Actuation of thin nematic elastomer sheets with controlled heterogeneity

DOI10.1007/s00205-017-1167-3zbMath1384.35126arXiv1611.00729OpenAlexW2548113464WikidataQ59737177 ScholiaQ59737177MaRDI QIDQ1702437

Kaushik Bhattacharya, Paul Plucinsky, Marius Lemm

Publication date: 28 February 2018

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.00729

zbMATH Keywords

variational formulationliquid crystal elastomersentropic elastic energynematic elastomer sheets

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Statistical mechanics of polymers (82D60) Energy minimization in equilibrium problems in solid mechanics (74G65) Variational methods applied to PDEs (35A15) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Integro-partial differential equations (35R09) PDEs in connection with statistical mechanics (35Q82)

Related Items (7)

Gamma-convergence results for nematic elastomer bilayers: relaxation and actuation ⋮ Convergent FEM for a Membrane Model of Liquid Crystal Polymer Networks ⋮ A homogenized bending theory for prestrained plates ⋮ A nonlinear bending theory for nematic LCE plates ⋮ Derivation of a homogenized bending-torsion theory for rods with micro-heterogeneous prestrain ⋮ Inflationary routes to Gaussian curved topography ⋮ A design principle for actuation of nematic glass sheets

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