975
Views
2
CrossRef citations to date
0
Altmetric
Mathematical Modelling, Symmetry and Topology

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

, , , &
Pages 1426-1438 | Received 21 Nov 2022, Published online: 08 Jan 2023
 

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.

Graphical abstract

Disclosure statement

No potential conflict of interest was reported by the authors.

Data availability statement

All supporting data for this research are included in the paper.

Additional information

Funding

We are grateful for the support by the Engineering and Physical Sciences Research Council of Great Britain under research grants EP/R020205/1 to AG, EP/S028870/1 to LAM and EP/M009521/1 to HFG. DM thanks the Leverhulme Trust for an Early Career Fellowship.