Existence of optimal flat ribbons

DOI10.1007/S12220-024-01683-WzbMATH Open1542.4903MaRDI QIDQ6564129

Simon Blatt, Matteo Raffaelli

Publication date: 28 June 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

gamma-convergencebending energydevelopable ribbondirect method in the calculus of variation

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Plates (74K20) Methods involving semicontinuity and convergence; relaxation (49J45) Optimization of shapes other than minimal surfaces (49Q10) Surfaces in Euclidean and related spaces (53A05)

Cites Work

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• Translation of Michael Sadowsky's paper ``An elementary proof for the existence of a developable Möbius band and the attribution of the geometric problem to a variational problem
• Translation of W. Wunderlich's ``On a developable Möbius band
• Non-Euclidean ribbons
• Macroscopic and microscopic behavior of narrow elastic ribbons
• Stability of boundary conditions for the Sadowsky functional
• A variational model for anisotropic and naturally twisted ribbons
• An Introduction to Banach Space Theory
• Numerical Simulation of Inextensible Elastic Ribbons
• Variational Methods
• Nonrigidity of flat ribbons

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