Understanding and modeling polymers: The challenge of multiple scales

F Schmid - ACS Polymers Au, 2022 - ACS Publications
Polymer materials are multiscale systems by definition. Already the description of a single
macromolecule involves a multitude of scales, and cooperative processes in polymer …

Recent trends in continuum modeling of liquid crystal networks: a mini-review

S Park, Y Oh, J Moon, H Chung - Polymers, 2023 - mdpi.com
This work aims to provide a comprehensive review of the continuum models of the phase
behaviors of liquid crystal networks (LCNs), novel materials with various engineering …

Continuum mechanical modeling of liquid crystal elastomers as dissipative ordered solids

Y Zhang, C Xuan, Y Jiang, Y Huo - Journal of the Mechanics and Physics of …, 2019 - Elsevier
Liquid crystal elastomers (LCEs) are special cross-linked polymer materials combining the
large elastic deformability of elastomers with the orientational orders of liquid crystals. Here …

Macroscopic Response Of¶ Nematic Elastomers via Relaxation Of¶ a Class of SO (3)-Invariant Energies

A DeSimone, G Dolzmann - Archive for rational mechanics and analysis, 2002 - Springer
We obtain an explicit formula for the relaxation of the free-energy density for nematic
elastomers proposed by Bladon, Terentjev & Warner (Phys. Rev. E 47 (1993), 3838–3840) …

[HTML][HTML] Surface wrinkling of a hyperelastic half-space coated by a liquid crystal elastomer film

Y Liu, Q Ji, A Goriely - International Journal of Solids and Structures, 2024 - Elsevier
We consider the stability of a hyperelastic substrate coated by a liquid crystal elastomer film
and subjected to compressive forces. In this problem, the liquid crystal elastomer directors …

A plate theory for nematic liquid crystalline solids

LA Mihai, A Goriely - Journal of the Mechanics and Physics of Solids, 2020 - Elsevier
We derive a Föppl-von Kármán-type constitutive model for solid liquid crystalline plates
where the nematic director may or may not rotate freely relative to the elastic network. To …

[HTML][HTML] On rotary inertia of microstuctured beams and variations thereof

VA Eremeyev, I Elishakoff - Mechanics Research Communications, 2024 - Elsevier
We discuss the classic rotary inertia notion and extend it for microstructured beams
introducing new microinertia parameters as an additional dynamic response to …

Nematic liquid crystalline elastomers are aeolotropic materials

LA Mihai, H Wang, J Guilleminot… - Proceedings of the …, 2021 - royalsocietypublishing.org
Continuum models describing ideal nematic solids are widely used in theoretical studies of
liquid crystal elastomers. However, experiments on nematic elastomers show a type of …

A rod theory for liquid crystalline elastomers

A Goriely, DE Moulton, L Angela Mihai - Journal of Elasticity, 2023 - Springer
We derive a general constitutive model for nematic liquid crystalline rods. Our approach
consists in reducing the three-dimensional strain-energy density of a nematic cylindrical …

Instabilities in liquid crystal elastomers

LA Mihai, A Goriely - Mrs Bulletin, 2021 - Springer
Stability is an important and fruitful avenue of research for liquid crystal elastomers. At
constant temperature, upon stretching, the homogeneous state of a nematic body becomes …