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We investigate the finite bending and the associated bending instability of an incompressible dielectric slab subject to a combination of applied voltage and axial compression, using nonlinear electro-elasticity theory and its incremental…

Soft Condensed Matter · Physics 2018-10-04 Yipin Su , Bin Wu , Weiqiu Chen , Michel Destrade

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…

Soft Condensed Matter · Physics 2020-12-08 Yipin Su , Ray W. Ogden , Michel Destrade

A dielectric elastomer whose edges are held fixed will buckle, given sufficient applied voltage, resulting in a nontrivial out-of-plane deformation. We study this situation numerically using a nonlinear elastic model which decouples two of…

Applied Physics · Physics 2018-02-12 Jacob Langham , Hadrien Bense , Dwight Barkley

In this paper, we study an elastic bilayer plate composed of a nematic liquid crystal elastomer in the top layer and a nonlinearly elastic material in the bottom layer. While the bottom layer is assumed to be stress-free in the flat…

Analysis of PDEs · Mathematics 2022-03-09 Sören Bartels , Max Griehl , Stefan Neukamm , David Padilla-Garza , Christian Palus

Designing smart devices with tunable shapes has important applications in industrial manufacture. In this paper, we investigate the nonlinear deformation and the morphological transitions between buckling, necking, and snap-through…

Soft Condensed Matter · Physics 2023-11-28 Yipin Su , Davide Riccobelli , Yingjie Chen , Weiqiu Chen , Pasquale Ciarletta

The buckling of elastic bodies is a common phenomenon in the mechanics of solids. Wrinkling of membranes can often be interpreted as buckling under constraints that prohibit large amplitude deformation. We present a combination of analytic…

Soft Condensed Matter · Physics 2007-05-23 A. Concha , J. W. McIver , P. Mellado , D. Clarke , O. Tchernyshyov , R. L. Leheny

The elastic properties of a self-assembled bilayer membrane are studied using the self-consistent field theory, applied to a model system composed of flexible amphiphilic chains dissolved in hydrophilic polymeric solvents. Examining the…

Biological Physics · Physics 2013-07-19 Jianfeng Li , Kyle A. Pastor , An-Chang Shi , Friederike Schmid , Jiajia Zhou

Active control of wrinkling in soft film-substrate composites using electric fields is a critical challenge in tunable material systems. Here, we investigate the electro-mechanical instability of a soft dielectric film bonded to a…

Soft Condensed Matter · Physics 2026-04-14 Bin Wu , Linghao Kong , Weiqiu Chen , Davide Riccobelli , Michel Destrade

We derived free energy functional of a bilayer lipid membrane from the first principles of elasticity theory. The model explicitly includes position-dependent mutual slide of monolayers and bending deformation. Our free energy functional of…

Soft Condensed Matter · Physics 2009-11-10 S. V. Baoukina , S. I. Mukhin

The process of self-morphing in curved surfaces found in nature, such as with the growth of flowers and leaves, has generated interest in the study of self-morphing bilayers, which has been used in many soft robots or switchers. However,…

Numerical Analysis · Mathematics 2023-09-19 Junjie Song , Yixiong Feng , Zhaoxi Hong , Bingtao Hu , Jianrong Tan , Xiuju Song

Inter-twisted bilayers of two-dimensional (2D) materials can host low-energy flat bands, which offer opportunity to investigate many intriguing physics associated with strong electron correlations. In the existing systems, ultra-flat bands…

Computational Physics · Physics 2022-03-01 Shengdan Tao , Xuanlin Zhang , Jiaojiao Zhu , Pimo He , Shengyuan A. Yang , Yunhao Lu , Su-Huai Wei

We present a simple discrete formula for the elastic energy of a bilayer. The formula is convenient for rapidly computing equilibrium configurations of actuated bilayers of general initial shapes. We use maps of principal curvatures and…

Soft Condensed Matter · Physics 2011-10-06 Silas Alben

We show that a smooth giant voltage actuation of soft dielectric plates is not easily obtained in practice. In principle one can exploit, through pre-deformation, the snap-through behavior of their loading curve to deliver a large stretch…

Soft Condensed Matter · Physics 2018-08-01 Yipin Su , Hannah Conroy Broderick , Weiqiu Chen , Michel Destrade

We investigate the geometrically nonlinear deformation and buckling of a slender elastic beam subject to time-dependent `fictitious' (non-inertial) forces arising from unsteady rotation. Using a rotary apparatus that accurately imposes an…

Soft Condensed Matter · Physics 2023-09-01 Eduardo Gutierrez-Prieto , Michael Gomez , Pedro M. Reis

The influence of an electric field on a poorly conductive membrane such as a lipid bilayer is studied theoretically. The unbalanced electric stress created by an ionic current across a non-perfectly flat membrane gives rise to a…

Soft Condensed Matter · Physics 2009-11-07 Pierre Sens , Hervé Isambert

The physics of membranes, a classic subject, acquires new momentum from two-dimensional (2D) materials multilayers. This work reports the surprising results emerged during a theoretical study of equilibrium geometry of bilayers as…

Mesoscale and Nanoscale Physics · Physics 2024-12-03 Jin Wang , Erio Tosatti

Bilayers, soft substrates coated with stiff films, are commonly found in nature with examples including skin tissue, vesicles, and organ membranes. They exhibit different types of instabilities when subjected to compression, depending on…

Bilayer lipid membranes [BLMs] are an essential component of all biological systems, forming a functional barrier for cells and organelles from the surrounding environment. The lipid molecules that form membranes contain both permanent and…

Biological Physics · Physics 2015-03-17 Richard J. Bingham , Peter D. Olmsted , Stephen W. Smye

The electrostatic contribution to spontaneous membrane curvature is calculated within Poisson-Boltzmann theory under a variety of assumptions and emphasizing parameters in the physiological range. Asymmetric surface charges, either fixed…

Condensed Matter · Physics 2009-10-28 Tom Chou , Marko V. Jaric' , Eric D. Siggia

We consider a disk-shaped thin elastic sheet bonded to a compliant sphere. (Our sheet can slip along the sphere; the bonding controls only its normal displacement.) If the bonding is stiff (but not too stiff), the geometry of the sphere…

Analysis of PDEs · Mathematics 2017-04-12 Peter Bella , Robert V. Kohn
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