Effect of van der Waals force on wave propagation in viscoelastic double-walled carbon nanotubes

In this paper, the influence of van der Waals force on the wave propagation in viscoelastic double-walled carbon nanotubes (DWCNTs) is investigated. The governing equations of wave motion are derived based on the nonlocal strain gradient theory and double-walled Timoshenko beam model. The effects of viscosity, van der Waals force, as well as size effects on the wave propagation in DWCNTs are clarified. The results show that effects of van der Waals force on waves in inner and outer layers of DWCNTs are different. Flexural wave (FW) in outer layer and shear wave (SW) in inner layer are sensitive to van der Waals force, and display new phenomena. This new finding may provide some useful guidance in the acoustic design of nanostructures with DWCNTs as basic elements.

[1]  A. Rajabpour,et al.  Calibration of nonlocal strain gradient shell model for vibration analysis of a CNT conveying viscous fluid using molecular dynamics simulation , 2018, Computational Materials Science.

[2]  Li Li,et al.  On longitudinal dynamics of nanorods , 2017 .

[3]  Li Li,et al.  Twisting statics of functionally graded nanotubes using Eringen’s nonlocal integral model , 2017 .

[4]  Li Li,et al.  Closed form solution for a nonlocal strain gradient rod in tension , 2017 .

[5]  Abdelouahed Tounsi,et al.  Free vibration analysis of embedded nanosize FG plates using a new nonlocal trigonometric shear deformation theory , 2017 .

[6]  Y. Beni,et al.  Wave propagation in double-walled carbon nanotube conveying fluid considering slip boundary condition and shell model based on nonlocal strain gradient theory , 2017 .

[7]  Lin Zhou,et al.  Wave propagation in fluid-conveying viscoelastic carbon nanotubes under longitudinal magnetic field with thermal and surface effect via nonlocal strain gradient theory , 2017 .

[8]  Y. Liu,et al.  Wave dispersion in viscoelastic single walled carbon nanotubes based on the nonlocal strain gradient Timoshenko beam model , 2017 .

[9]  Yaxin Zhen.  Wave propagation in fluid-conveying viscoelastic single-walled carbon nanotubes with surface and nonlocal effects , 2017 .

[10]  Y. Lei,et al.  Vibration analysis of horn-shaped single-walled carbon nanotubes embedded in viscoelastic medium under a longitudinal magnetic field , 2016 .

[11]  Y. Liu,et al.  Viscoelastic wave propagation in the viscoelastic single walled carbon nanotubes based on nonlocal strain gradient theory , 2016 .

[12]  Abdelouahed Tounsi,et al.  A novel five-variable refined plate theory for vibration analysis of functionally graded sandwich plates , 2016 .

[13]  N. A. Sakharova,et al.  Numerical simulation study of the elastic properties of single-walled carbon nanotubes containing vacancy defects , 2016 .

[14]  M. Hosseini,et al.  Effects of nonlocal elasticity and slip condition on vibration and stability analysis of viscoelastic cantilever carbon nanotubes conveying fluid , 2016 .

[15]  A. Tounsi,et al.  A nonlocal zeroth-order shear deformation theory for free vibration of functionally graded nanoscale plates resting on elastic foundation , 2016 .

[16]  Abdelouahed Tounsi,et al.  A new hyperbolic shear deformation theory for bending and free vibration analysis of isotropic, functionally graded, sandwich and laminated composite plates , 2015 .

[17]  J. Reddy,et al.  A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation , 2015 .

[18]  S. R. Mahmoud,et al.  On vibration properties of functionally graded nano-plate using a new nonlocal refined four variable model , 2015 .

[19]  O. Anwar Bég,et al.  An efficient and simple higher order shear and normal deformation theory for functionally graded material (FGM) plates , 2014 .

[20]  Abdelouahed Tounsi,et al.  An efficient and simple refined theory for buckling and free vibration of exponentially graded sandwich plates under various boundary conditions , 2014 .

[21]  H. Ouyang,et al.  Wave characteristics of single-walled fluid-conveying carbon nanotubes subjected to multi-physical fields , 2013 .

[22]  Xian‐Fang Li,et al.  Flexural waves in multi-walled carbon nanotubes using gradient elasticity beam theory , 2013 .

[23]  A. Tounsi,et al.  Sound wave propagation in zigzag double-walled carbon nanotubes embedded in an elastic medium using nonlocal elasticity theory , 2013 .

[24]  A. G. Arani,et al.  Nonlinear nonlocal vibration of embedded DWCNT conveying fluid using shell model , 2013 .

[25]  M. A. McCarthy,et al.  Vibration response of double-walled carbon nanotubes subjected to an externally applied longitudinal magnetic field: A nonlocal elasticity approach , 2012 .

[26]  K. Hata,et al.  Carbon Nanotubes with Temperature‐Invariant Creep and Creep‐Recovery from −190 to 970 °C , 2011, Advanced materials.

[27]  Mohammed Sid Ahmed Houari,et al.  Thermal effect on wave propagation in double-walled carbon nanotubes embedded in a polymer matrix using nonlocal elasticity , 2011 .

[28]  Lixiang Zhang,et al.  Wave propagation in double-walled carbon nanotubes on a novel analytically nonlocal Timoshenko-beam model , 2011 .

[29]  L. Ke,et al.  Flow-induced vibration and instability of embedded double-walled carbon nanotubes based on a modified couple stress theory , 2011 .

[30]  K. Hata,et al.  Carbon Nanotubes with Temperature-Invariant Viscoelasticity from –196° to 1000°C , 2010, Science.

[31]  K. Kishimoto,et al.  Wave propagation characteristics in fluid-conveying double-walled nanotubes with scale effects , 2010 .

[32]  S. Narendar,et al.  Terahertz wave characteristics of a single-walled carbon nanotube containing a fluid flow using the nonlocal Timoshenko beam model , 2010 .

[33]  S. Kitipornchai,et al.  Nonlinear free vibration of embedded double-walled carbon nanotubes based on nonlocal Timoshenko beam theory , 2009 .

[34]  J. Hsu,et al.  Thermal buckling of double-walled carbon nanotubes , 2009 .

[35]  Abdelouahed Tounsi,et al.  Effect of small size on wave propagation in double-walled carbon nanotubes under temperature field , 2008 .

[36]  Win-Jin Chang,et al.  Free transverse vibration of the fluid-conveying single-walled carbon nanotube using nonlocal elastic theory , 2008 .

[37]  X. Liu,et al.  Thermal effect on transverse vibrations of double-walled carbon nanotubes , 2007 .

[38]  H. P. Lee,et al.  Application of nonlocal beam models for carbon nanotubes , 2007 .

[39]  L. Raff,et al.  A comparison of different methods of Young’s modulus determination for single-wall carbon nanotubes (SWCNT) using molecular dynamics (MD) simulations , 2006 .

[40]  Quan Wang,et al.  Scale effect on wave propagation of double-walled carbon nanotubes , 2006 .

[41]  Quan Wang,et al.  Wave propagation in carbon nanotubes via nonlocal continuum mechanics , 2005 .

[42]  Haiyan Hu,et al.  FLEXURAL WAVE PROPAGATION IN SINGLE-WALLED CARBON NANOTUBES , 2005 .

[43]  C. Ru,et al.  Timoshenko-beam effects on transverse wave propagation in carbon nanotubes , 2004 .

[44]  L. Sudak,et al.  Column buckling of multiwalled carbon nanotubes using nonlocal continuum mechanics , 2003 .

[45]  Fan Yang,et al.  Experiments and theory in strain gradient elasticity , 2003 .

[46]  A. Mioduchowski,et al.  Sound wave propagation in multiwall carbon nanotubes , 2003 .

[47]  W. D. Heer,et al.  Electrostatic deflections and electromechanical resonances of carbon nanotubes , 1999, Science.

[48]  V. Crespi,et al.  Plastic Deformations of Carbon Nanotubes , 1998 .

[49]  Nan Yao,et al.  Carbon nanotube caps as springs: Molecular dynamics simulations , 1998 .

[50]  Nan Yao,et al.  Young’s modulus of single-walled carbon nanotubes , 1998 .

[51]  T. Yamabe.  Recent development of carbon nanotube , 1995 .

[52]  S. Iijima.  Helical microtubules of graphitic carbon , 1991, Nature.

[53]  A. Eringen.  On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves , 1983 .

[54]  A. Cemal Eringen,et al.  Linear theory of nonlocal elasticity and dispersion of plane waves , 1972 .

[55]  S. R. Mahmoud,et al.  An efficient hyperbolic shear deformation theory for bending, buckling and free vibration of FGM sandwich plates with various boundary conditions , 2017 .

[56]  Li Li,et al.  Wave propagation in viscoelastic single-walled carbon nanotubes with surface effect under magnetic field based on nonlocal strain gradient theory , 2016 .

[57]  H. R. Mirdamadi,et al.  Wave propagation analysis of carbon nano-tube conveying fluid including slip boundary condition and strain/inertial gradient theory , 2013 .