Wave propagation in double walled carbon nanotubes by using doublet mechanics theory |
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| Affiliation: | 1. Smart Micro/Nano Electro Mechanical Systems Lab (SMNEMS), Nanotechnology Department, School of New Technologies, Iran University of Science and Technology, Tehran, Iran;2. Department of Mechanical and Aerospace Engineering, Utah State University, Logan, UT, 84322, USA;1. Faculty of Engineering and Environment, Northumbria University, Newcastle upon Tyne NE1 8ST, UK;2. Institute of Research and Development, Duy Tan University, 03 Quang Trung, Da Nang, Viet Nam;3. Division of Construction Computation, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;4. Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;5. School of Engineering and Mathematical Sciences, La Trobe University, Bundoora, VIC 3086, Australia;6. Department of Mechanical Engineering, Trakya University, 22030 Edirne, Turkey;1. College of Physics and Electronic Science, Hunan University of Arts and Science, Changde 415000, China;2. College of Materials Science and Engineering, Hunan University, Changsha 410082, China;3. Department of Applied Physics, Hunan University, Changsha 410082, China;1. Applied Physics Department, State University of Campinas, 13083-970, Campinas, SP, Brazil;2. Department of Mechanical Engineering and Materials Science, Duke University, Durham, NC, 27708, USA;3. Department of Civil, Environmental and Mechanical Engineering, Laboratory of Bio-Inspired and Graphene Nanomechanics, University of Trento, Via Mesiano, 77, 38123, Trento, Italy;4. Ket Lab, Italian Space Agency, Via del Politecnico snc, 00133, Rome, Italy;5. School of Engineering and Materials Science, Queen Mary University of London, Mile End Road, London, E1 4NS, United Kingdom;1. International Center for Applied Mechanics, State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University, Xi’an 710049, China;2. Institute of High Performance Computing, A1Star, 138632, Singapore;3. Department of Materials Science and Engineering, University of Pennsylvania, Philadelphia, PA 19104, USA |
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| Abstract: | Flexural and axial wave propagation in double walled carbon nanotubes embedded in an elastic medium and axial wave propagation in single walled carbon nanotubes are investigated. A length scale dependent theory which is called doublet mechanics is used in the analysis. Governing equations are obtained by using Hamilton principle. Doublet mechanics results are compared with classical elasticity and other size dependent continuum theories such as strain gradient theory, nonlocal theory and lattice dynamics. In addition, experimental wave frequencies of graphite are compared with the doublet mechanics theory. It is obtained that doublet mechanics gives accurate results for flexural and axial wave propagation in nanotubes. Thus, doublet mechanics can be used for the design of electro-mechanical nano-devices such as nanomotors, nanosensors and oscillators. |
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| Keywords: | Doublewalled carbon nanotubes Wave propagation Doublet mechanics |
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