Journal
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS
Volume 6, Issue 2, Pages 285-296Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219455406001964
Keywords
carbon nanotube; flugge shell theory; non-local continuum model; continuum model; wave propagation; scale effect
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A non-local elastic shell model is proposed for the first time in this study for considering the small-scale effect in axi-symmetric wave propagation in carbon nanotubes (CNTs). Two coupled radial and longitudinal modes, and one decoupled torsional mode, axe derived from the developed non-local shell model. The small-scale effect on wave props, gation is numerically studied and discussed. In addition, the cut-off frequency based on the non-local shell model is obtained, which is found to be free of the small-scale effect. It is interesting to note that only one asymptotic phase velocity exists in the CNTs using the non-local shell model, whereas two asymptotic phase velocities can be predicted using the classical or local elastic shell model. It is hoped the research presented herein can be used as a benchmark for future studies on the wave propagation of CNTs with non-local continuum models.
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