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Liquid crystal elastomers are rubbers with liquid crystal order. They contract along their nematic director when heated or illuminated. The shape changes are large and occur in a relatively narrow temperature interval, or at low…

软凝聚态物质 · 物理学 2014-11-04 Milos Knezevic , Mark Warner

Shell buckling is central in many biological structures and advanced functional materials, even if, traditionally, this elastic instability has been regarded as a catastrophic phenomenon to be avoided for engineering structures. Either way,…

软凝聚态物质 · 物理学 2021-05-17 Dong Yan , Matteo Pezzulla , Lilian Cruveiller , Arefeh Abbasi , Pedro M. Reis

The elastic properties and lattice dynamics of Ti$_2$AlC, Ti$_2$AlN, Ti$_2$GaC, Ti$_2$GaN, Ti$_2$PbC, Ti$_2$CdC and Ti$_2$SnC have been investigated using the density functional theory within the generalized gradient approximations as…

材料科学 · 物理学 2020-11-17 G. K. Arusei , M. Chepkoech , G. O. Amolo , N. Wambua

Particle based methods such as the Discrete Element Method and the Lattice Spring Method may be used for describing the behaviour of isotropic linear elastic materials. However, the common bond models employed to describe the interaction…

计算工程、金融与科学 · 计算机科学 2021-07-06 Rahav Gowtham Venkateswaran , Ursula Kowalsky , Dieter Dinkler

Liquid crystalline polymers are materials of considerable scientific interest and technological value to society [1-3]. An important subset of such materials exhibit rubber-like elasticity; these can combine the remarkable optical…

The strain states of the components of pseudomorphic superlattices can be accurately modeled analytically through the application of linear elasticity. In this particular case of GaN/AlN 'free-standing' superlattices, the predictions…

材料科学 · 物理学 2025-10-28 Th. Karakostas , Ph. Komninou , V. Pontikis

In this paper, we investigate the periodic peeling behavior of opposing symmetric peeling fronts involving an elastic tape peeled off from a deformable substrate of finite thickness, backed onto a rigid foundation. We treat the problem by…

软凝聚态物质 · 物理学 2019-11-26 Nicola Menga , Daniele Dini , Giuseppe Carbone

We start from a variational model for nematic elastomers that involves two energies: mechanical and nematic. The first one consists of a nonlinear elastic energy which is influenced by the orientation of the molecules of the nematic…

偏微分方程分析 · 数学 2017-06-30 Carlos Mora-Corral , Marcos Oliva

The present paper studies non-uniform plastic deformations of crystals undergoing anti-plane constrained shear. The asymptotically exact energy density of crystals containing a moderately large density of excess dislocations is found by the…

材料科学 · 物理学 2018-01-17 Khanh Chau Le , Yinguang Piao

Active materials are capable of converting free energy into directional motion, giving rise to striking dynamical phenomena. Developing a general understanding of their structure in relation to the underlying non-equilibrium physics would…

软凝聚态物质 · 物理学 2018-10-17 Nitin Kumar , Rui Zhang , Juan J. de Pablo , Margaret L. Gardel

We consider a one-dimensional variational problem arising in connection with a model for cholesteric liquid crystals. The principal feature of our study is the assumption that the twist deformation of the nematic director incurs much higher…

偏微分方程分析 · 数学 2020-08-12 Dmitry Golovaty , Michael Novack , Peter Sternberg

The sticking of a soft polystyrene colloidal particle to a planar glass plate was studied by a microrheological technique using an optical tweezer to trap the particle and a piezoelectric-stage to position the plate and to sinusoidally…

软凝聚态物质 · 物理学 2009-08-27 Prerna Sharma , Shankar Ghosh , S. Bhattacharya

The interaction of polymers with turbulent shear flows is examined. We focus on the structure of the elastic stress tensor, which is proportional to the polymer conformation tensor. We examine this object in turbulent flows of increasing…

混沌动力学 · 物理学 2007-05-23 Victor S. L'vov , Anna Pomyalov , Itamar Procaccia , Vasil Tiberkevich

We develop a molecular model of non-uniform deformations within the framework of liquid crystal rubber elasticity. We show that, similarly to the uniform case, the theory is not sensitive to the molecular details of polymer liquid crystal…

凝聚态物理 · 物理学 2009-10-28 E. M. Terentjev , M. Warner , G. C. Verwey

In this paper, we revisit asymptotic stability for the two-dimensional incompressible porous media equation and the Stokes transport system in a periodic channel. It is well-known that a stratified density, which strictly decreases in the…

偏微分方程分析 · 数学 2024-04-02 Jaemin Park

We present a numerical study of stretching monodomain smectic-A elastomer sheets, computed using the finite element method. When stretched parallel to the layer normal the microscopic layers in smectic elastomers are unstable to a…

软凝聚态物质 · 物理学 2013-08-06 Andrew W. Brown , James M. Adams

A general procedure to investigate the elastic response and calculate the elastic constants of stressed and unstressed materials through continuum field modeling, particularly the phase field crystal (PFC) models, is presented. It is found…

材料科学 · 物理学 2018-05-09 Zi-Le Wang , Zhi-Feng Huang , Zhirong Liu

We introduce a nonlinear, one-dimensional bending-twisting model for an inextensible bi-rod that is composed of a nematic liquid crystal elastomer. The model combines an elastic energy that is quadratic in curvature and torsion with a…

偏微分方程分析 · 数学 2022-05-31 Sören Bartels , Max Griehl , Jakob Keck , Stefan Neukamm

A robust non-Newtonian fluid model of dilute polyelectrolyte solutions is derived from kinetic theory arguments. Polyelectrolyte molecules are modeled as finitely elongated nonlinear elastic dumbbells, where effective charges (interacting…

软凝聚态物质 · 物理学 2020-06-05 Dmitry Shogin , Per Amund Amundsen

Large deformations of soft elastic beads spinning at high angular velocity in a denser background fluid are investigated theoretically, numerically, and experimentally using millimeter-size polyacrylamide hydrogel particles introduced in a…