Macroscopic and microscopic behavior of narrow elastic ribbons
From MaRDI portal
Publication:2424164
DOI10.1007/s10659-018-09712-wzbMath1415.74034OpenAlexW2904816118WikidataQ128754239 ScholiaQ128754239MaRDI QIDQ2424164
Giuseppe Tomassetti, Roberto Paroni
Publication date: 24 June 2019
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10659-018-09712-w
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Plates (74K20) Variational principles of physics (49S05)
Related Items (4)
Deformation of framed curves with boundary conditions ⋮ Multiscale tailoring of helical lattice systems for bespoke thermoelasticity ⋮ Stability of boundary conditions for the Sadowsky functional ⋮ Framed curves, ribbons, and parallel transport on the sphere
Cites Work
- Unnamed Item
- Unnamed Item
- A corrected Sadowsky functional for inextensible elastic ribbons
- Shape programming for narrow ribbons of nematic elastomers
- The deformation of a membrane formed by inextensible cords
- Über ein abwickelbares Möbiusband
- Issues concerning isometric deformations of planar regions to curved surfaces
- The wrinkling of a twisted ribbon
- Representation of a smooth isometric deformation of a planar material region into a curved surface
- Capturing the helical to spiral transitions in thin ribbons of nematic elastomers
- Dimension reduction via \(\Gamma \)-convergence for soft active materials
- One-dimensional von Kármán models for elastic ribbons
- 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
- Gamma-limit of a model for the elastic energy of an inextensible ribbon
- ``Wunderlich, meet Kirchhoff: a general and unified description of elastic ribbons and thin rods
- Equilibrium shapes with stress localisation for inextensible elastic Möbius and other strips
- Roadmap to the morphological instabilities of a stretched twisted ribbon
- Non-Euclidean ribbons
- Buckling of naturally curved elastic strips: the ribbon model makes a difference
- Representation for a smooth isometric mapping from a connected planar domain to a surface
- A Variational Model for Anisotropic and Naturally Twisted Ribbons
- NONLINEAR THIN-WALLED BEAMS WITH A RECTANGULAR CROSS-SECTION — PART I
- The Mechanics of Ribbons and Möbius Bands
- Computation of elastic equilibria of complete Möbius bands and their stability
- Inextensible networks with slack
- NONLINEAR THIN-WALLED BEAMS WITH A RECTANGULAR CROSS-SECTION — PART II
- An existence theorem for inextensible nets with slack
- Möbius bands, unstretchable material sheets and developable surfaces
- Nonlinear problems of elasticity
- Direct methods in the calculus of variations
This page was built for publication: Macroscopic and microscopic behavior of narrow elastic ribbons
