Publication Title

Physical Review E

Publication Date

2011

Document Type

Article

DOI

10.1103/PhysRevE.83.051703

Keywords

nematic elastomers

Disciplines

Physics

Abstract

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 are used, within a Lagrangian framework, to obtain the equations of motion. The free energy consists of both elastic and liquid crystalline contributions, each of which is a function of the material displacement and the orientational order parameter. The model gives dynamics for the material displacement, the scalar order parameter and the nematic director, the latter two of which correspond to the orientational order parameter tensor. Our simulations are carried out by solving the governing equations using an implicit-explicit scheme and the Chebyshev polynomial method. The simulations show that the model can successfully capture the shape changing dynamics of LCEs that have been observed in experiments, and also track the evolution of the order parameter tensor.

Comments

Copyright 2011 American Physical Society. Available on publisher's site at http://dx.doi.org/10.1103/PhysRevE.83.051703


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