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Buckling mediated by mobile localized elastic excitations.

Robert S Hutton1, Eduardo Vitral2, Eugenio Hamm3

  • 1Department of Mechanical Engineering, University of Nevada, 1664 N. Virginia St. (0312), Reno, NV 89557-0312, USA.

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|April 2, 2024
PubMed
Summary

Localized elastic excitations, or crumples, drive structural changes in thin sheets. These dynamic events, observed on millisecond timescales, exhibit predictable scaling behaviors related to sheet size and thickness.

Keywords:
crumple dynamicselastic localizationplate and shell structuressingularitiessnap-through

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Area of Science:

  • Physics
  • Materials Science
  • Mechanics of Materials

Background:

  • Thin sheets undergo complex structural transitions.
  • Localized elastic excitations play a role in these deformations.

Purpose of the Study:

  • To investigate the dynamics and characteristics of localized elastic excitations (crumples) in thin sheets.
  • To understand the nucleation, propagation, and interaction of these excitations.
  • To analyze the scaling of crumple size with sheet dimensions and thickness.

Main Methods:

  • Experimental observation of transient and stable mobile localized elastic excitations.
  • Analysis of dynamics on millisecond timescales.
  • Correlation of deformation onset with crumple size and scaling analysis.

Main Results:

  • Crumples nucleate at specific geometric sites and exhibit complex dynamic behaviors (propagation, interaction, annihilation).
  • Stable intermediate states and inter-crumple interactions (ridges, valleys) lead to pattern formation.
  • A characteristic stable crumple size scales with sheet thickness, consistent with theory.

Conclusions:

  • Localized elastic excitations are the primary mediators of structural transitions in thin sheets.
  • The observed dynamics and scaling laws provide insights into the mechanics of thin materials.
  • A new theoretical justification for the observed scaling is presented.