• Featured in Physics

Geometry and Physics of Wrinkling

E. Cerda and L. Mahadevan
Phys. Rev. Lett. 90, 074302 – Published 19 February 2003
Physics logo See Focus story: New Wrinkle On Fighting Crow’s Feet

Abstract

The wrinkling of thin elastic sheets occurs over a range of length scales, from the fine scale patterns in substrates on which cells crawl to the coarse wrinkles seen in clothes. Motivated by the wrinkling of a stretched elastic sheet, we deduce a general theory of wrinkling, valid far from the onset of the instability, using elementary geometry and the physics of bending and stretching. Our main result is a set of simple scaling laws; the wavelength of the wrinkles λK1/4, where K is the stiffness due to an “elastic substrate” effect with a multitude of origins, and the amplitude of the wrinkle Aλ. These could form the basis of a highly sensitive quantitative wrinkling assay for the mechanical characterization of thin solid membranes.

  • Figure
  • Figure
  • Figure
  • Received 25 June 2002

DOI:https://doi.org/10.1103/PhysRevLett.90.074302

©2003 American Physical Society

Focus

Key Image

New Wrinkle On Fighting Crow’s Feet

Published 20 February 2003

A new theory predicts the structure of wrinkles in thin sheets of any material and may offer ways of eliminating them.

See more in Physics

Authors & Affiliations

E. Cerda1,2 and L. Mahadevan1,*

  • 1Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, United Kingdom
  • 2Departamento de Física, Universidad de Santiago de Chile, Avenida Ecuador 3493, Casilla 307, Correo 2, Santiago, Chile

  • *Electronic address: l.mahadevan@damtp.cam.ac.uk

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 90, Iss. 7 — 21 February 2003

Reuse & Permissions
Access Options
Collection
Heating up of Superconductors
January 27, 2017

This collection marks the 30th anniversary of the discovery of high-temperature superconductors. The papers selected highlight some of the advances that have been made to date, both in understanding why these compounds behave in the way they do, and in utilizing them in applications. The papers included in the collection have been made free to read.

APS and CERN Sign Open Access Agreement for SCOAP3

APS and CERN, the host organization of SCOAP3 (Sponsoring Consortium for Open Access Publishing in Particle Physics), have signed an agreement to make the high-energy physics (HEP) articles published in three leading APS journals open access beginning January 1, 2018. This agreement acts to support the publishing of open access content for wider benefit of the HEP community.

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×