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Computational homogenization of nematic liquid crystal elastomers based on Landau‐de‐Gennes theory
Author(s) -
Nadgir Omkar,
Rambausek Matthias,
Keip MarcAndré
Publication year - 2018
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201800318
Subject(s) - liquid crystal , homogenization (climate) , elastomer , biaxial nematic , materials science , boundary value problem , condensed matter physics , finite element method , physics , mathematics , thermodynamics , mathematical analysis , composite material , biodiversity , ecology , biology
Nematic liquid crystal elastomers represent a group of materials, which combine elastic properties of rubber with orientational properties of liquid crystals. The present contribution proposes a variational homogenization principle for nematic liquid crystal elastomers. A symmetric and traceless tensorial quantity represents the nematic order parameter, which is used as a phase field. The model is implemented in a finite element framework and the validation is done with two as well as three dimensional nemato‐mechanical boundary value problems.