Orientational order in buckling elastic membranes

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21 Citations (Scopus)

Abstract

We study pattern formation in buckling membranes under lateral compression, using the Föppl-von Kármán (FvK) approximation for nonlinear elasticity. To identify the role of shear strain, we numerically compare the patterns on elastic and fluid membranes as well as their coarsening dynamics. By mapping the FvK equations onto a vector spin model with nonlocal interactions, we find anisotropic correlation of ridges that characterizes the topography of crumpled elastic membranes.

Original languageEnglish
Pages (from-to)267-274
Number of pages8
JournalPhysica D: Nonlinear Phenomena
Volume205
Issue number1-4
DOIs
Publication statusPublished - 2005 Jun 1

Keywords

  • Nonlinear elasticity
  • Pattern formation
  • Phase ordering

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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