Calculus of Variations and Geometric Measure Theory

M. Barchiesi - A. DeSimone

Frank energy for nematic elastomers: a nonlinear model

created by barchiesi on 01 Aug 2013
modified on 12 Jan 2016


Published Paper

Inserted: 1 aug 2013
Last Updated: 12 jan 2016

Journal: ESAIM: COCV
Volume: 21
Number: 2
Pages: 372–377
Year: 2015
Doi: doi:10.1051/cocv/2014022
Links: published paper


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.

Keywords: Polyconvexity, nematic elastomers