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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 present a numerical study of the shape taken by a spherical elastic surface when the volume it encloses is decreased. For the range of 2D parameters where such surface may modelize a thin shell of an isotropic elastic material, the mode…

Soft Condensed Matter · Physics 2012-05-31 Catherine Quilliet

Gels are used to design bilayered structures with high residual stresses. The swelling of a thin layer on a compliant substrate leads to compressive stresses. The post-buckling of this layer is investigated experimentally; the wavelengths…

Soft Condensed Matter · Physics 2015-06-25 Eric Sultan , Arezki Boudaoud

A thin flat rectangular plate supported on its edges and subjected to in-plane loading exhibits stable post-buckling behaviour. However, the introduction of a nonlinear (softening) elastic foundation may cause the response to become…

Pattern Formation and Solitons · Physics 2016-03-18 M. Khurram Wadee , David J. B. Lloyd , Andrew P. Bassom

The buckling behavior of cylindrical shells has gained significant interest over the past century due to its rich nonlinear behavior and broad engineering applications. While the buckling of cylindrical shells under a single load (e.g.,…

Pattern Formation and Solitons · Physics 2025-04-01 Lu Lu , Sophie Leanza , Yang Liu , Ruike Renee Zhao

From cell development to space rockets, the mechanical stability of thin shells is crucial across many industrial and natural processes. However, predicting shells' failure properties remains an open challenge, owing to their sensitivity to…

Hollow microgels are elastic polymer shells easily realizable in experiments. Recent works have shown the emergence of buckling events in dilute hollow microgels under the effect of an added osmotic pressure. Here, we perform large-scale…

Soft Condensed Matter · Physics 2026-01-19 Leah Rank , Emanuela Zaccarelli

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

We performed dynamic pressure buckling experiments on defect-seeded spherical shells made of a common silicone elastomer. Unlike in quasi-static experiments, shells buckled at ostensibly subcritical pressures (i.e. below the…

Soft Condensed Matter · Physics 2021-10-04 Lucia Stein-Montalvo , Douglas P. Holmes , Gwennou Coupier

This paper addresses testing of compressed structures, such as shells, that exhibit catastrophic buckling and notorious imperfection sensitivity. The central concept is the probing of a loaded structural specimen by a controlled lateral…

Soft Condensed Matter · Physics 2018-02-14 J. Michael T. Thompson , John W. Hutchinson , Jan Sieber

The patterns arising from the differential swelling of gels are investigated experimentally and theoretically as a model for the differential growth of living tissues. Two geometries are considered: a thin strip of soft gel clamped to a…

Soft Condensed Matter · Physics 2009-11-11 Thierry Mora , Arezki Boudaoud

Dynamic buckling is addressed for complete elastic spherical shells subject to a rapidly applied step in external pressure. Insights from the perspective of nonlinear dynamics reveal essential mathematical features of the buckling…

Soft Condensed Matter · Physics 2019-02-07 Jan Sieber John W. Hutchinson , J. Michael T. Thompson

The critical buckling characteristics of hydrostatically pressurized complete spherical shells filled with an elastic medium are demonstrated. A model based on small deflection thin shell theory, the equations of which are solved in…

Soft Condensed Matter · Physics 2011-03-14 Motohiro Sato , M. Ahmer Wadee , Kohtaroh Iiboshi , Takafumi Sekizawa , Hiroyuki Shima

Minimal energy shapes of closed, elastic shells with twelve pentagonal disclinations introduced in otherwise hexagonally coordinated crystalline lattice are studied. The geometry and the total energy of shells are studied as a function of…

Biological Physics · Physics 2007-05-23 Antonio Siber

Elastic properties and internal states of isotropic sphere packings are studied by numerical simulations. Several numerical protocols to assemble dense configurations are compared. One, which imitates experiments with lubricated contacts,…

Materials Science · Physics 2009-01-16 Ivana Agnolin , Jean-Noël Roux

We investigate buckling of soft elastic capsules under negative pressure or for reduced capsule volume. Based on nonlinear shell theory and the assumption of a hyperelastic capsule membrane, shape equations for axisymmetric and initially…

Soft Condensed Matter · Physics 2011-12-01 Sebastian Knoche , Jan Kierfeld

Under increasing compression, an unbuckled shell is in a metastable state which becomes increasingly precarious as the buckling load is approached. So to induce premature buckling a lateral disturbance will have to overcome a decreasing…

Soft Condensed Matter · Physics 2016-03-23 J. Michael T. Thompson , Jan Sieber

The influence of initial shape imperfections on the post-buckling and translational behavior of encapsulated microbubbles is investigated subject to acoustic excitation in an unbounded flow. Bifurcation analysis reveals that imperfections…

Fluid Dynamics · Physics 2025-08-26 Maria Vlachomitrou , Georges Chabouh , Alkmini Lytra , Nikos Pelekasis

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

A slender object undergoing an axial compression will buckle to alleviate the stress. Typically the morphology of the deformed object depends on the bending stiffness for solids, or the viscoelastic properties for liquid threads. We study a…

Soft Condensed Matter · Physics 2024-10-18 Carmen L. Lee , Kari Dalnoki-Veress
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