Γ-convergence of energies for nematic elastomers in the small strain limit
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- Agostiniani, V. & DeSimone, A. Continuum Mech. Thermodyn. (2011) 23: 257. doi:10.1007/s00161-011-0180-2
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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.