A simple experimental system to illustrate the nonlinear properties of a linear chain under compression

Denis Weaire; Ali Irannezhad; Adil Mughal; Stefan Hutzler

doi:10.1119/10.0000667

A simple experimental system to illustrate the nonlinear properties of a linear chain under compression

Denis Weaire
, Ali Irannezhad
, Adil Mughal
, Stefan Hutzler

Department of Mathematics

Trinity College Dublin

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

12 Citations (Scopus)

315 Downloads (Pure)

Abstract

A linear chain of spheres confined by a transverse harmonic potential experiences localized buckling under compression. We present simple experiments using gas bubbles in a liquid-filled tube to demonstrate this phenomenon. Our findings are supported semi-quantitatively by numerical simulations. In particular, we demonstrate the existence of a critical value of compression for the onset of buckling.

Original language	English
Pages (from-to)	347-352
Number of pages	6
Journal	American Journal of Physics
Volume	88
Issue number	5
Early online date	21 Apr 2020
DOIs	https://doi.org/10.1119/10.0000667
Publication status	Published - 01 May 2020

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A_simple_experimental_systemAccepted author manuscript, 1.77 MBLicence: CC BY-NC

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abstract = "A linear chain of spheres confined by a transverse harmonic potential experiences localized buckling under compression. We present simple experiments using gas bubbles in a liquid-filled tube to demonstrate this phenomenon. Our findings are supported semi-quantitatively by numerical simulations. In particular, we demonstrate the existence of a critical value of compression for the onset of buckling. ",

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AB - A linear chain of spheres confined by a transverse harmonic potential experiences localized buckling under compression. We present simple experiments using gas bubbles in a liquid-filled tube to demonstrate this phenomenon. Our findings are supported semi-quantitatively by numerical simulations. In particular, we demonstrate the existence of a critical value of compression for the onset of buckling.

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A simple experimental system to illustrate the nonlinear properties of a linear chain under compression

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