Frank energy for nematic elastomers: a nonlinear model
1 Universitàdegli Studi di Napoli
“Federico II”, Via
2 SISSA-International School for Advanced Studies, Via Bonomea 265, 34136 Trieste, Italy.
We discuss the well-posedness of a new nonlinear model for nematic elastomers. The main novelty in our work is that the Frank energy penalizes spatial variations of the nematic director in the deformed, rather than in the reference configuration, as it is natural in the case of large deformations.
Mathematics Subject Classification: 74B20 / 74G65
Key words: Nematic elastomers / polyconvexity / invertibility
© EDP Sciences, SMAI 2014