Mean creep: The soft mode in elastic sheet buckling

Michael Kücken, Alan C. Newell, Patrick D. Shipman

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

In this note, we introduce the equations for the order parameters describing the buckling of thin, elastic sheets. What is new is the realization that mean creep, namely in-plane displacements, are soft (Goldstone) modes which can be driven by variations in the pattern intensity and which, in turn, affect how the buckling pattern develops. The order-parameter equations are canonical and belong to the universal classes of equations for pattern order parameters to which Yoshiki Kuramoto has contributed so much. We are very pleased to be part of this special issue of Physica D in honoring this remarkable colleague.

Original languageEnglish (US)
Pages (from-to)181-188
Number of pages8
JournalPhysica D: Nonlinear Phenomena
Volume205
Issue number1-4
DOIs
StatePublished - Jun 1 2005

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Keywords

  • Elastic sheet
  • Pattern formation
  • Soft modes

ASJC Scopus subject areas

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

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