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Article Dans Une Revue Physical Review Applied Année : 2021

Softening of the Euler Buckling Criterion under Discretization of Compliance

Résumé

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.

Dates et versions

hal-03590689 , version 1 (28-02-2022)

Identifiants

Citer

D.J. Carter, D.J. Dunstan, W. Just, O.F. Bandtlow, Alfonso San-Miguel. Softening of the Euler Buckling Criterion under Discretization of Compliance. Physical Review Applied, 2021, 16 (5), pp.L051002. ⟨10.1103/PhysRevApplied.16.L051002⟩. ⟨hal-03590689⟩
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