A non-local model for liquid crystal elastomers

Wednesday, May 25, 2005 - 9:30am - 10:05am
EE/CS 3-180
Peter Palffy-Muhoray (Kent State University)
We have developed a fully non-local model to describe the dynamic response
of nematic liquid crystal elastomers.
The free energy, incorporating both elastic and nematic contributions, is a
function of the material displacement vector and the orientational order
parameter tensor. The free energy cost of spatial variations of these is
taken into account through non-local interactions rather than through the
use of gradient expansions. The equations of motion, for displacement and
orientational order, are obtained from the free energy and the dissipation
function by the use of a Lagrangian approach.
We outline potential advantages of this formalism, and present preliminary
numerical results.