Dynamic stability analysis of multi-walled carbon nanotubes with arbitrary boundary conditions based on the nonlocal elasticity theory

Mechanics of Advanced Materials and Structures ◽

10.1080/15376494.2016.1227489 ◽

2016 ◽

Vol 24 (14) ◽

pp. 1180-1188 ◽

Author(s):

Reza Ansari ◽

Raheb Gholami

Keyword(s):

Carbon Nanotubes ◽

Stability Analysis ◽

Boundary Conditions ◽

Elasticity Theory ◽

Dynamic Stability ◽

Nonlocal Elasticity ◽

Nonlocal Elasticity Theory ◽

Arbitrary Boundary ◽

Multi Walled Carbon Nanotubes ◽

Walled Carbon Nanotubes

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A review of mechanical analyses of rectangular nanobeams and single-, double-, and multi-walled carbon nanotubes using Eringen’s nonlocal elasticity theory

Archive of Applied Mechanics ◽

10.1007/s00419-019-01542-z ◽

2019 ◽

Vol 89 (9) ◽

pp. 1761-1792 ◽

Author(s):

Chih-Ping Wu ◽

Jung-Jen Yu

Keyword(s):

Carbon Nanotubes ◽

Elasticity Theory ◽

Nonlocal Elasticity ◽

Nonlocal Elasticity Theory ◽

Multi Walled Carbon Nanotubes ◽

Walled Carbon Nanotubes

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Variational principles for multi-walled carbon nanotubes undergoing buckling based on nonlocal elasticity theory

Physics Letters A ◽

10.1016/j.physleta.2008.07.003 ◽

2008 ◽

Vol 372 (35) ◽

pp. 5701-5705 ◽

Author(s):

S. Adali

Keyword(s):

Carbon Nanotubes ◽

Elasticity Theory ◽

Nonlocal Elasticity ◽

Variational Principles ◽

Nonlocal Elasticity Theory ◽

Multi Walled Carbon Nanotubes ◽

Walled Carbon Nanotubes

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Vibration of fluid-filled multi-walled carbon nanotubes seen via nonlocal elasticity theory

Acta Mechanica Solida Sinica ◽

10.1016/s0894-9166(15)60002-7 ◽

2014 ◽

Vol 27 (6) ◽

pp. 568-578 ◽

Author(s):

Qingtian Deng ◽

Zhichun Yang

Keyword(s):

Carbon Nanotubes ◽

Elasticity Theory ◽

Nonlocal Elasticity ◽

Nonlocal Elasticity Theory ◽

Multi Walled Carbon Nanotubes ◽

Walled Carbon Nanotubes

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A Revisit to Capture the Entire Behavior of Ultrasonic Wave Dispersion Characteristics of Single Walled Carbon Nanotubes Based on Nonlocal Elasticity Theory and Flügge Shell Model

Journal of Computational and Theoretical Nanoscience ◽

10.1166/jctn.2011.1905 ◽

2011 ◽

Vol 8 (10) ◽

pp. 1933-1944 ◽

Author(s):

S. Narendar ◽

S. Gopalakrishnan

Keyword(s):

Carbon Nanotubes ◽

Shell Model ◽

Elasticity Theory ◽

Ultrasonic Wave ◽

Nonlocal Elasticity ◽

Nonlocal Elasticity Theory ◽

Single Walled Carbon Nanotubes ◽

Wave Dispersion ◽

Dispersion Characteristics ◽

Walled Carbon Nanotubes

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Dynamic stability analysis of embedded multi-walled carbon nanotubes in thermal environment

Acta Mechanica Solida Sinica ◽

10.1016/s0894-9166(16)30007-6 ◽

2015 ◽

Vol 28 (6) ◽

pp. 659-667 ◽

Author(s):

R. Ansari ◽

R. Gholami ◽

S. Sahmani ◽

A. Norouzzadeh ◽

M. Bazdid-Vahdati

Keyword(s):

Carbon Nanotubes ◽

Stability Analysis ◽

Dynamic Stability ◽

Thermal Environment ◽

Multi Walled Carbon Nanotubes ◽

Walled Carbon Nanotubes

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Vibration Characteristics of Single-Walled Carbon Nanotubes Based on Nonlocal Elasticity Theory Using Wave Propagation Approach (WPA) Including Chirality

Perspective of Carbon Nanotubes ◽

10.5772/intechopen.85948 ◽

2019 ◽

Author(s):

Muzamal Hussain ◽

Muhammad Nawaz Naeem

Keyword(s):

Carbon Nanotubes ◽

Wave Propagation ◽

Elasticity Theory ◽

Nonlocal Elasticity ◽

Nonlocal Elasticity Theory ◽

Single Walled Carbon Nanotubes ◽

Vibration Characteristics ◽

Single Walled Carbon ◽

Walled Carbon Nanotubes

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Sound wave propagation in zigzag double-walled carbon nanotubes embedded in an elastic medium using nonlocal elasticity theory

Physica E Low-dimensional Systems and Nanostructures ◽

10.1016/j.physe.2012.11.006 ◽

2013 ◽

Vol 48 ◽

pp. 118-123 ◽

Author(s):

Youcef Gafour ◽

Mohamed Zidour ◽

Abdelouahed Tounsi ◽

Houari Heireche ◽

Abdelwahed Semmah

Keyword(s):

Carbon Nanotubes ◽

Wave Propagation ◽

Elastic Medium ◽

Elasticity Theory ◽

Nonlocal Elasticity ◽

Nonlocal Elasticity Theory ◽

Double Walled Carbon Nanotubes ◽

Walled Carbon Nanotubes

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Three-dimensional asymptotic nonlocal elasticity theory for the free vibration analysis of embedded single-walled carbon nanotubes

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.03.006 ◽

2020 ◽

Vol 80 (1) ◽

pp. 161-182 ◽

Author(s):

Chih-Ping Wu ◽

Yen-Jung Chen ◽

Yung-Ming Wang

Keyword(s):

Carbon Nanotubes ◽

Free Vibration ◽

Elasticity Theory ◽

Nonlocal Elasticity ◽

Vibration Analysis ◽

Three Dimensional ◽

Free Vibration Analysis ◽

Nonlocal Elasticity Theory ◽

Single Walled Carbon Nanotubes ◽

Walled Carbon Nanotubes

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Stochastic FEM on nonlinear vibration of fluid-loaded double-walled carbon nanotubes subjected to a moving load based on nonlocal elasticity theory

Composites Part B Engineering ◽

10.1016/j.compositesb.2013.06.012 ◽

2013 ◽

Vol 54 ◽

pp. 391-399 ◽

Author(s):

T.-P. Chang

Keyword(s):

Carbon Nanotubes ◽

Nonlinear Vibration ◽

Elasticity Theory ◽

Nonlocal Elasticity ◽

Moving Load ◽

Nonlocal Elasticity Theory ◽

Stochastic Fem ◽

Double Walled Carbon Nanotubes ◽

Walled Carbon Nanotubes

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DYNAMICAL PROPERTIES OF MULTI-WALLED CARBON NANOTUBES BASED ON A NONLOCAL ELASTICITY MODEL

International Journal of Modern Physics B ◽

10.1142/s0217979208049169 ◽

2008 ◽

Vol 22 (28) ◽

pp. 4975-4986 ◽

Author(s):

Y. YAN ◽

L. X. ZHANG ◽

W. Q. WANG ◽

X. Q. HE ◽

C. M. WANG

Keyword(s):

Carbon Nanotubes ◽

Nonlocal Elasticity ◽

Nonlocal Elasticity Theory ◽

Length Scale ◽

Small Length ◽

Small Length Scale ◽

Aspect Ratios ◽

Multi Walled Carbon Nanotubes ◽

Double Walled Carbon Nanotubes ◽

Walled Carbon Nanotubes

This paper investigates the free vibration of multi-walled carbon nanotubes (MWCNTs) with simply supported ends. Based on the nonlocal elasticity theory which allows the effects of small length scale and the more refined van der Waals (vdW) interaction formulas, the equation of motion is first derived and then solved analytically. The results reveal that the effects of the small length scale are significant for small aspect ratios and high radial vibration modes, and are instead insensitive to the number of layers of MWCNTs and weakly dependent on the wall thickness of MWNTs. This finding means that the effects of small length scale on complicated MWCNTs may be simplified to double-walled carbon nanotubes (DWCNTs) or even single-walled carbon nanotubes (SWCNTs).

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