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
2011-01-01

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
23
3
257
274
Agostiniani, Virginia; De Simone, Antonio
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/13917
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