Torsional Vibration Analysis of Carbon Nanotubes Using Maxwell and Kelvin-Voigt Type Viscoelastic Material Models
Abstract
Keywords
References
- Eringen, A.C., (1972). Nonlocal polar elastic continua. International Journal of Engineering Science, Doi: 10.1016/0020-7225(72)90070-5.
- Eringen, A.C., (1983). On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves. Journal of Applied Physics 54(9): 4703–10, Doi: 10.1063/1.332803.
- Peddieson, J., Buchanan, G.R., McNitt, R.P., (2003). Application of nonlocal continuum models to nanotechnology. International Journal of Engineering Science 41(3–5): 305–12, Doi: 10.1016/S0020-7225(02)00210-0.
- Wang, L., Hu, H., (2005). Flexural wave propagation in single-walled carbon nanotubes. Phys. Rev. B 71(19): 195412, Doi: 10.1103/PhysRevB.71.195412.
- Wang, Q., (2005). Wave propagation in carbon nanotubes via nonlocal continuum mechanics. Journal of Applied Physics 98(12): 124301, Doi: 10.1063/1.2141648.
- Wang, Q., Varadan, V.K., (2006). Wave characteristics of carbon nanotubes. International Journal of Solids and Structures 43(2): 254–65, Doi: 10.1016/j.ijsolstr.2005.02.047.
- Reddy, J.N.N., (2007). Nonlocal theories for bending, buckling and vibration of beams. International Journal of Engineering Science 45(2–8): 288–307, Doi: 10.1016/j.ijengsci.2007.04.004.
- Wang, Q., Wang, C.M., (2007). The constitutive relation and small scale parameter of nonlocal continuum mechanics for modelling carbon nanotubes. Nanotechnology 18(7): 075702, Doi: 10.1088/0957-4484/18/7/075702.
Details
Primary Language
English
Subjects
Mechanical Engineering
Journal Section
Research Article
Authors
Mustafa Arda
*
0000-0002-0314-3950
Türkiye
Publication Date
September 20, 2020
Submission Date
January 2, 2020
Acceptance Date
April 8, 2020
Published in Issue
Year 2020 Volume: 4 Number: 3
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