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Mechanical instability in a pre-tensioned finite hyperelastic tube subjected to a slowly increasing internal pressure produces a spatially localized bulge at a critical pressure. The subsequent fate of the bulge, under continued inflation,…

医学物理 · 物理学 2021-01-28 Masoud Hejazi , York Hsiang , A. Srikantha Phani

Previous linear bifurcation analyses have evidenced that an axially stretched soft cylindrical tube may develop an infinite-wavelength (localised) instability when one or both of its lateral surfaces are under sufficient surface tension.…

斑图形成与孤子 · 物理学 2021-11-17 Dominic Emery , Yibin Fu

We investigate localised bulging or necking in an incompressible, hyperelastic cylindrical tube under axial stretching and surface tension. Three cases are considered in which the tube is subjected to different constraints. In case 1 the…

软凝聚态物质 · 物理学 2021-02-16 Dominic Emery , Yibin Fu

Localized pattern formations and "two-phase" deformations are studied theoretically in soft compressible cylinders subject to surface tension and axial loading through several force-controlled loading scenarios. By drawing upon known…

斑图形成与孤子 · 物理学 2022-11-23 Dominic Emery

We provide an extension to previous analysis of the localised beading instability of soft slender tubes under surface tension and axial stretching. The primary questions pondered here are: under what loading conditions, if any, can…

软凝聚态物质 · 物理学 2021-01-13 Dominic Emery , Yibin Fu

We provide an analytic derivation of the bifurcation conditions for localized bulging in an inflated hyperelastic tube of arbitrary wall thickness and axisymmetric necking in a hyperelastic sheet under equibiaxial stretching. It has…

生物物理 · 物理学 2022-05-18 Xiang Yu , Yibin Fu

We evaluate the loss of stability of axially compressed slender and thick-walled tubes subject to a residual stress distribution. The nonlinear theory of elasticity, when used to analyze the underlying deformation, shows that the residual…

软凝聚态物质 · 物理学 2025-05-13 Tao Zhang , Luis Dorfmann , Yang Liu

We study the initiation and evolution of aneurysmal morphology in a pressurized soft tube where the elastic modulus is non-uniform in the radial direction. The primary deformation prior to instability is characterized within the framework…

软凝聚态物质 · 物理学 2022-01-27 Yang Liu , Liu Yang , Yu-Xin Xie

Take a drinking straw and bend it from its ends. After sufficient bending, the tube buckles forming a kink, where the curvature is localized in a very small area. This instability, known generally as the Brazier effect, is inherent to…

软凝聚态物质 · 物理学 2024-04-11 Cesar L. Pastrana , Luyi Qiu , John W. Hutchinson , Ariel Amir , Ulrich Gerland

Wrinkling of an inextensible elastic lining of an inner-lined tube under imposed pressure is considered. A simple equation modeling the elastic properties of the lining, the pressure, and the soft-substrate forces is derived. This equation…

软凝聚态物质 · 物理学 2022-01-20 Benjamin Foster , Nicolás Verschueren , Edgar Knobloch , Leonardo Gordillo

A block of rubber eventually buckles under severe flexure, and several axial wrinkles appear on the inner curved face of the bent block. Experimental measurements reveal that the buckling occurs earlier ---at lower compressive strains---…

软凝聚态物质 · 物理学 2013-01-24 Michel Destrade , Michael D. Gilchrist , Julie A. Motherway , Jerry G. Murphy

In confined systems, the entrapment of a gas volume with an equivalent spherical diameter greater than the dimension of the channel can form extended bubbles that obstruct fluid circuits and compromise performance. Notably, in sealed…

We report the results of three-dimensional direct numerical simulations for incompressible viscous fluid in a circular pipe flow with a sudden expansion. At the inlet, a parabolic velocity profile is applied together with a finite amplitude…

流体动力学 · 物理学 2019-01-08 Kamal Selvam , Jorge Peixinho , Ashley P. Willis

We perform traction experiments on viscous liquids highly confined between parallel plates, a geometry known as the probe-tack test in the adhesion community. Direct observation during the experiment coupled to force measurement shows the…

软凝聚态物质 · 物理学 2016-08-16 Jérémie Teisseire , F. Nallet , P. Fabre , Cyprien Gay

We investigate the buckling of hollow cylindrical tubes subject to their own weight and internal pressure, inspired by the columnar cells of the palisade mesophyll in dicotyledon leaves which resemble pressurized cylindrical tubes. When the…

We derive a one-dimensional (1d) model for the analysis of bulging or necking in an inflated hyperelastic tube of {\it finite wall thickness} from the three-dimensional finite elasticity theory by applying the dimension reduction…

软凝聚态物质 · 物理学 2025-11-21 Xiang Yu , Yibin Fu

Bringing a rigid object into contact with a soft elastic tube causes the tube to conform to the surface of the object, resulting in contact lines. The curvature of the tube walls near these contact lines is often large and is typically…

软凝聚态物质 · 物理学 2019-10-23 Bhargav Rallabandi , Joel Marthelot , P. -T. Brun , Jens Eggers

We study the buckling of a one fiber composite whose matrix stiffness is slightly dependent on the compressive force. We show that the equilibrium curves of the system exhibit a limit load when the induced stiffness parameter gets bigger…

软凝聚态物质 · 物理学 2021-01-29 Romain Lagrange

The buckling of hyperelastic incompressible cylindrical tubes of arbitrary length and thickness under compressive axial load is considered within the framework of nonlinear elasticity. Analytical and numerical methods for bifurcation are…

可精确求解与可积系统 · 物理学 2008-12-09 Alain Goriely , Rebecca Vandiver , Michel Destrade

We present a study on swelling-induced circumferential buckling of tubular shaped gels. Inhomogeneous stress develops as gel swells under mechanical constraints, which gives rise to spontaneous buckling instability without external force.…

软凝聚态物质 · 物理学 2015-06-04 Howon Lee , Jiaping Zhang , Hanqing Jiang , Nicholas X. Fang
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