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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

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 perform finite element simulations to study the impact of defect-defect interactions on the pressure-induced buckling of thin, elastic, spherical shells containing two dimpled imperfections. Throughout, we quantify the critical buckling…

Soft Condensed Matter · Physics 2023-05-25 Fani Derveni , Arefeh Abbasi , Pedro M. Reis

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

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

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

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…

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

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

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

Characterizing the softness of deformable materials having partial elastic and partial viscous behaviour via soft lubrication experiments has emerged as a versatile and robust methodology in recent times. However, a straightforward…

Soft Condensed Matter · Physics 2021-07-22 Pratyaksh Karan , Jeevanjyoti Chakraborty , Suman Chakraborty

While determining the stability of an unconstrained elastic structure is a straightforward task, this is not the case for viscoelastic structures. Seemingly elastically stable conformations of viscoelastic structures may gradually creep…

Soft Condensed Matter · Physics 2017-11-28 Erez Y. Urbach , Efi Efrati

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

In a recent contribution, Shrimali and Lopez-Pamies (2023) have shown that the Griffith criticality condition that governs crack growth in viscoelastic elastomers can be reduced -- from its ordinary form involving a historically elusive…

Materials Science · Physics 2023-01-26 Bhavesh Shrimali , Oscar Lopez-Pamies

We determine the linear viscoelastic response of jammed packings of athermal repulsive viscous spheres, a model for emulsions, wet foams, and soft colloidal suspensions. We numerically measure the complex shear modulus, a fundamental…

Soft Condensed Matter · Physics 2012-05-15 Brian P. Tighe

We study the creep rupture of bundles of viscoelastic fibers occurring under uniaxial constant tensile loading. A novel fiber bundle model is introduced which combines the viscoelastic constitutive behaviour and the strain controlled…

Statistical Mechanics · Physics 2019-05-15 Raul Cruz Hidalgo , Ferenc Kun , Hans. J. Herrmann

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

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

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
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