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http://dx.doi.org/10.12989/scs.2014.17.3.321

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)
Publication Information
Steel and Composite Structures / v.17, no.3, 2014 , pp. 321-338 More about this Journal
Abstract
In the present study, a new simple first-order shear deformation theory is presented for laminated composite plates. Moreover, the number of unknowns of this theory is the least one comparing with the traditional first-order and the other higher-order shear deformation theories. Equations of motion and boundary conditions are derived from Hamilton's principle. Analytical solutions of simply supported antisymmetric cross-ply and angle-ply laminates are obtained and the results are compared with the exact three-dimensional (3D) solutions and those predicted by existing theories. It can be concluded that the proposed theory is accurate and simple in solving the static bending and free vibration behaviors of laminated composite plates.
Keywords
laminated composite plate; plate theory; bending; vibration;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
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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