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A large‐strain phase‐field model for nematic elastomers based on Landau‐de‐Gennes theory
Author(s) -
Keip MarcAndré,
Nadgir Omkar
Publication year - 2017
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201710188
Subject(s) - liquid crystal , elastomer , condensed matter physics , isotropy , phase transition , symmetry (geometry) , phase (matter) , materials science , landau theory , biaxial nematic , field (mathematics) , physics , optics , geometry , mathematics , quantum mechanics , composite material , pure mathematics
Liquid crystal elastomers bring together the orientational properties of liquid crystals as well as elastic properties of soft rubber. Nematic elastomers are a subclass of these materials which exhibit a phase transition from high‐symmetry isotropic state to low‐symmetry nematic state, when cooled down below a material specific temperature. We present a phase–field model based on Landau‐de‐Gennes theory for the modeling of nematic elastomers. The model is implemented within finite element framework and an initial boundary value problem of isotropic‐nematic phase transition is solved. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)