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Numerically simulating deformations in thin elastic sheets is a challenging problem in computational mechanics due to destabilizing compressive stresses that result in wrinkling. Determining the location, structure, and evolution of…

材料科学 · 物理学 2014-11-26 Michael Taylor , Benny Davidovitch , Zhanlong Qiu , Katia Bertoldi

We consider the equilibrium shapes of a thin, annular strip cut out in an elastic sheet. When a central fold is formed by creasing beyond the elastic limit, the strip has been observed to buckle out-of-plane. Starting from the theory of…

软凝聚态物质 · 物理学 2014-03-11 Marcelo A. Dias , Basile Audoly

A layer of dielectric elastomer can be voltage actuated to behave as actuators, but needs to avoid the electromechanical instability of excessively thin down accompanied with electric breakdown. We develop a true method to analyze the…

软凝聚态物质 · 物理学 2016-06-22 Fengxian Xin , Tian Jian Lu

The current state of the art for analytical and computational modelling of deformation in nonlinear electroelastic and magnetoelastic membranes is reviewed. A general framework and a list of methods to model large deformation and associated…

经典物理 · 物理学 2021-04-15 Prashant Saxena

A rectangular plate of dielectric elastomer exhibiting gradients of material properties through its thickness will deform inhomogeneously when a potential difference is applied to compliant electrodes on its major surfaces, because each…

软凝聚态物质 · 物理学 2020-12-08 Yipin Su , Ray W. Ogden , Michel Destrade

We examine the stability of a soft dielectric plate deformed by the coupled effects of a mechanical pre-stress applied on its lateral faces and an electric field applied through its thickness under charge control. The electric field is…

软凝聚态物质 · 物理学 2020-03-17 Hannah Conroy Broderick , Michele Righi , Michel Destrade , Ray W. Ogden

Recent experiments have exploited elastic instabilities in membranes to create complex patterns. However, the rational design of such structures poses many challenges, as they are products of nonlinear elastic behavior. We pose a simple…

软凝聚态物质 · 物理学 2009-08-13 Elisabetta A. Matsumoto , Randall D. Kamien

Dielectric elastomers have significant potential for new technologies ranging from soft robots to biomedical devices, driven by their ability to display complex shape changes in response to electrical stimulus. However, an important…

软凝聚态物质 · 物理学 2025-01-09 Daniel Katusele , Carmel Majidi , Pradeep Sharma , Kaushik Dayal

Deformations of heavy elastic cylinders with their axis in the direction of earth's gravity field are investigated. The specimens, made of polyacrylamide hydrogels, are attached from their top circular cross section to a rigid plate. An…

软凝聚态物质 · 物理学 2019-06-10 Serge Mora , Edward Ando , Jean-Marc Fromental , Ty Phou , Yves Pomeau

Several experiments have demonstrated the existence of an electro-mechanical effect in many biological tissues and hydrogels, and its actual influence on growth, migration, and pattern formation. Here, to model these interactions and…

软凝聚态物质 · 物理学 2020-07-07 Yangkun Du , Yipin Su , Chaofeng Lu , Weiqiu Chen , Michel Destrade

Extra-large deformations in ultra-soft elastic materials are ubiquitous, yet systematic studies and methods to understand the mechanics of such huge strains are lacking. Here we investigate this complex problem systematically with a simple…

材料科学 · 物理学 2017-01-04 Aditi Chakrabarti , Manoj K. Chaudhury , Serge Mora , Yves Pomeau

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

This paper develops the equilibrium equations describing the flexoelectric effect in soft dielectrics under large deformations. Previous works have developed related theories using a flexoelectric coupling tensor of mixed material-spatial…

计算物理 · 物理学 2020-12-02 David Codony , Prakhar Gupta , Onofre Marco , Irene Arias

We study the deformations of elastic filaments confined within slowly-shrinking circular boundaries, under contact forces with friction. We perform computations with a spring-lattice model that deforms like a thin inextensible filament of…

软凝聚态物质 · 物理学 2022-02-23 Silas Alben

Thin sheets that are forced at their boundaries develop a variety of shapes aimed at minimising elastic energy by curving spontaneously in ways that break the symmetry of the sheet and the forcing. Characterising such buckling generally…

软凝聚态物质 · 物理学 2019-05-22 Anshuman S. Pal

The nonlinear mechanics of a flexible elastic rod constrained at its edges by a pair of sliding sleeves is analyzed. The planar equilibrium configurations of this variable-length elastica are found to have shape defined only by the…

软凝聚态物质 · 物理学 2024-09-19 Alessandro Cazzolli , Francesco Dal Corso

Slender elastic objects such as a column tend to buckle under loads. While static buckling is well understood as a bifurcation problem, the evolution of shapes during dynamic buckling is much harder to study. Elastic rings under normal…

软凝聚态物质 · 物理学 2020-05-14 Ousmane Kodio , Alain Goriely , Dominic Vella

A thin flat rectangular plate supported on its edges and subjected to in-plane loading exhibits stable post-buckling behaviour. However, the introduction of a nonlinear (softening) elastic foundation may cause the response to become…

斑图形成与孤子 · 物理学 2016-03-18 M. Khurram Wadee , David J. B. Lloyd , Andrew P. Bassom

The stability and axisymmetric deformation of two immiscible, viscous, perfect or leaky dielectric fluids confined in the annulus between two concentric cylinders are studied in the presence of radial electric fields. The fields are set up…

流体动力学 · 物理学 2020-07-08 Qiming Wang , Demetrios T. Papageorgiou

Nonlinear elastic responses of short and stiff polyelectrolytes are investigated by dynamic simulations on a single molecule level. When a polyelectrolyte condensate undergoes a mechanical unfolding, two types of force-extension curves,…

软凝聚态物质 · 物理学 2009-11-10 Hirofumi Wada , Yoshihiro Murayama , Masaki Sano