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Modeling and Simulation of Liquid-Crystal Elastomers
Physical Review E
  • Wei Zhu
  • Michael Shelley
  • Peter Palffy-Muhoray, Kent State University - Kent Campus
Publication Date
Document Type
  • nematic elastomers
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.

Copyright 2011 American Physical Society. Available on publisher's site at

Citation Information
Wei Zhu, Michael Shelley and Peter Palffy-Muhoray. "Modeling and Simulation of Liquid-Crystal Elastomers" Physical Review E Vol. 83 Iss. 5 (2011)
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