Abstract.
In the present work, wave propagation characteristics of circular cylindrical nanoshells made of functionally graded materials are investigated. Material properties of the nanoshells are graded in the thickness direction according to the power-law distribution. The Flügge shell theory together with the nonlocal elasticity theory is employed to model the present system. The wave dispersion relations with respect to the wave number in the longitudinal and circumferential directions are derived. In addition, a parametric study is carried out to highlight the influences of the power-law exponent, the wave number, the nonlocal parameter and the radius-to-thickness ratio. The results indicate that these parameters have a significant effect on the wave propagation characteristics of functionally graded material (FGM) cylindrical nanoshells.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
M. Koizumi, Composites Part B 28, 1 (1997)
G.L. She, K.M. Yan, Y.L. Zhang, H.B. Liu, Y.R. Ren, Eur. Phys. J. Plus 133, 368 (2018)
Y.Q. Wang, J.W. Zu, Compos. Struct. 164, 130 (2017)
S.C. Pradhan, C.T. Loy, K.Y. Lam, J.N. Reddy, Appl. Acoust. 61, 111 (2000)
Y.Q. Wang, Acta Astronaut. 143, 263 (2018)
Y.Q. Wang, J.W. Zu, Aerospace Sci. Technol. 69, 550 (2017)
H. Aminipour, M. Janghorban, L. Li, Compos. Struct. 190, 91 (2018)
W. Zhang, Y.X. Hao, J. Yang, Compos. Struct. 94, 1075 (2012)
H. Huang, Q. Han, Eur. J. Mech. A/Solids 29, 42 (2010)
C.M. Craciunescu, M. Wuttig, J. Optoelectron. Adv. Mater. 5, 139 (2003)
Y. Fu, H. Du, W. Huang, S. Zhang, M. Hu, Sensors Actuat. A 112, 395 (2004)
Z. Lee, C. Ophus, L.M. Fischer, N. Nelson-Fitzpatrick, K.L. Westra, S. Evoy, V. Radmilovic, U. Dahmen, D. Mitlin, Nanotechnology 17, 3063 (2006)
X. Li, B. Bhushan, K. Takashima, C.W. Baek, Y.K. Kim, Ultramicroscopy 97, 481 (2003)
Y. Fu, H. Du, S. Zhang, Mater. Lett. 57, 2995 (2003)
H.M. Sedighi, F. Daneshmand, M. Abadyan, Compos. Struct. 132, 545 (2015)
A. Witvrouw, A. Mehta, Mater. Sci. Forum 492--493, 255 (2005)
X.L. Jia, J. Yang, S. Kitipornchai, C.W. Lim, Appl. Math. Model. 36, 1875 (2012)
M. Arefi, A.M. Zenkour, Mod. Phys. Lett. B 32, 1 (2018)
K. Mohammadi, M. Mahinzare, K. Ghorbani, M. Ghadiri, Microsyst. Technol. 24, 1133 (2017)
C.S. Zhu, X.Q. Fang, J.X. Liu, Int. J. Mech. Sci. 133, 662 (2017)
S. Sahmani, M.M. Aghdam, Int. J. Mech. Sci. 131--132, 95 (2017)
S. Sahmani, M.M. Aghdam, Compos. Struct. 178, 97 (2017)
J. Sun, C.W. Lim, Z. Zhou, X. Xu, W. Sun, J. Appl. Phys. 119, 214303 (2016)
M.H. Shojaeefard, H. Saeidi Googarchin, M. Mahinzare, M. Adibi, J. Intell. Mater. Syst. Struct. 29, 2344 (2018)
H. Zeighampour, M. Shojaeian, J. Braz. Soc. Mech. Sci. Eng. 39, 2789 (2017)
X.Q. Fang, C.S. Zhu, J.X. Liu, J. Zhao, Mater. Res. Express 5, 45017 (2018)
Y.G. Hu, K.M. Liew, Q. Wang, X.Q. He, B.I. Yakobson, J. Mech. Phys. Solids 56, 3475 (2008)
H. Zeighampour, Y.T. Beni, I. Karimipour, Microfluid. Nanofluid. 21, 1 (2017)
H. Zeighampour, Y. Tadi Beni, M. Botshekanan Dehkordi, Thin-Walled Struct. 122, 378 (2018)
L.H. Ma, L.L. Ke, J.N. Reddy, J. Yang, S. Kitipornchai, Y.S. Wang, Compos. Struct. 199, 10 (2018)
Q. Wang, V.K. Varadan, Smart Mater. Struct. 16, 178 (2007)
Y.S. Touloukian, Thermophysical Properties of High Temperature Solid Materials (Macmillian, New York, 1967)
W. Zhang, J. Yang, Y.X. Hao, Nonlinear Dyn. 59, 619 (2010)
Y.Q. Wang, Y.H. Wan, J.W. Zu, Thin-Walled Struct. 135, 537 (2019)
A.C. Eringen, Nonlocal Polar Field Models (Academic, New York, 1976)
A.C. Eringen, J. Appl. Phys. 54, 4703 (1983)
W. Flügge, Stresses in Shells (1960)
J.N. Reddy, C.D. Chin, J. Therm. Stresses 21, 593 (1998)
Y. Tadi Beni, F. Mehralian, H. Razavi, Compos. Struct. 120, 65 (2015)
F. Mehralian, Y.T. Beni, Composites Part B 94, 11 (2016)
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
The EPJ Publishers remain neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Wang, Y.Q., Liang, C. & Zu, J.W. Wave propagation in functionally graded cylindrical nanoshells based on nonlocal Flügge shell theory. Eur. Phys. J. Plus 134, 233 (2019). https://doi.org/10.1140/epjp/i2019-12543-0
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/i2019-12543-0