Numerical Simulation of Inextensible Elastic Ribbons

DOI10.1137/20M1357494zbMath1453.74003arXiv1911.08185MaRDI QIDQ5134984

Sören Bartels

Publication date: 18 November 2020

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

Full work available at URL: https://arxiv.org/abs/1911.08185

zbMATH Keywords

convergencefinite element methoditerative solutionelastic ribbons

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids (74-10)

Related Items (3)

Deformation of framed curves with boundary conditions ⋮ Stability of boundary conditions for the Sadowsky functional ⋮ Framed curves, ribbons, and parallel transport on the sphere

Cites Work

• Unnamed Item
• A corrected Sadowsky functional for inextensible elastic ribbons
• Über ein abwickelbares Möbiusband
• Derivation of the nonlinear bending-torsion theory for inextensible rods by \(\Gamma\)-convergence
• Gamma-limit of a model for the elastic energy of an inextensible ribbon
• Bending paper and the Möbius strip
• Buckling of naturally curved elastic strips: the ribbon model makes a difference
• A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
• Approximation of Large Bending Isometries with Discrete Kirchhoff Triangles
• Introduction

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