A novel first-order shear deformation theory for laminated composite plates |
Sadoune, Mohamed
(Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department)
Tounsi, Abdelouahed (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department) Houari, Mohammed Sid Ahmed (Advanced Materials and Structures Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department) Adda Bedia, El Abbes (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department) |
1 | Mindlin, R.D. (1951), "Influence of rotary inertia and shear on flexural motions of isotropic, elastic plates", J. Appl. Mech., 18, 31-38. |
2 | Moradi, S. and Mansouri, M.H. (2012), "Thermal buckling analysis of shear deformable laminated orthotropic plates by differential quadrature", Steel Compos. Struct., Int. J., 12(2), 129-147. DOI |
3 | Nelson, R.B. and Lorch, D.R. (1974), "A refined theory of laminated orthotropic plates", J. Appl. Mech., 41(1), 177-183. DOI |
4 | Noor, A.K. and Burton, W.S. (1990), "Three-dimensional solutions for antisymmetrically solutions for antisymmetrically laminated anisotropic plates", J. Appl. Mech., 57(1), 182-188. DOI |
5 | Pagano, N.J. (1970), "Exact solutions for rectangular bidirectional composites and sandwich plates", J. Compos. Mater., 4(1), 20-34. |
6 | Ray, M.C. (2003), "Zeroth-order shear deformation theory for laminated composite plates", J. Appl. Mech., 70(3), 374-380. DOI ScienceOn |
7 | Reddy, J.N. (1984), "A simple higher order theory for laminated composite plates", J. Appl. Mech., 51(4), 745-752. DOI |
8 | Reddy, J.N. (1997), "Mechanics of laminated composite plate: Theory and analysis", CRC Press, New York. |
9 | Reddy, J.N. (2000), "Analysis of functionally graded plates", Int. J. Numer. Method. Eng., 47, 663-684. DOI |
10 | Reddy, J.N. (2002), Energy Principles and Variational Methods in Applied Mechanics, John Wiley & Sons Inc. |
11 | Reddy, J.N. (2004), Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, CRC Press. |
12 | Reissner, E. (1945), "The effect of transverse shear deformation on the bending of elastic plates," J. Appl. Mech., 12, 69-77. |
13 | Yaghoobi, H. and Torabi, M. (2013a), "Post-buckling and nonlinear free vibration analysis of geometrically imperfect functionally graded beams resting on nonlinear elastic foundation", Appl. Math. Model., 37(18- 19), 8324-8340. DOI |
14 | Swaminathan, K. and Patil, S. (2008), "Analytical solutions using a higher order refined computational model with 12 degrees of freedom for the free vibration analysis of antisymmetric angle-ply plates", Compos. Struct., 82(2), 209-216. DOI |
15 | Xiang, S. and Kang, G.W. (2013), "A nth-order shear deformation theory for the bending analysis on the functionally graded plates", Eur. J. Mech. - A/Solids, 37, 336-343. DOI |
16 | Xiang, S., Jin, Y.X., Bi, Z.Y., Jiang, S.X. and Yang, M.S. (2011), "A n-order shear deformation theory for free vibration of functionally graded and composite sandwich plates", Compos. Struct., 93(11), 2826-2832. DOI ScienceOn |
17 | Yaghoobi, H. and Torabi, M. (2013b), "An analytical approach to large amplitude vibration and post-buckling of functionally graded beams rest on non-linear elastic foundation", J. Theor. Appl. Mech., 51(1), 39-52. |
18 | Yaghoobi, H. and Torabi, M. (2013c), "Exact solution for thermal buckling of functionally graded plates resting on elastic foundations with various boundary conditions", J. Therm. Stresses, 36(9), 869-894. DOI |
19 | Yaghoobi, H. and Yaghoobi, P. (2013), "Buckling analysis of sandwich plates with FGM face sheets resting on elastic foundation with various boundary conditions: an analytical approach", Meccanica, 48(8), 2019-2035. DOI ScienceOn |
20 | Bouderba, B., Houari, M.S.A. and Tounsi, A. (2013), "Thermomechanical bending response of FGM thick plates resting on Winkler-Pasternak elastic foundations", Steel Compos. Struct., Int. J., 14(1), 85-104. DOI ScienceOn |
21 | Benachour, A., Daouadji Tahar, H., Ait Atmane, H., Tounsi, A. and Meftah, S.A. (2011), "A four variable refined plate theory for free vibrations of functionally graded plates with arbitrary gradient", Compos. Part B: Engineering, 42(6), 1386-1394. DOI ScienceOn |
22 | Bodaghi, M. and Saidi, A.R. (2011), "Thermoelastic buckling behavior of thick functionally graded rectangular plates", Arch. Appl. Mech., 81(11), 1555-1572. DOI |
23 | Fares, M.E., Elmarghany, M.K. and Atta, D. (2009), "An efficient and simple refined theory for bending and vibration of functionally graded plates", Compos. Struct., 91(3), 296-305. DOI |
24 | Hencky, H. (1947), "Uber die Berucksichtigung der Schubverzerrungen in ebenen Platen", Ing. Arch., 16(1), 344-351. |
25 | Jones, R.M. (1999), Mechanics of Composite Materials, (2nd Ed.), Taylor & Francis. |
26 | Lo, K.H., Christensen, R.M. and Wu, E.M. (1977), "A higher order theory of plate deformation - Part I. Homogeneous plate", J. Appl. Mech., 44(4), 663-668. DOI |
27 | Levy, M. (1977), "Memoire sur la theorie des plaques elastiques planes", J. Math. Pures et Appl., 3, 219-306. |
28 | Matsunaga, H. (2000), "Vibration and stability of cross-ply laminated composite plates according to a global higher-order plate theory", Compos. Struct., 48(4), 231-244. DOI ScienceOn |
29 | Noor, A.K. (1973), "Free vibrations of multilayered composite plates", AIAA J., 11(7), 1038-1039. DOI ScienceOn |
30 | Bakhti, K., Kaci, A., Bousahla, A.A., Houari, M.S.A., Tounsi, A. and Adda Bedia, E.A. (2013), "Large deformation analysis for functionally graded carbon nanotube-reinforced composite plates using an efficient and simple refined theory", Steel Compos. Struct., Int. J., 14(4), 335-347. DOI |