Shape programming for narrow ribbons of nematic elastomers

DOI10.1007/S10659-016-9594-1zbMath1362.74007arXiv1603.02088OpenAlexW2962858614MaRDI QIDQ526396

Konstantinos Koumatos, Virginia Agostiniani, Antonio De Simone

Publication date: 12 May 2017

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.02088

zbMATH Keywords

dimension reductionnematic elastomersrod theory

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Plates (74K20) Liquid crystals (76A15)

Related Items (15)

Gamma-convergence results for nematic elastomer bilayers: relaxation and actuation ⋮ On global and local minimizers of prestrained thin elastic rods ⋮ Stability of boundary conditions for the Sadowsky functional ⋮ A homogenized bending theory for prestrained plates ⋮ Heterogeneous elastic plates with in-plane modulation of the target curvature and applications to thin gel sheets ⋮ A ribbon model for nematic polymer networks ⋮ Macroscopic and microscopic behavior of narrow elastic ribbons ⋮ A nonlinear bending theory for nematic LCE plates ⋮ Capturing the helical to spiral transitions in thin ribbons of nematic elastomers ⋮ Dimension reduction via \(\Gamma \)-convergence for soft active materials ⋮ Derivation of a homogenized bending-torsion theory for rods with micro-heterogeneous prestrain ⋮ One-dimensional von Kármán models for elastic ribbons ⋮ Hemihelical local minimizers in prestrained elastic bi-strips ⋮ Shape programming of a magnetic elastica ⋮ A Variational Model for Anisotropic and Naturally Twisted Ribbons

Cites Work

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