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We consider the axial compression of a thin sheet wrapped around a rigid cylindrical substrate. In contrast to the wrinkling-to-fold transitions exhibited in similar systems, we find that the sheet always buckles into a single symmetric…

软凝聚态物质 · 物理学 2015-07-13 Norbert Stoop , Martin Michael Müller

In a companion article (Part 1), we presented the development of a thick continuum-based (CB) shell finite element (FE) based on Mindlin-Reissner theory. We verified the accuracy, efficiency and locking insensitivity of the element in…

数值分析 · 数学 2018-01-15 Bahareh Momenan , Michel R. Labrosse

Accurate prediction of the force required to puncture a soft material is critical in many fields like medical technology, food processing, and manufacturing. However, such a prediction strongly depends on our understanding of the complex…

软凝聚态物质 · 物理学 2023-08-16 Stefano Fregonese , Zhiyuan Tong , Sibo Wang , Mattia Bacca

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…

软凝聚态物质 · 物理学 2024-10-18 Carmen L. Lee , Kari Dalnoki-Veress

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

We introduce a model of fracture which includes the out-of-plane degrees of freedom necessary to describe buckling in a thin-sheet material. The model is a regular square lattice of elastic beams, rigidly connected at the nodes so as to…

软凝聚态物质 · 物理学 2007-05-23 Bjorn Skjetne , Torbjorn Helle , Alex Hansen

We uncover how nonlinearities dramatically alter the buckling of elastic beams. First, we show experimentally that sufficiently wide ordinary elastic beams and specifically designed metabeams ---beams made from a mechanical metamaterial---…

软凝聚态物质 · 物理学 2015-08-12 Corentin Coulais , Johannes T. B. Overvelde , Luuk A. Lubbers , Katia Bertoldi , Martin van Hecke

Depending on its geometry, a spherical shell may exist in one of two stable states without the application of any external force: there are two `self-equilibrated' states, one natural and the other inside out (or `everted'). Though this is…

软凝聚态物质 · 物理学 2018-05-21 Matteo Taffetani , Xin Jiang , Douglas P. Holmes , Dominic Vella

We study how crack buckling affects stress and strain in a thin sheet with random disorder. The sheet is modeled as an elastic lattice of beams where each of the beams have individual thresholds for breaking. A statistical distribution with…

软凝聚态物质 · 物理学 2007-05-23 Bjorn Skjetne , Torbjorn Helle , Alex Hansen

We derive the effective energy density of thin membranes of liquid crystal elastomers as the Gamma-limit of a widely used bulk model. These membranes can display fine-scale features both due to wrinkling that one expects in thin elastic…

偏微分方程分析 · 数学 2015-09-02 Pierluigi Cesana , Paul Plucinsky , Kaushik Bhattacharya

The study of elastic membranes carrying topological defects has a longstanding history, going back at least to the 1950s. When allowed to buckle in three-dimensional space, membranes with defects can totally relieve their in-plane strain,…

软凝聚态物质 · 物理学 2017-12-20 Raz Kupferman

In this work, we construct an effective continuum model for architected sheets that are composed of bulky tiles connected by slender elastic joints. Due to their mesostructure, these sheets feature quasi-mechanisms -- low-energy local…

材料科学 · 物理学 2022-06-22 Connor McMahan , Andrew Akerson , Paolo Celli , Basile Audoly , Chiara Daraio

Using numerical simulations, we characterized the behavior of an elastic membrane immersed in an active fluid. Our findings reveal a nontrivial folding and re-expansion of the membrane that is controlled by the interplay of its resistance…

软凝聚态物质 · 物理学 2015-07-24 S. A. Mallory , C. Valeriani , A. Cacciuto

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…

软凝聚态物质 · 物理学 2023-02-22 Fani Derveni , William Gueissaz , Dong Yan , Pedro M. Reis

Thin-shell structures, found in biological systems such as beetle carapaces and widely used in aerospace, civil, and mechanical engineering, achieve remarkable strength-to-mass ratio given their slenderness and curved geometries. However,…

应用物理 · 物理学 2025-07-01 Ilyes Krida , Jacob Tang , Daniel Floryan , Tian Chen

We model the elasticity of the cerebral cortex as a layered material with bending energy along the layers and elastic energy between them in both planar and polar geometries. The cortex is also subjected to axons pulling from the underlying…

软凝聚态物质 · 物理学 2016-02-09 O. V. Manyuhina , David Mayett , J. M. Schwarz

We study the effect of a magnetic field on the behaviour of a conducting elastic rod subject to a novel set of boundary conditions that, in the case of a transversely isotropic rod, give rise to exact helical post-buckling solutions. The…

动力系统 · 数学 2015-06-04 J. Valverde , G. H. M. van der Heijden

We use numerical simulations to show how noninteracting hard particles binding to a deformable elastic shell may self-assemble into a variety of linear patterns. This is a result of the nontrivial elastic response to deformations of shells.…

软凝聚态物质 · 物理学 2011-02-25 Andela Šarić , Angelo Cacciuto

Compression-induced buckling instability of metal thin films on a compliant base result in surface wrinkles. A stiff thin film, perfectly bonded to an infinitely deep pre-stretched dielectric elastomer (DE) substrate, is considered. Linear…

计算物理 · 物理学 2021-08-24 Abhishek Ghosh

Ferrogels and magnetoelastomers are composite materials obtained by embedding magnetic particles of mesoscopic size in a crosslinked polymeric matrix. They combine the reversible elastic deformability of polymeric materials with the high…