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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

Liquid Crystalline Elastomers (LCEs) are active materials that are of interest due to their programmable response to various external stimuli such as light and heat. When exposed to these stimuli, the anisotropy in the response of the…

Soft Condensed Matter · Physics 2023-10-24 Kevin LoGrande , M. Ravi Shankar , Kaushik Dayal

Stimuli-responsive liquid crystal elastomers (LCEs) with a strong coupling of orientational molecular order and rubber-like elasticity, show a great potential as working elements in soft robotics, sensing, transport and propulsion systems.…

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…

Analysis of PDEs · Mathematics 2022-05-31 Sören Bartels , Max Griehl , Jakob Keck , Stefan Neukamm

We theoretically investigate the threshold for the director reorientation from the homeotropic state to the hybrid homeotropic-planar state and vice versa in a cell filled with a flexoelectric nematic liquid crystal (NLC) subjected to an…

Soft Condensed Matter · Physics 2021-03-30 O. S. Tarnavskyy , M. F. Ledney

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

Liquid crystal elastomers (LCEs) marry the large deformation response of a cross-linked polymer network with the nematic order of liquid crystals pendent to the network. Of particular interest is the actuation of LCE sheets where the…

Soft Condensed Matter · Physics 2024-10-02 Lucas Bouck , David Padilla-Garza , Paul Plucinsky

Liquid crystal elastomers represent a novel class of programmable shape-transforming materials whose shape change trajectory is encoded in the material's nematic director field. Using three-dimensional nonlinear finite element…

Soft Condensed Matter · Physics 2016-02-16 Andrew Konya , Vianney Gimenez-Pinto , Robin Selinger

The ground state of twist-bend nematic liquid crystals is a heliconical molecular arrangement in which the nematic director precesses uniformly about an axis, making a fixed angle with it. Both precession senses are allowed in the ground…

Soft Condensed Matter · Physics 2014-04-15 Epifanio G. Virga

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

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

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

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…

Materials Science · Physics 2015-05-19 Wei Zhu , Michael Shelley , Peter Palffy-Muhoray

Liquid crystal elastomers (LCEs) are soft phase-changing solids that exhibit large reversible contractions upon heating, Goldstone-like soft modes and resultant microstructural instabilities. We heat a planar LCE slab to isotropic, clamp…

Soft Condensed Matter · Physics 2023-12-04 Morgan Barnes , Fan Feng , John S. Biggins

An elastomer swelling actuator deforms by absorbing a fluid, thus generating mechanical movement. We show that depositing small droplets of low molecular weight liquid crystal on liquid crystal elastomer (LCE) films leads to shape changes…

Soft Condensed Matter · Physics 2025-02-18 Mahesha Kodithuwakku Arachchige , Rohan Dharmarathna , Paul Fleischer , Antal Jakli

Surface-induced profiles of both nematic and smectic order parameters in a nematic liquid crystal, ranging from an orienting substrate to "infinity", were evaluated numerically on base of an extended Landau theory. In order to obtain a…

Soft Condensed Matter · Physics 2009-10-31 Joachim Stelzer , Ralf Bernhard

We consider planar liquid crystal elastomers: two dimensional objects made of anisotropic responsive materials, that upon activation remain flat however change their planar shape. We derive a closed form, analytical solution based on the…

Soft Condensed Matter · Physics 2023-05-02 Daniel Castro , Hillel Aharoni

Liquid crystal elastomers are special cross-linked polymer materials combining the large elastic deformability of elastomers with the orientational orders of liquid crystals. This model exhibits markedly different phenomena than the liquid…

Analysis of PDEs · Mathematics 2023-07-18 Xiaonan Hao , Jiaxi Huang , Ning Jiang

The shape of liquid crystalline elastomers (LCEs) with spatial variation in the director orientation can be transformed by exposure to a stimulus. Here, informed by previously reported analytical treatments, we prepare complex spiral…

Soft Condensed Matter · Physics 2018-02-07 Benjamin A. Kowalski , Cyrus Mostajeran , Nicholas P. Godman , Mark Warner , Timothy J. White

We use a variational principle to derive a mathematical model for a nematic electrolyte in which the liquid crystalline component is described in terms of a second-rank order tensor. The model extends the previously developed director-based…

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