Journal
PHILOSOPHICAL MAGAZINE
Volume 102, Issue 24, Pages 2506-2524Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/14786435.2022.2102262
Keywords
Buckling; bifurcations; symmetry breaking; chains of particles
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Funding
- Trinity College Dublin Provost's PhD Project Award
- European Space Agency SciSpacE program [4000129502/20/NL/PG]
- European Regional Development Fund (ERDF) via Welsh Government
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This study examines the instability and buckling of a linear chain of hard spheres in a transverse harmonic potential. The computational model used is consistent with experimental results obtained from metal spheres in a cylinder.
A linear chain of hard spheres confined in a transverse harmonic potential is unstable and buckles, if tilted beyond some critical angle. We examine this symmetry breaking using a computational model that was previously applied to buckling under compression. Results are presented in a bifurcation diagram (in terms of energy as a function of tilt), including both stable and unstable equilibrium states. The key results are consistent with experiments using metal spheres resting in a cylinder.
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