A Landau-de Gennes theory of liquid crystal elastomers

DOI10.3934/dcdss.2015.8.283zbMath1305.70033arXiv1312.3019OpenAlexW1981471192MaRDI QIDQ479090

Carlos Garavito Garzón, M. Carme Calderer, Baisheng Yan

Publication date: 5 December 2014

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.3019

zbMATH Keywords

energy minimizationvariational methodsinvertibilityliquid crystalsLandau-de Gennes modelanisotropic nonlinear elasticity

Mathematics Subject Classification ID

Variational methods for problems in mechanics (70G75) Nonlinear elasticity (74B20) Anisotropy in solid mechanics (74E10) Stefan problems, phase changes, etc. (80A22) Energy minimization in equilibrium problems in solid mechanics (74G65) Liquid crystals (76A15)

Related Items (3)

Maximum entropy methods as the bridge between microscopic and macroscopic theory ⋮ Relaxation of nonlinear elastic energies involving the deformed configuration and applications to nematic elastomers ⋮ Local invertibility in Sobolev spaces with applications to nematic elastomers and magnetoelasticity

Cites Work

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• Quasiconvex envelopes of energies for nematic elastomers in the small strain regime and applications
• Liquid crystals with variable degree of orientation
• Landau-De Gennes theory of nematic liquid crystals: the Oseen-Frank limit and beyond
• Injectivity and self-contact in nonlinear elasticity
• Convexity conditions and existence theorems in nonlinear elasticity
• Macroscopic response of nematic elastomers via relaxation of a class of \(SO(3)\)-invariant energies
• A continuum-mechanical theory for nematic elastomers
• Soft elastic response of stretched sheets of nematic elastomers: A numerical study
• Free-energy density functions for nematic elastomers
• Chevron patterns in liquid crystal flows
• The Landau-de Gennes theory of nematic liquid crystals: uniaxiality versus biaxiality
• Material instabilities in nematic elastomers
• Numerical study of liquid crystal elastomers by a mixed finite element method
• Liquid Crystal Elastomers and Phase Transitions in Actin Rod Networks
• Equilibrium order parameters of nematic liquid crystals in the Landau-de Gennes theory
• STRAIN-ORDER COUPLING IN NEMATIC ELASTOMERS: EQUILIBRIUM CONFIGURATIONS
• Global invertibility of Sobolev functions and the interpenetration of matter
• Liquid Crystal Flow: Dynamic and Static Configurations
• Local Invertibility of Sobolev Functions
• Transformations by functions in Sobolev spaces and lower semicontinuity for parametric variational problems
• Frank energy for nematic elastomers: a nonlinear model

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