Journal
COMPUTATIONAL MATERIALS SCIENCE
Volume 49, Issue 3, Pages 518-523Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.commatsci.2010.05.043
Keywords
Carbon nanotubes; Elastic waves; Dispersion relation; Initial axial stress
Categories
Funding
- National Natural Science Foundation of China [10672189]
- SRF for ROCS, SEM, China
Ask authors/readers for more resources
This paper studies the dispersion relation of waves propagating in 1D nanostructures with initial axial stress. Based on a nonlocal elastic model incorporating with strain gradient, the governing equations for longitudinal and transverse waves in bars and beams have been derived, respectively. In this equation, two scale parameters are introduced to describe size effect. The phase and group velocities of wave propagation are obtained analytically, and the effects of initial axial loading on the wave speeds are analyzed. Examples are presented for flexural waves propagating in single-walled and double-walled carbon nanotubes. Waves are always present for tensile initial axial force, while they may not exist unless the compressive axial force fulfills a certain condition. In particular, the wave speeds are sensitive to initial force for lower frequencies and insensitive to it for higher frequencies. (C) 2010 Elsevier B.V. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available