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Related papers: Advances in Shell Buckling: Theory and Experiments

200 papers

Using the static-dynamic analogy, work at Bath and Bristol has uncovered the vital organizing role of the Maxwell 'energy criterion' load in the advanced post-buckling of long-thin structures which exhibit severe shell-like imperfection…

Dynamical Systems · Mathematics 2015-06-18 J. M. T. Thompson , G. H. M. van der Heijden

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

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

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…

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

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…

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

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

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

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

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

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

Using rigorous constitutive linearization of second variation introduced in [6] we study weak stability of homogeneous deformation of the axially compressed circular cylindrical shell, regarded as a 3-dimensional hyperelastic body. We show…

Analysis of PDEs · Mathematics 2013-01-28 Yury Grabovsky , Davit Harutyunyan

Subcritical transition to turbulence, in which the laminar state is linearly stable yet finite-amplitude perturbations develop into turbulence, is ubiquitous but lacks a simple analytical framework. We demonstrate such a framework using a…

Fluid Dynamics · Physics 2026-03-27 Yoshiki Hiruta

We study the axisymmetric response of a complete spherical shell under homogeneous compressive pressure $p$ to an additional point force. For a pressure $p$ below the classical critical buckling pressure $p_c$, indentation by a point force…

Soft Condensed Matter · Physics 2019-03-06 Lorenz Baumgarten , Jan Kierfeld

A static limit analysis approach is proposed for assessing the collapse capacity of axisymmetric masonry domes subject to horizontal forces. The problem formulation is based on the sound theoretical framework provided by the classical…

Numerical Analysis · Mathematics 2021-06-25 Nicola A. Nodargi , Paolo Bisegna

In this paper we initiate a program of rigorous analytical investigation of the paradoxical buckling behavior of circular cylindrical shells under axial compression. This is done by the development and systematic application of general…

Analysis of PDEs · Mathematics 2015-09-30 Yury Grabovsky , Davit Harutyunyan

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

Rotating the clamped ends of a buckled elastica induces a snap-through instability. Predicting the limit point and determining the equilibria at the start and end of the snap are routine computations in the quasi-static setting. The…

Soft Condensed Matter · Physics 2025-09-29 Chiraprabha Bhattacharyya , Ramsharan Rangarajan

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
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