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We consider nematic liquid crystals in a bounded, convex polyhedron described by a director field n(r) subject to tangent boundary conditions. We derive lower bounds for the one-constant elastic energy in terms of topological invariants.…

数学物理 · 物理学 2009-11-10 A Majumdar , JM Robbins , M Zyskin

We derive the effective energy density of thin membranes of liquid crystal elastomers as the Gamma-limit of a widely used bulk model. These membranes can display fine-scale features both due to wrinkling that one expects in thin elastic…

偏微分方程分析 · 数学 2015-09-02 Pierluigi Cesana , Paul Plucinsky , Kaushik Bhattacharya

Nematic elastomers and glasses deform spontaneously when subjected to temperature changes. This property can be exploited in the design of heterogeneously patterned thin sheets that deform into a non-trivial shape when heated or cooled. In…

软凝聚态物质 · 物理学 2017-10-25 Paul Plucinsky , Marius Lemm , Kaushik Bhattacharya

Flagellated microswimmers B. Subtilis dispersed in a nematic phase of a lyotropic chromonic liquid crystal form a living liquid crystal (LLC). The combination of the passive and active components allows us to analyze how the active…

软凝聚态物质 · 物理学 2025-12-02 Hend Baza , Fei Chen , Taras Turiv , Sergij V. Shiyanovskii , Oleg D. Lavrentovich

Liquid crystal elastomers (LCEs) are elastomeric networks with rod-like mesogens that reorient under load. In polydomain LCEs, this reorientation drives a polydomain-to-monodomain transition that produces a soft-elastic plateau. Coupling…

软凝聚态物质 · 物理学 2026-05-13 Zhengxuan Wei , Beijun Shen , Zumrat Usmanova , Umme Hani Bootwala , Ruobing Bai

We consider a continuum model describing the dynamic behavior of nematic liquid crystal elastomers (LCEs) and implement a numerical scheme to solve the governing equations. In the model, the Helmholtz free energy and Rayleigh dissipation…

材料科学 · 物理学 2015-05-19 Wei Zhu , Michael Shelley , Peter Palffy-Muhoray

Liquid crystal elastomers (LCEs) are rubber-like solids that incorporate nematic mesogens (stiff rod-like molecules) as a part of their polymer chains. In recent years, isotropic-genesis, polydomain liquid crystal elastomers (I-PLCEs) has…

软凝聚态物质 · 物理学 2023-08-09 Victoria Lee , Adeline Wihardja , Kaushik Bhattacharya

Nematic elastomers are programmable soft materials that display large, reversible and predictable deformation under an external stimulus such as a change in temperature or light. While much of the work in the field has focused on actuation…

软凝聚态物质 · 物理学 2021-04-07 Victoria Lee , Kaushik Bhattacharya

An elastic anomaly, observed in the heavy Fermi liquid state of Ce alloys (for example, CeCu_6 and CeTe), is analyzed by using the infinite-U Anderson lattice model. Four atomic energy levels are assumed for f-electrons. Two of them are…

凝聚态物理 · 物理学 2007-05-23 Kikuo Harigaya , G. A. Gehring

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

The TDCB test is an established method to determine the critical strain energy release rate of adhesives in mode I. Provided that the adherends stay elastic, that the adhesive layer is not too flexible and that inertia effects can be…

材料科学 · 物理学 2016-03-15 Olaf Hesebeck , Udo Meyer , Andrea Sondag , Markus Brede

Recent studies of azo-dye doped liquid crystal elastomers show a strong photomechanical response. We report on models that predict experimental results that suggest photothermal heating is the dominant mechanism in a planar constrained…

We analyze the phase behavior of lyotropic nematic liquid crystals in the self-organizing flow, viz. so called active nematics (AN). Their elastic properties are mutually caused by evolution of topological defects (for instance,…

软凝聚态物质 · 物理学 2018-02-20 L. V. Elnikova

Photoactive nematic elastomers are soft rubbery solids that undergo deformation when illuminated. They are made by incorporating photoactive molecules like azobenzene into nematic liquid crystal elastomers. Since its initial demonstration…

软凝聚态物质 · 物理学 2020-11-03 Ruobing Bai , Kaushik Bhattacharya

When a nematic liquid crystal (LC) is confined on a self-closing spherical shell, topological constraints arise with intriguing consequences that depend critically on how the LC is aligned in the shell. We demonstrate reversible dynamic…

软凝聚态物质 · 物理学 2020-06-02 JungHyun Noh , Yiwei Wang , Hsin-Ling Liang , Venkata Subba , Rao Jampani , Apala Majumdar , Jan P. F. Lagerwall

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…

偏微分方程分析 · 数学 2022-03-09 Sören Bartels , Max Griehl , Stefan Neukamm , David Padilla-Garza , Christian Palus

We study the phase behavior of a nematic liquid crystal confined between a flat substrate with strong anchoring and a patterned substrate whose structure and local anchoring strength we vary. By first evaluating an effective surface free…

软凝聚态物质 · 物理学 2009-11-13 L. Harnau , S. Kondrat , A. Poniewierski

Soft-elasticity in monodomain liquid crystal elastomers (LCEs) is promising for impact-absorbing applications where strain energy is ideally absorbed at constant stress. Conventionally, compressive and impact studies on LCEs have not been…

When quickly detaching an elastomer from a counterface, viscoelasticity dramatically increases the perceived adhesion relative to its adiabatic or equilibrium value. Here, we report simulations on the sticking contact between a rigid…

软凝聚态物质 · 物理学 2022-05-04 Martin H. Müser , Bo N. J. Persson

Using dynamic light scattering, we measure for the first time the temperature-dependent elastic moduli and associated orientational viscosity coefficients of the nematic phase in a self-assembled lyotropic chromonic liquid crystal. The bend…

软凝聚态物质 · 物理学 2008-07-18 Yu. A. Nastishin , K. Neupane , A. R. Baldwin , O. D. Lavrentovich , S. Sprunt