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Coupled magneto-mechanical wrinkling has appeared in many scenarios of engineering and biology. Hence, soft magneto-active (SMA) plates buckle when subject to critical uniform magnetic field normal to their wide surface. Here, we provide a…

软凝聚态物质 · 物理学 2021-07-26 Bin Wu , Michel Destrade

We use optical trapping to continuously bend an isolated microtubule while simultaneously measuring the applied force and the resulting filament strain, thus allowing us to determine its elastic properties over a wide range of applied…

When stretched uniaxially, a thin elastic sheet may exhibit buckling. The occurrence of buckling depends on the geometrical properties of the sheet and the magnitude of the applied strain. Here we show that an elastomeric sheet initially…

软凝聚态物质 · 物理学 2013-11-25 Alessandro Lucantonio , Matthieu Roché , Paola Nardinocchi , Howard A. Stone

This work focuses on the stability analysis of an Euler Bernoulli cantilever beam with a tip mass at the free end, subject to a follower force. This can serve as a viable model for analysis of elastic instability occurring due to…

经典物理 · 物理学 2023-11-20 Premjit Saha , Tarunraj Singh

We study slender, helical elastic rods subject to distributed forces and moments. Focussing on the case when the helix axis remains straight, we employ the method of multiple scales to systematically derive an 'equivalent-rod' theory from…

软凝聚态物质 · 物理学 2024-11-14 Michael Gomez , Eric Lauga

The modelling of heterogeneous and architected materials poses a significant challenge, demanding advanced homogenisation techniques. However, the complexity of this task can be considerably simplified through the application of micropolar…

软凝聚态物质 · 物理学 2024-02-27 Adrianos E. F. Athanasiadis , Michal K. Budzik , Dilum Fernando , Marcelo A. Dias

When a thin elastic sheet is confined to a region much smaller than its size the morphology of the resulting crumpled membrane is a network of straight ridges or folds that meet at sharp vertices. A virial theorem predicts the ratio of the…

凝聚态物理 · 物理学 2009-10-28 Alexander E. Lobkovsky , T. A. Witten

Buckling strength estimation of architected materials has mainly been restricted to load cases oriented along symmetry axes. However, realistic load scenarios normally exhibit more general stress distributions. In this paper we propose a…

应用物理 · 物理学 2021-05-14 Morten N. Andersen , Yiqiang Wang , Fengwen Wang , Ole Sigmund

To reduce the stress concentration and ensure the structural safety for lattice structure designs, in this paper, a new optimization framework is developed for the optimal design of graded lattice structures, innovatively integrating fillet…

介观与纳米尺度物理 · 物理学 2021-03-08 Xiaoyang Wang , Lei Zhu , Liao Sun , Nan Li

A homogeneous elastic solid, bounded by a flat surface in its unstressed configuration, undergoes a finite strain when in frictionless contact against a rigid and rectilinear constraint, ending with a rounded or sharp corner, in a…

软凝聚态物质 · 物理学 2024-05-21 Francesco Dal Corso , Marco Amato , Davide Bigoni

We consider non-stationary localized oscillations of an infinite Bernoulli-Euler beam. The beam lies on the Winkler foundation with a point inhomogeneity (a concentrated spring with negative time-varying stiffness). In such a system with…

经典物理 · 物理学 2018-10-26 E. V. Shishkina , S. N. Gavrilov , Yu. A. Mochalova

The linear stability of rectilinear compressible vortex sheets is studied for two-dimensional isentropic elastic flows. This problem has a free boundary and the boundary is characteristic. A necessary and sufficient condition is obtained…

偏微分方程分析 · 数学 2015-09-10 Robin Ming Chen , Jilong Hu , Dehua Wang

In the experiments on stress-induced phase transitions in SMA strips, several interesting instability phenomena have been observed, including a necking-type instability, a shear-type instability and an orientation instability. By using the…

经典物理 · 物理学 2009-10-15 Hui-Hui Dai , Zongxi Cai

We report on a simulational study of the compression and buckling of elastic ridges formed by joining the boundary of a flat sheet to itself. Such ridges store energy anomalously: their resting energy scales as the linear size of the sheet…

凝聚态物理 · 物理学 2009-11-07 B. A. DiDonna , T. A. Witten

Leaves and flowers frequently have a characteristic rippling pattern at their edges. Recent experiments found similar patterns in torn plastic. These patterns can be reproduced by imposing metrics upon thin sheets. The goal of this paper is…

软凝聚态物质 · 物理学 2022-10-12 M. Marder

Viscous flows within an elastic structure apply stress on the solid-liquid interface. The stress-field created by the viscous flow can be utilized to counter stress created by external forces and thus may be applied as a tool for delaying…

软凝聚态物质 · 物理学 2015-02-11 Max Linshits , Amir D. Gat

Steady-state response of an isolated horizontal axis wind turbine blade undergoing out-of-plane and in-plane vibrations are studied considering the two cases separately. Equations of motion for both cases are sought by modeling the blade as…

流体动力学 · 物理学 2020-02-21 Yash Talwekar , Aswan Abdul Razak , Amol Marathe

Molecular dynamics simulations are performed to investigate the buckling of single-layer MoS2 under uniaxial compression. The strain rate is found to play an important role on the critical buckling strain, where higher strain rate leads to…

材料科学 · 物理学 2015-04-14 Jin-Wu Jiang

The properties of a hinged floating elastic sheet of finite length under compression are considered. Numerical continuation is used to compute spatially localized buckled states with many spatially localized folds. Both symmetric and…

斑图形成与孤子 · 物理学 2019-04-24 Leonardo Gordillo , Edgar Knobloch

Because of Euler buckling, a simple strut of length $L$ and Young modulus $Y$ requires a volume of material proportional to $L^3 f^{1/2}$ in order to support a compressive force $F$, where $f=F/YL^2$ and $f\ll 1$. By taking into account…

经典物理 · 物理学 2010-01-21 R. S. Farr