Original Article

Continuum Mechanics and Thermodynamics

, Volume 23, Issue 3, pp 257-274

First online:

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

  • Virginia AgostinianiAffiliated withSISSA Email author 
  • , Antonio DeSimoneAffiliated withSISSA

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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.


Elasticity Liquid crystals Elastomers Variational convergence Relaxation