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

Adran Mathemateg

Trinity College Dublin

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

12 Dyfyniadau (Scopus)

322 Wedi eu Llwytho i Lawr (Pure)

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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.

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	347-352
Nifer y tudalennau	6
Cyfnodolyn	American Journal of Physics
Cyfrol	88
Rhif cyhoeddi	5
Dyddiad ar-lein cynnar	21 Ebr 2020
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1119/10.0000667
Statws	Cyhoeddwyd - 01 Mai 2020

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10.1119/10.0000667

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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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note = "Funding Information: This work was supported by EPSRC Grant Nos. EP/K032208/1 and EP/R014604/1 and Science Foundation Ireland (SFI) Grant No. 13/IA/1926. A.I. acknowledges funding from the Trinity College Dublin Provost's Ph.D. Project Awards. Publisher Copyright: {\textcopyright} 2020 American Association of Physics Teachers.",

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AU - Hutzler, Stefan

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N2 - 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.

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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