Geodesic
Frank energy for nematic elastomers: a nonlinear model
Barchiesi, Marco1 ; DeSimone, Antonio2
1 Universitàdegli Studi di Napoli “Federico II”, Via Cintia, 80126 Napoli, Italy.
2 SISSA-International School for Advanced Studies, Via Bonomea 265, 34136 Trieste, Italy.
ESAIM: Control, Optimisation and Calculus of Variations, Tome 21 (2015) no. 2, pp. 372-377

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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.

Reçu le :
DOI : 10.1051/cocv/2014022
Classification : 74B20, 74G65
Keywords: Nematic elastomers, polyconvexity, invertibility

Barchiesi, Marco 1 ; DeSimone, Antonio 2

1 Universitàdegli Studi di Napoli “Federico II”, Via Cintia, 80126 Napoli, Italy.
2 SISSA-International School for Advanced Studies, Via Bonomea 265, 34136 Trieste, Italy. 
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     title = {Frank energy for nematic elastomers: a nonlinear model},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {372--377},
     publisher = {EDP-Sciences},
     volume = {21},
     number = {2},
     year = {2015},
     doi = {10.1051/cocv/2014022},
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     language = {en},
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Barchiesi, Marco; DeSimone, Antonio. Frank energy for nematic elastomers: a nonlinear model. ESAIM: Control, Optimisation and Calculus of Variations, Tome 21 (2015) no. 2, pp. 372-377. doi: 10.1051/cocv/2014022

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