Continuum Mechanics and Thermodynamics

, Volume 23, Issue 3, pp 257–274

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

Original Article

DOI: 10.1007/s00161-011-0180-2

Cite this article as:
Agostiniani, V. & DeSimone, A. Continuum Mech. Thermodyn. (2011) 23: 257. doi:10.1007/s00161-011-0180-2

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.

Keywords

ElasticityLiquid crystalsElastomersVariational convergenceRelaxation

Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  1. 1.SISSATriesteItaly