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Related papers: Effective behavior of nematic elastomer membranes

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One problem of non-crystalline condensed matter (soft matter) is creating the right equilibrium between elasticity and viscosity, referred to as viscoelasticity. Manifestations of that can be found in everyday live, where the…

Biological Physics · Physics 2015-08-17 Sebastian Jaksch , Olaf Holderer , Michael Ohl , Henrich Frielinghaus

Self-positioned nanomembranes such as rolled-up tubes and wrinkled thin films have been potential systems for a variety of applications and basic studies on elastic properties of nanometer-thick systems. Although there is a clear driving…

Mesoscale and Nanoscale Physics · Physics 2014-07-23 Peter Cendula , Angelo Malachias , Christoph Deneke , Suwit Kiravittaya , Oliver G. Schmidt

We examine the scaling with activity of the emergent length scales that control the nonequilibrium dynamics of an active nematic liquid crystal, using two popular hydrodynamic models that have been employed in previous studies. In both…

Soft Condensed Matter · Physics 2016-09-05 E. J. Hemingway , P. Mishra , M. C. Marchetti , S. M. Fielding

Continuum strain energy functions are developed for soft biological tissues that possess long fibrillar components. The treatment is based on the model of an elastica, which is our fine scale model, and is homogenized in a simple fashion to…

Tissues and Organs · Quantitative Biology 2007-07-28 K. Garikipati , S. Göktepe , C. Miehe

There is now growing evidence of the emergence and biological functionality of liquid crystal features, including nematic order and topological defects, in cellular tissues. However, how such features that intrinsically rely on particle…

Soft Condensed Matter · Physics 2019-02-06 Romain Mueller , Julia Yeomans , Amin Doostmohammadi

For monodomain nematic elastomers, we construct generalised elastic-nematic constitutive models combining purely elastic and neoclassical-type strain-energy densities. Inspired by recent developments in stochastic elasticity, we extend…

Soft Condensed Matter · Physics 2020-03-17 L. Angela Mihai , Alain Goriely

We study the low-frequency, long-wavelength dynamics of soft and semi-soft nematic elastomers using two different but related dynamic theories. Our first formulation describes the pure hydrodynamic behavior of nematic elastomers in which…

Soft Condensed Matter · Physics 2009-11-10 Olaf Stenull , T. C. Lubensky

We show that a viscoelastic thin sheet driven out of equilibrium by active structural remodelling develops a rich variety of shapes as a result of a competition between viscous relaxation and activity. In the regime where active processes…

Soft Condensed Matter · Physics 2020-02-26 D. A. Matoz-Fernandez , Fordyce A. Davidson , Nicola R. Stanley-Wall , Rastko Sknepnek

Liquid crystal elastomers are cross-linked polymer networks covalently bonded with liquid crystal mesogens. In the nematic phase, due to strong coupling between mechanical strain and orientational order, these materials display…

Soft Condensed Matter · Physics 2011-11-04 Badel L. Mbanga , Fangfu Ye , Jonathan V. Selinger , Robin L. B. Selinger

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

We study thin films with residual strain by analyzing the $\Gamma-$limit of non-Euclidean elastic energy functionals as the material's thickness tends to $0.$ We begin by extending prior results \cite{bhattacharya2016plates}…

Analysis of PDEs · Mathematics 2022-04-26 David Padilla-Garza

Topological defects are a ubiquitous phenomenon in diverse physical systems. In nematic liquid crystals (LCs), they are dynamic, physicochemically distinct, sensitive to stimuli, and are thereby promising for a range of applications.…

Soft Condensed Matter · Physics 2023-12-25 Shengzhu Yi , Hao Chen , Xinyu Wang , Miao Jiang , Bo Li , Qi-huo Wei , Rui Zhang

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

The processing of thin-structured materials in a fluidic environment, from nearly inextensible but flexible graphene sheets to highly extensible polymer films, arises in many applications. So far, little is known about the dynamics of such…

Soft Condensed Matter · Physics 2022-02-15 Yijiang Yu , Michael D. Graham

We study the static and dynamic structure of thermally fluctuating elastic thin sheets by investigating the overdamped dynamic F\"oppl-von K\'arm\'an equation, in which the F\"oppl-von K\'arm\'an equation from elasticity theory is driven by…

Soft Condensed Matter · Physics 2023-05-10 Chanania Steinbock , Eytan Katzav

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,…

Soft Condensed Matter · Physics 2017-12-20 Raz Kupferman

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

We use computer simulations and a simple free energy model to study the response of a bilayer membrane to the application of a negative (compressive) mechanical tension. Such a tension destabilizes the long wavelength undulation modes of…

Soft Condensed Matter · Physics 2015-06-24 Yotam Y. Avital , Oded Farago

We determine the linear viscoelastic response of jammed packings of athermal repulsive viscous spheres, a model for emulsions, wet foams, and soft colloidal suspensions. We numerically measure the complex shear modulus, a fundamental…

Soft Condensed Matter · Physics 2012-05-15 Brian P. Tighe

We consider the simplest one-constant model, put forward by J. Ericksen, for nematic liquid crystals with variable degree of orientation. The equilibrium state is described by a director field $\mathbf{n}$ and its degree of orientation $s$,…

Numerical Analysis · Mathematics 2017-08-03 Ricardo H. Nochetto , Shawn W. Walker , Wujun Zhang
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