We study two variational models recently proposed in the literature to describe the mechanical behaviour of nematic elastomers either in the fully nonlinear regime or in the framework of a geometrically linear theory. We show that, in the small strain limit, the energy functional of the first one Γ-converges to the relaxation of the second one, a functional for which an explicit representation formula is available

Gamma-convergence of energies for nematic elastomers in the small strain limit

Agostiniani, Virginia
;
De Simone, Antonio
2011

Abstract

We study two variational models recently proposed in the literature to describe the mechanical behaviour of nematic elastomers either in the fully nonlinear regime or in the framework of a geometrically linear theory. We show that, in the small strain limit, the energy functional of the first one Γ-converges to the relaxation of the second one, a functional for which an explicit representation formula is available
2011
Settore ICAR/08 - Scienza delle Costruzioni
Elasticity; Elastomers; Liquid crystals; Relaxation; Variational convergence;
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/84137
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