Softening of the Euler Buckling Criterion under Discretization of Compliance

Euler solved the problem of the collapse of tall thin columns under unexpectedly small loads in 1744. The analogous problem of the collapse of circular elastic rings or tubes under external pressure was mathematically intractable and has only been fully solved recently. In the context of carbon nano...

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Bibliographic Details
Published in:Physical review applied 2021-11, Vol.16 (5), Article L051002
Main Authors: Carter, D.J., Dunstan, D.J., Just, W., Bandtlow, O.F., San-Miguel, A.
Format: Article
Language:English
Subjects:
Chemical Sciences
Engineering Sciences
Physics
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Summary:Euler solved the problem of the collapse of tall thin columns under unexpectedly small loads in 1744. The analogous problem of the collapse of circular elastic rings or tubes under external pressure was mathematically intractable and has only been fully solved recently. In the context of carbon nanotubes, an additional phenomenon was found experimentally and in atomistic simulations but not explained: the collapse pressure of smaller-diameter tubes deviates below the continuum-mechanics solution [Torres-Dias et al., Carbon 123, 145 (2017)]. Here, this deviation is shown to occur in discretized straight columns and it is fully explained in terms of the phonon dispersion curve. This reveals an unexpected link between the static mechanical properties of discrete systems and their dynamics described through dispersion curves.
ISSN:2331-7019
2331-7019
DOI:10.1103/PhysRevApplied.16.L051002