Frank energy for nematic elastomers: a nonlinear model

DOI10.1051/cocv/2014022zbMath1311.74020OpenAlexW2061037843WikidataQ59202120 ScholiaQ59202120MaRDI QIDQ5250290

Marco Barchiesi, Antonio De Simone

Publication date: 19 May 2015

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://www.esaim-cocv.org/10.1051/cocv/2014022/pdf

zbMATH Keywords

invertibilitypolyconvexitynematic elastomers

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65)

Related Items (20)

Equilibria of Charged Hyperelastic Solids ⋮ Gamma-convergence results for nematic elastomer bilayers: relaxation and actuation ⋮ Relaxation of nonlinear elastic energies related to Orlicz-Sobolev nematic elastomers ⋮ Relaxation of nonlinear elastic energies involving the deformed configuration and applications to nematic elastomers ⋮ Existence for dislocation-free finite plasticity ⋮ A Reduced Model for Plates Arising as Low-Energy \(\boldsymbol{\Gamma}\) -Limit in Nonlinear Magnetoelasticity ⋮ Quasistatic evolution in magnetoelasticity under subcritical coercivity assumptions ⋮ Existence results in large-strain magnetoelasticity ⋮ Actuation of thin nematic elastomer sheets with controlled heterogeneity ⋮ A Landau-de Gennes theory of liquid crystal elastomers ⋮ Cell Motility and Locomotion by Shape Control ⋮ Effective behavior of nematic elastomer membranes ⋮ Local invertibility in Sobolev spaces with applications to nematic elastomers and magnetoelasticity ⋮ Rigorous derivation of active plate models for thin sheets of nematic elastomers ⋮ Orlicz-Sobolev nematic elastomers ⋮ A phase-field approach to Eulerian interfacial energies ⋮ Invertibility of Orlicz-Sobolev maps ⋮ Quasistatic evolution for dislocation-free finite plasticity ⋮ Linearized von Kármán theory for incompressible magnetoelastic plates ⋮ Existence results for incompressible magnetoelasticity

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• STRAIN-ORDER COUPLING IN NEMATIC ELASTOMERS: EQUILIBRIUM CONFIGURATIONS
• Global invertibility of Sobolev functions and the interpenetration of matter
• Local Invertibility of Sobolev Functions
• The coupling of chiral chains to mechanical distortions in elastomers
• Direct methods in the calculus of variations

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