Abstract.
In this paper, wave propagation in carbon nanotube reinforced composite (CNTRC) beams has been studied. Winkler elastic foundation is considered as a base for the CNTRC beam. Besides, four distribution patterns for single-walled carbon nanotubes (SWCNT) in a polymer matrix were investigated. To use the simplified mechanical properties of CNTRCs, the rule of mixture was employed. It was tried to compare the different shear deformation theories, from the previous investigations. Next, the governing equations were derived by the extended Hamilton’s principle, which was obtained from the energy methods, and was solved analytically. To validate the results, the research was confirmed by previous investigations. It is hoped that the results of the current paper can be used in future studies on wave propagation.
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F. Ebrahimi, S. Habibi, Mech. Adv. Mater. Struct. 25, 425 (2018)
M. Kim, Y.B. Park, O.I. Okoli, C. Zhang, Compos. Sci. Technol. 69, 335 (2009)
H. Zarei, M. Fallah, H. Bisadi, A. Daneshmehr, G. Minak, Compos. Part B: Eng. 113, 206 (2017)
H.S. Shen, C.L. Zhang, Mater. Design 31, 3403 (2010)
N. Fantuzzi, F. Tornabene, M. Bacciocchi, R. Dimitri, Compos. Part B: Eng. 115, 384 (2017)
H. Wu, S. Kitipornchai, J. Yang, Int. J. Struct. Stab. Dyn. 15, 1540011 (2015)
A.G. Arani, S. Maghamikia, M. Mohammadimehr, A. Arefmanesh, J. Mech. Sci. Technol. 25, 809 (2011)
T. Mori, K. Tanaka, Acta Metal. 21, 571 (1973)
G.J. Simitses, Appl. Mech. Rev. 40, 1403 (1987)
J.N. Reddy, Int. J. Numer. Methods Eng. 47, 663 (2000)
B.S. Aragh, A.N. Barati, H. Hedayati, Compos. Part B: Eng. 43, 1943 (2012)
A.G. Arani, M. Jamali, M. Mosayyebi, R. Kolahchi, Compos. Part B: Eng. 95, 209 (2016)
A.C. Eringen, D.G.B. Edelen, Int. J. Eng. Sci. 10, 233 (1972)
J. Kraus, Electromagnetics (McGraw Hill, 1953)
A. Ghorbanpour Arani, M. Jamali, M. Mosayyebi, R. Kolahchi, Proc. Inst. Mech. Eng., Part N: J. Nanomater. Nanoeng. Nanosyst. 231, 17 (2017)
M. Simşek, Nucl. Eng. Design 240, 697 (2010)
M.H. Yas, N. Samadi, Int. J. Pressure Vessels Piping 98, 119 (2012)
T. Yan, S. Kitipornchai, J. Yang, X.Q. He, Compos. Struct. 93, 2992 (2011)
A.N. Alizada, A.H. Sofiyev, Meccanica 46, 915 (2011)
A. Alibeigloo, K.M. Liew, Int. J. Appl. Mech. 7, 1550002 (2015)
W.Q. Chen, C.F. Lv, Z.G. Bian, Compos. Struct. 62, 75 (2003)
F. Lin, Y. Xiang, Appl. Math. Model. 38, 3741 (2014)
A.N. Alizada, A.H. Sofiyev, J. Reinf. Plast. Compos. 30, 1583 (2011)
A.N. Alizada, A.H. Sofiyev, N. Kuruoglu, Acta Mech. 223, 1371 (2012)
L.L. Ke, J. Yang, S. Kitipornchai, Compos. Struct. 92, 676 (2010)
K.M. Liew, Z.X. Lei, J.L. Yu, L.W. Zhang, Comput. Methods Appl. Mech. Eng. 268, 1 (2014)
F. Ebrahimi, S. Habibi, Mech. Adv. Mater. Struct. 25, 425 (2018)
F. Ebrahimi, A. Dabbagh, Eur. Phys. J. Plus 133, 151 (2018)
N. Wattanasakulpong, V. Ungbhakorn, Comput. Mater. Sci. 71, 201 (2013)
M. Janghorban, M.R. Nami, Mech. Adv. Mater. Struct. 24, 458 (2017)
M. Simşek, H.H. Yurtcu, Compos. Struct. 97, 378 (2013)
M. Touratier, Int. J. Eng. Sci. 29, 901 (1991)
K.P. Soldatos, Acta Mech. 94, 195 (1992)
S.A. Ambartsumian, Izv. Otd. Tech. Nauk. AN SSSR 5, 69 (1958)
M. Karama, K.S. Afaq, S. Mistou, Int. J. Solids Struct. 40, 1525 (2003)
E. Reissner, Appl. Mech. Rev. 38, 1453 (1985)
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Ebrahimi, F., Rostami, P. Wave propagation analysis of carbon nanotube reinforced composite beams. Eur. Phys. J. Plus 133, 285 (2018). https://doi.org/10.1140/epjp/i2018-12069-y
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DOI: https://doi.org/10.1140/epjp/i2018-12069-y