A predictive theoretical model for stretch-induced instabilities in liquid crystal elastomers

Following the experimental lead, we construct a general mathematical model which, depending on whether the uniaxial scalar order parameter is constant or not, can predict either the classical shear striping instability or the molecular auxetic response and mechanical Fréedericksz transition observed...

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Published inLiquid crystals Vol. 50; no. 7-10; pp. 1426 - 1438
Main Authors Mihai, L. Angela, Raistrick, Thomas, Gleeson, Helen F., Mistry, Devesh, Goriely, Alain
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 09.08.2023
Taylor & Francis Ltd
Subjects
auxeticity
Elastomers
Freedericksz transitions
large strain deformation
Liquid crystal elastomer
Liquid crystals
mathematical modelling
Mathematical models
non-linear elasticity
Order parameters
shear striping
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Abstract Following the experimental lead, we construct a general mathematical model which, depending on whether the uniaxial scalar order parameter is constant or not, can predict either the classical shear striping instability or the molecular auxetic response and mechanical Fréedericksz transition observed in different liquid crystal elastomers. Our theoretical model can shed some light on the role of nematic order in these stretch-induced mechanical instabilities not observed in conventional rubber-like solids.
AbstractList Following the experimental lead, we construct a general mathematical model which, depending on whether the uniaxial scalar order parameter is constant or not, can predict either the classical shear striping instability or the molecular auxetic response and mechanical Fréedericksz transition observed in different liquid crystal elastomers. Our theoretical model can shed some light on the role of nematic order in these stretch-induced mechanical instabilities not observed in conventional rubber-like solids.
Author Mihai, L. Angela
Gleeson, Helen F.
Goriely, Alain
Mistry, Devesh
Raistrick, Thomas
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  givenname: Alain
  surname: Goriely
  fullname: Goriely, Alain
  organization: Mathematical Institute, University of Oxford, Oxford, UK
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Snippet Following the experimental lead, we construct a general mathematical model which, depending on whether the uniaxial scalar order parameter is constant or not,...
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SubjectTerms auxeticity
Elastomers
Freedericksz transitions
large strain deformation
Liquid crystal elastomer
Liquid crystals
mathematical modelling
Mathematical models
non-linear elasticity
Order parameters
shear striping
Title A predictive theoretical model for stretch-induced instabilities in liquid crystal elastomers
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