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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 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…

Analysis of PDEs · Mathematics 2020-08-12 Dmitry Golovaty , Michael Novack , Peter Sternberg

We develop a theory of the effective disorder temperature in glass-forming materials driven away from thermodynamic equilibrium by external forces. Our basic premise is that the slow configurational degrees of freedom of such materials are…

Materials Science · Physics 2015-05-13 Eran Bouchbinder , J. S. Langer

In liquid crystal elastomers, the orientational order of liquid crystals is coupled with elastic distortions of crosslinked polymer networks. Previous theoretical research has described these materials through two different approaches: a…

Soft Condensed Matter · Physics 2018-06-21 Thanh-Son Nguyen , Jonathan V. Selinger

Using a well defined soft model glass in the framework of Molecular Dynamics simulations, the inherent structures are probed by means of a recently developed deformation protocol that aims to capture the Dynamical Heterogeneities (DH), as…

Disordered Systems and Neural Networks · Physics 2013-02-15 F. Leonforte

Nematic liquid crystals in a polyhedral domain, a prototype for bistable displays, may be described by a unit-vector field subject to tangent boundary conditions. Here we consider the case of a rectangular prism. For configurations with…

Mathematical Physics · Physics 2009-11-11 A. Majumdar , J. M. Robbins , M. Zyskin

We model within the framework of finite elasticity two inherent instabilities observed in liquid crystal elastomers under uniaxial tension. First is necking which occurs when a material sample suddenly elongates more in a small region where…

Soft Condensed Matter · Physics 2024-10-15 Rabin Poudel , Yasemin Sengul , L. Angela Mihai

We propose a dynamical theory of low-temperature shear deformation in amorphous solids. Our analysis is based on molecular-dynamics simulations of a two-dimensional, two-component noncrystalline system. These numerical simulations reveal…

Statistical Mechanics · Physics 2009-10-30 M. L. Falk , J. S. Langer

Modeling liquid crystal elastomers (LCEs) at the molecular level is crucial for the predictable design of energy-conversion and stimuli-responsive materials. Here, we develop a self-consistent field theory for LCEs which captures the…

Soft Condensed Matter · Physics 2023-10-05 Luofu Liu , Rui Wang

We aimed to use finite element method to simulate the unique behaviors of liquid crystal elastomer, such as semi-soft elasticity, stripe domain instabilities etc. We started from an energy functional with the 2D Bladon-Warner-Terentjev…

Numerical Analysis · Mathematics 2010-09-10 Chong Luo , Maria-Carme Calderer

We propose a model for nonlinearly elastic membranes undergoing finite deformations while confined to a regular frictionless surface in $\mathbb{R}^3$. This is a physically correct model of the analogy sometimes given to motivate harmonic…

Analysis of PDEs · Mathematics 2024-06-03 Timothy J. Healey , Gokul G. Nair

Wrinkles commonly develop in a thin film deposited on a soft elastomer substrate when the film is subject to compression. Motivated by recent experiments [Agrawal et al., Soft Matter 8, 7138 (2012)] that show how wrinkle morphology can be…

Soft Condensed Matter · Physics 2016-07-06 Harsh Soni , Robert A. Pelcovits , Thomas R. Powers

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…

In this paper, the two-dimensional pure bending of a hyperelastic substrate coated by a nematic liquid crystal elastomer (abbreviated as NLCE) is studied within the framework of nonlinear elasticity. The governing system, arising from the…

Soft Condensed Matter · Physics 2021-06-16 Yang Liu , Wendi Ma , Hui-Hui Dai

Control of physical behaviors of nematic colloids and colloidal crystals has been demonstrated by tuning particle shape, topology, chirality and surface charging. However, the capability of altering physical behaviors of such soft matter…

Soft Condensed Matter · Physics 2021-01-12 Ye Yuan , Patrick Keller , Ivan I. Smalyukh

Precise manipulation of shape-morphing responsive materials is crucial for applications in soft robotics and adaptive structures. While notable precision has been achieved in thin two-dimensional sheets, an accurate volumetric…

Soft Condensed Matter · Physics 2026-05-26 Shachaf Rotem , Hillel Aharoni

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

We demonstrate that two-dimensional crystals made of active particles can experience extremely large spontaneous deformations without melting. Using particles mostly interacting via pairwise repulsive forces, we show that such active…

Soft Condensed Matter · Physics 2023-09-11 Xia-qing Shi , Fu Cheng , Hugues Chaté

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…

Analysis of PDEs · Mathematics 2017-06-30 Carlos Mora-Corral , Marcos Oliva

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