Abstract.
In this article, vibration characteristics of multilayered plates in a hygrothermal environment are discussed. The analysis considers the reduced properties of the lamina material at high concentrations of moisture and temperature. The multilayered plate is modelled in the context of a refined hyperbolic shear deformation theory that contains hygrothermal effects. The numerical results for dimensionless natural frequencies of multilayered composites under the action of both temperature and moisture concentration are investigated.
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References
J.M. Whitney, J.E. Ashton, AIAA J. 9, 1708 (1971)
B.P. Patel, M. Ganapathi, D.P. Makheeha, Compos. Struct. 56, 25 (2002)
K.S. Sai Ram, P.K. Sinha, J. Sound Vib. 158, 133 (1992)
K.S. Sai Ram, P.K. Sinha, AIAA J. 30, 2353 (1992)
H.S. Shen, Int. J. Mech. Sci. 43, 1259 (2001)
A.M. Zenkour, Acta Mech. 171, 171 (2001)
A.M. Zenkour, M.N.M. Allam, A.F. Radwan, Arch. Civ. Mech. Eng. 14, 144 (2014)
S. Natarajan, P.S. Deogekar, G. Manickam, S. Belouettar, Compos. Struct. 108, 848 (2014)
A.M. Zenkour, Compos. Struct. 94, 3685 (2012)
A.M. Zenkour, J. Mech. Mater. Struct. 7, 687 (2012)
A.M. Zenkour, AIAA J. 52, 1466 (2014)
A.M. Zenkour, Appl. Math. Model. 38, 6133 (2014)
A.M. Zenkour, Int. J. Mech. Mater. Design 13, 515 (2017)
A.M. Zenkour, Thin-Walled Struct. 123, 333 (2018)
H.S. Shen, J. Solids Struct. 38, 6357 (2001)
H.S. Shen, Compos. Struct. 56, 73 (2002)
X.L. Huang, H.S. Shen, J.J. Zheng, Compos. Sci. Technol. 64, 1419 (2004)
M. Bouazza, A. Tounsi, A. Benzair, E.A. Adda-bedia, Mater. Design 28, 1116 (2007)
A.E. Adda-Bedia, M. Bouazza, A. Tounsi, A. Benzair, M. Maacho, J. Mater. Process. Technol. 199, 199 (2008)
S. Emam, M.A. Eltaher, Compos. Struct. 152, 665 (2016)
T.R. Mahapatra, S.K. Panda, V.R. Kar, Mech. Adv. Mater. Struct. 23, 1343 (2016)
T.R. Mahapatra, S.K. Panda, V.R. Kar, Int. J. Comput. Methods 13, 1650015 (2016)
T.R. Mahapatra, S.K. Panda, Aerospace Sci. Technol. 49, 276 (2016)
R. Mahapatra, S.K. Panda, S. Dash, IOP Conf. Ser.: Mater. Sci. Eng. 149, 012151 (2016)
N.D. Duc, Nonlinear Static and Dynamic Stability of Functionally Graded Plates and Shells (Vietnam National University Press, Hanoi, 2014)
E. Reissner, J. Appl. Mech. 12, 69 (1945)
R.D. Mindlin, J. Appl. Mech. 18, 31 (1951)
E. Reissner, J. Math. Phys. 23, 184 (1944)
J.N. Reddy, J. Appl. Mech. 51, 745 (1984)
E. Carrera, Appl. Mech. Rev. 54, 301 (2001)
M. Karama, K.S. Afaq, S. Mistou, Int. J. Solids Struct. 40, 1525 (2003)
M. Aydogdu, Compos. Struct. 89, 94 (2009)
N.D. Duc, V.D. Quang, P.D. Nguyen, T.M. Chien, J. Appl. Comput. Mech. (2018) https://doi.org/10.22055/JACM.2018.23219.1151
P.H. Cong, V.M. Anh, N.D. Duc, J. Therm. Stresses 40, 704 (2017)
N.D. Duc, P.H. Cong, J. Vib. Cont. 21, 637 (2015)
N.D. Duc, P.H. Cong, Cog. Eng. 2, 1045222 (2015)
R.P. Shimpi, AIAA J. 40, 137 (2002)
R.P. Shimpi, H.G. Patel, Int. J. Solids Struct. 43, 6783 (2006)
R.P. Shimpi, H.G. Patel, J. Sound Vib. 296, 979 (2006)
S.E. Kim, H.T. Thai, J. Lee, Thin Wall. Struct. 47, 455 (2009)
H.T. Thai, S.E. Kim, Int. J. Mech. Sci. 52, 626 (2010)
M. Bouazza, A. Lairedj, N. Benseddiq, S. Khalki, Mech. Res. Commun. 73, 117 (2016)
M. Touratier, Int. J. Eng. Sci. 29, 901 (1991)
A. Toledano, H. Murakami, Int. J. Solids Struct. 23, 111 (1987)
E. Carrera, Appl. Mech. Rev. 56, 287 (2003)
A.M. Zenkour, Mech. Adv. Mater. Struct. 19, 551 (2012)
Z. Wu, Q. Xu, S. Lu, X. Ren, Compos. Struct. 152, 546 (2016)
K. Swaminathan, S.S. Patil, Compos. Struct. 82, 209 (2008)
H.-S. Shen, J.J. Zheng, X.L. Huang, Compos. Struct. 60, 57 (2003)
A. Lal, B.N. Singh, J. Thermoplast. Compos. Mater. 23, 57 (2010)
C.F. Liu, C.H. Huang, Comput. Struct. 60, 95 (1996)
C.-S. Chen, C.-W. Chen, W.-R. Chen, Y.-C. Chang, Meccanica 48, 2311 (2013)
P. Ribeiro, E. Jansen, J. Sound Vib. 315, 626 (2008)
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Bouazza, M., Zenkour, A.M. Free vibration characteristics of multilayered composite plates in a hygrothermal environment via the refined hyperbolic theory. Eur. Phys. J. Plus 133, 217 (2018). https://doi.org/10.1140/epjp/i2018-12050-x
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DOI: https://doi.org/10.1140/epjp/i2018-12050-x