English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  Folding of an opened spherical shell

Couturier, E., Dumais, J., Cerda, E., & Katifori, E. (2013). Folding of an opened spherical shell. SOFT Matter, 9, 8359-8367. doi:10.1039/C3SM50575H.

Item is

Basic

show hide
Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-0FCF-6 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-0FD0-D
Genre: Journal Article

Files

show Files

Locators

show

Creators

show
hide
 Creators:
Couturier, Etienne, Author
Dumais, J., Author
Cerda, E., Author
Katifori, Elenei1, Author              
Affiliations:
1Max Planck Research Group Physics of Biological Organization, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063293              

Content

show
hide
Free keywords: -
 Abstract: Thin, doubly curved shells occur commonly in nature and their mechanical properties and modes of deformation are very important for engineering structures of all scales. Although there has been substantial work on the stability and modes of failure of thin shells, relatively little work has been done to understand the conditions that promote continuous large scale deformations. A major impediment to progress in this direction is the inherent difficulty in obtaining analytical expressions for the deformed shapes. In this work we propose a new integrable solution which describes the behavior under load of a thin spherical shell with an opening (aperture) of n-fold axial symmetry. We derive a two-parameter family of approximately isometric, constant positive Gaussian curvature shapes that is in excellent agreement with our experimental results of deformed shells (3D scans of compressed ping-pong balls) and simulations (tethered membrane simulations minimizing the stretching and bending energy). The integrable solutions that describe those shapes have n symmetrically arranged curvature singularities which correspond to cusps of the folded shape. We examine the properties of the folded shells and observe that in the analytic solutions isometric closure is more easily achieved when the singularities lie away from the center of the aperture. We find that when allowed by the geometry of the aperture and the nature of the load, physical shells expel the curvature singularities into the aperture.

Details

show
hide
Language(s): eng - English
 Dates: 2013-06-24
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: Peer
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: SOFT Matter
  Alternative Title : Soft Matter
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: -
Pages: - Volume / Issue: 9 Sequence Number: - Start / End Page: 8359 - 8367 Identifier: -