| Issue |
ESAIM: COCV
Volume 21, Number 2, April-June 2015
|
|
|---|---|---|
| Page(s) | 372 - 377 | |
| DOI | https://doi.org/10.1051/cocv/2014022 | |
| Published online | 27 November 2014 | |
Frank energy for nematic elastomers: a nonlinear model
1 Universitàdegli Studi di Napoli
“Federico II”, Via
Cintia, 80126
Napoli,
Italy.
barchies@gmail.com
2 SISSA-International School for
Advanced Studies, Via Bonomea
265, 34136
Trieste,
Italy.
desimone@sissa.it
Received:
30
August
2013
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
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