Numerical study of liquid crystal elastomers by a mixed finite element method

DOI10.1017/S0956792511000313zbMath1302.76106arXiv0911.5415MaRDI QIDQ3117950

M. Carme Calderer, Chong Luo

Publication date: 1 March 2012

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.5415

zbMATH Keywords

variational methodsinf-sup conditionmixed finite element methodliquid crystal elastomersemi-soft elasticity

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Liquid crystals (76A15) Finite element methods applied to problems in fluid mechanics (76M10) Crystals in solids (74N05)

Related Items (3)

Convergent FEM for a Membrane Model of Liquid Crystal Polymer Networks ⋮ Energy-minimizing nematic elastomers ⋮ A Landau-de Gennes theory of liquid crystal elastomers

Uses Software

• DOLFIN
• ALGLIB

Cites Work

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• Compatibility condition and existence results in discrete finite incompressible elasticity
• Liquid crystals with variable degree of orientation
• Landau-De Gennes theory of nematic liquid crystals: the Oseen-Frank limit and beyond
• Existence and partial regularity of static liquid crystal configurations
• Convexity conditions and existence theorems in nonlinear elasticity
• Soft elastic response of stretched sheets of nematic elastomers: A numerical study
• Material instabilities in nematic elastomers
• DOLFIN
• The inf-sup test
• A Saddle Point Approach to the Computation of Harmonic Maps
• STRAIN-ORDER COUPLING IN NEMATIC ELASTOMERS: EQUILIBRIUM CONFIGURATIONS
• Mixed and Hybrid Finite Element Methods
• A New Approach to Lagrange Multipliers

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