A Variational Model for Anisotropic and Naturally Twisted Ribbons

DOI10.1137/16M1074862zbMath1352.49010arXiv1605.03716MaRDI QIDQ2834574

Peter Hornung, Lorenzo Freddi, Maria Giovanna Mora, Roberto Paroni

Publication date: 23 November 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.03716

zbMATH Keywords

variational model\(\Gamma\)-convergenceSadowsky functionalfrustrated elastic ribbons

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Plates (74K20) Methods involving semicontinuity and convergence; relaxation (49J45) Variational principles of physics (49S05)

Related Items (14)

Deformation of framed curves with boundary conditions ⋮ On global and local minimizers of prestrained thin elastic rods ⋮ Multiscale tailoring of helical lattice systems for bespoke thermoelasticity ⋮ Stability of boundary conditions for the Sadowsky functional ⋮ Heterogeneous elastic plates with in-plane modulation of the target curvature and applications to thin gel sheets ⋮ Macroscopic and microscopic behavior of narrow elastic ribbons ⋮ Capturing the helical to spiral transitions in thin ribbons of nematic elastomers ⋮ Framed curves, ribbons, and parallel transport on the sphere ⋮ Derivation of a homogenized bending-torsion theory for rods with micro-heterogeneous prestrain ⋮ Homogenization of an elastic material reinforced with thin rigid von Kármán ribbons ⋮ One-dimensional von Kármán models for elastic ribbons ⋮ On the bending and twisting of rods with misfit ⋮ Enhanced models for the nonlinear bending of planar rods: localization phenomena and multistability ⋮ Isometric deformations of unstretchable material surfaces, a spatial variational treatment

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