad Javad Abdolhosseini Qomi , Andrej Kosmrlj

The fundamental difference between incompressible ideal magnetohydrodynamics and the dynamics of a non-conducting fluid is that magnetic fields exert a tension force that opposes their bending; magnetic fields behave like elastic strings…

High Energy Astrophysical Phenomena · Physics 2020-10-21 D. N. Hosking , A. A. Schekochihin , S. A. Balbus

The goal of this paper is to apply the recently developed theory of buckling of arbitrary slender bodies to a tractable yet non-trivial example of buckling in axially compressed circular cylindrical shells, regarded as three-dimensional…

Analysis of PDEs · Mathematics 2014-05-06 Yury Grabovsky , Davit Harutyunyan

Induced by proteins within the cell membrane or by differential growth, heating, or swelling, spontaneous curvatures can drastically affect the morphology of thin bodies and induce mechanical instabilities. Yet, the interaction of…

Soft Condensed Matter · Physics 2018-01-31 Matteo Pezzulla , Norbert Stoop , Mark P. Steranka , Abdikhalaq J. Bade , Douglas P. Holmes

Oriented block copolymers exhibit a buckling instability when submitted to a tensile test perpendicular to the lamellae direction. In this paper we study this behavior using a coarse grained molecular dynamics simulation approach. Coarse…

Materials Science · Physics 2014-03-05 Ali Makke , Olivier Lame , Michel Perez , Jean-Louis Barrat