Strain-order coupling in nematic elastomers:Equilibrium configurations

Pierluigi Cesana, Antonio Desimone

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

We consider models that describe liquid crystal elastomers either in a biaxial or in a uniaxial phase and in the framework of Frank's director theory. We prove the existence of static equilibrium solutions in the presence of frustrations due to electro-mechanical boundary conditions and to applied loads and fields. We find explicit solutions arising in connection with special boundary conditions and the corresponding phase diagrams, leading to significant implications on possible experimental observations.

Original languageEnglish
Pages (from-to)601-630
Number of pages30
JournalMathematical Models and Methods in Applied Sciences
Volume19
Issue number4
DOIs
Publication statusPublished - Apr 1 2009

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Elastomers
Boundary conditions
Configuration
Frustration
Biaxial
Equilibrium Solution
Explicit Solution
Liquid Crystal
Liquid crystals
Phase Diagram
Phase diagrams
Model
Framework
Observation

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Applied Mathematics

Cite this

Strain-order coupling in nematic elastomers:Equilibrium configurations. / Cesana, Pierluigi; Desimone, Antonio.

In: Mathematical Models and Methods in Applied Sciences, Vol. 19, No. 4, 01.04.2009, p. 601-630.

Research output: Contribution to journalArticle

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