Mean creep: The soft mode in elastic sheet buckling

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

doi:10.1016/j.physd.2005.01.004

Mean creep: The soft mode in elastic sheet buckling

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

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	181-188
Number of pages	8
Journal	Physica D: Nonlinear Phenomena
Volume	205
Issue number	1-4
DOIs	https://doi.org/10.1016/j.physd.2005.01.004
State	Published - Jun 1 2005

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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10.1016/j.physd.2005.01.004

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title = "Mean creep: The soft mode in elastic sheet buckling",

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.",

keywords = "Elastic sheet, Pattern formation, Soft modes",

author = "Michael K{\"u}cken and Newell, {Alan C.} and Shipman, {Patrick D.}",

note = "Funding Information: We thank NSF grant DMS 0202440 and NSF VIGRE grant 9977116 for support. ",

year = "2005",

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doi = "10.1016/j.physd.2005.01.004",

language = "English (US)",

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TY - JOUR

T1 - Mean creep

T2 - The soft mode in elastic sheet buckling

AU - Kücken, Michael

AU - Newell, Alan C.

AU - Shipman, Patrick D.

N1 - Funding Information: We thank NSF grant DMS 0202440 and NSF VIGRE grant 9977116 for support.

PY - 2005/6/1

Y1 - 2005/6/1

N2 - 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.

AB - 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.

KW - Elastic sheet

KW - Pattern formation

KW - Soft modes

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JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

IS - 1-4

ER -

Mean creep: The soft mode in elastic sheet buckling

Abstract

Keywords

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