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Related papers: Defect-Defect Interactions in the Buckling of Impe…

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We perform a probabilistic investigation on the effect of systematically removing imperfections on the buckling behavior of pressurized thin, elastic, hemispherical shells containing a distribution of defects. We employ finite element…

Soft Condensed Matter · Physics 2024-10-16 Fani Derveni , Florian Choquart , Arefeh Abbasi , Dong Yan , Pedro M. Reis

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

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 buckling of spherical shells is plagued by a strong sensitivity to imperfections. Traditionally, imperfect shells tend to be characterized empirically by the knockdown factor, the ratio between the measured buckling strength and the…

Soft Condensed Matter · Physics 2023-02-22 Fani Derveni , William Gueissaz , Dong Yan , Pedro M. Reis

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

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

Topological defects are crucial to the thermodynamics and structure of condensed matter systems. For instance, when incorporated into crystalline membranes like graphene, disclinations with positive and negative topological charge…

Soft Condensed Matter · Physics 2018-08-29 Isaac R. Bruss , Gregory M. Grason

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

Motivated by recent experiments, we consider theoretically the compression of droplets pinned at the bottom on a surface of finite area. We show that if the droplet is sufficiently compressed at the top by a surface, it will always develop…

Fluid Dynamics · Physics 2017-08-03 Gwynn J. Elfring , Eric Lauga

From soda cans to space rockets, thin-walled cylindrical shells are abundant, offering exceptional load carrying capacity at relatively low weight. However, the actual load at which any shell buckles and collapses is very sensitive to…

Snap-buckling is a rapid shape transition in slender structures, appearing as a fundamental switching mechanism of natural and man-made systems. Boundary conditions of structures are crucial to predict and control their snap-buckling…

Soft Condensed Matter · Physics 2026-01-23 Takara Abe , Tomohiko G. Sano

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

The interaction of an interfacial crack with small impurities is analysed on the basis of an asymptotic formula derived by the authors. The interaction between the main crack and the defects (e.g. small cracks or inclusions) is described…

Mathematical Physics · Physics 2011-05-11 Gennady Mishuris , Alexander Movchan , Natasha Movchan , Andrea Piccolroaz

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

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

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

We study how the stability of spherical crystalline shells under external pressure is influenced by the defect structure. In particular, we compare stability for shells with a minimal set of topologically-required defects to shells with…

Soft Condensed Matter · Physics 2015-03-23 Duanduan Wan , Mark J. Bowick , Rastko Sknepnek

In this work, we consider the stability of a spherical shell under combined loading from a uniform external pressure and a homogenous natural curvature. Non-mechanical stimuli, such as one that tends to modify the rest curvature of an…

Soft Condensed Matter · Physics 2020-08-26 Douglas P. Holmes , Jeong-Ho Lee , Harold S. Park , Matteo Pezzulla

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

In this paper we rigorously investigate the emergence of defects on Nematic Shells with genus different from one. This phenomenon is related to a non trivial interplay between the topology of the shell and the alignment of the director…

Analysis of PDEs · Mathematics 2017-03-17 Giacomo Canevari , Antonio Segatti
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