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http://dx.doi.org/10.12989/scs.2012.12.2.129

Thermal buckling analysis of shear deformable laminated orthotropic plates by differential quadrature  

Moradi, S. (Mechanical Engineering Department, Shahid Chamran University)
Mansouri, Mohammad Hassan (NIGC)
Publication Information
Steel and Composite Structures / v.12, no.2, 2012 , pp. 129-147 More about this Journal
Abstract
In this paper, the thermal buckling analysis of rectangular composite laminated plates is investigated using the Differential Quadrature (DQ) method. The composite plate is subjected to a uniform temperature distribution and arbitrary boundary conditions. The analysis takes place in two stages. First, pre-buckling forces due to a temperature rise are determined by using a membrane solution. In the second stage, the critical temperature is predicted based on the first-order shear deformation theory. To verify the accuracy of the method, several case studies were used and the numerical results were compared with those of other published literatures. Moreover, the effects of several parameters such as aspect ratio, fiber orientation, modulus ratio, and various boundary conditions on the critical temperature were examined. The results confirm the efficiency and accuracy of the DQ method in dealing with this class of engineering problems.
Keywords
thermal buckling; differential quadrature; shear deformation theory; composite plates;
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Times Cited By KSCI : 1  (Citation Analysis)  (Related Records In Web of Science)
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1 Bellman, R. and Casti, J. (1971), "Differential quadrature and long-term integration", J. Math. Anal. Appl. 10, 235-238.
2 Bert, C.W. and Malik, M., (1996), "Differential quadrature method in computational mechanics: A review", Appl. Mech. Rev., 49(1), 1-28.   DOI   ScienceOn
3 Chen, W.J., Lin, P.D. and Chen, L.W. (1991), "Thermal buckling behavior of thick composite laminated plates under nonuniform temperature distribution", Comput. Struct, 41(4), 637-645.   DOI   ScienceOn
4 Chia, C.Y. (1980), Nonlinear analysis of plates, McGraw-Hill, New York.
5 Dawe, D.J. and Ge, Y.S. (2000), "Thermal buckling of shear-deformable composite laminated plates by the spline finite strip method", Comput. Method. Appl. Mech. Eng., 185(2-4), 347-366.   DOI
6 Farid, M., Zahedinejad, P. and Malekzadeh, P. (2010), "Three-dimensional temperature dependent free vibration analysis of functionally graded material curved panels resting on two-parameter elastic foundation using a hybrid semi-analytic, differential quadrature method", Mater. Design, 31(1), 2-13.   DOI   ScienceOn
7 Hakimi, H. and Moradi, S. (2010), "Drillstring vibration analysis using differential quadrature method", J.PETROL. SCI. ENG, 70(3-4), 235-242.   DOI   ScienceOn
8 Hong, C.C. and Jane, K.C. (2003), "Shear deformation in thermal bending analysis of laminated plates by the GDQ method", Mech. Res. Commun., 30(2), 175-186.   DOI   ScienceOn
9 Hu, Y.J., Zhu, Y.Y. and Cheng, C.J. (2009), "DQM for dynamic response of fluid-saturated visco-elastic porous media", Inter. J. Solid. Struct., 46(7-8), 1667-1675.   DOI
10 Huang, N.N. and Tauchert, T.R. (1992), "Thermal buckling of clamped symmetric laminated plates", J. Thin-Wall. Struct., 13(4), 259-273.   DOI   ScienceOn
11 Jane, K.C. and Hong, C.C. (2000), "Thermal bending analysis of laminated orthotropic plates by the generalized differential quadrature method", Mech. Res. Commun., 27(2), 157-164.   DOI   ScienceOn
12 Kabir, H.R.H., Hamad, M.A.M., Al-Duaij, J. and John, M.J. (2007), "Thermal buckling response of all-edge clamped rectangular plates with symmetric angle-ply lamination". Compos. Struct., 79(1), 148-155.   DOI   ScienceOn
13 Kant, T. and Babu, C.S., (2000),"Thermal buckling analysis of skew fiber-reinforced composite and sandwich plates using shear deformable finite element models", Compos. Struct, 49(1),77-85.   DOI   ScienceOn
14 Karami, G. and Malekzadeh, P., (2006), "DQM free vibration analysis of moderately thick symmetric laminated plates with elastically restrained edges", Compos. Struct., 74(1), 415-442
15 Leissa, A.W. (1986), "Conditions for laminated plates to remain flat under inplane loading", Compos. Struct, 6(4), 261-270.   DOI   ScienceOn
16 Li, J.J. and Cheng, C.J. (2005), "Differential quadrature method for nonlinear vibration of orthotropic plates with finite deformation and transverse shear effect", J. Sound. Vib., 281(1-2), 295-305.   DOI
17 Prabhu, M.R. and Dhanaraj, R. (1994), "Thermal buckling of laminated composite plates", Comput. Struct, 53(5), 1193-1204.   DOI   ScienceOn
18 Lin, R.M., Lim, M.K. and Du, H. (1994), "Large deflection analysis of plates under thermal loading", Comput. Meth. Appl. Mech. Eng., 117(3-4), 381-390.   DOI   ScienceOn
19 Matsunaga, H. (2006), "Thermal buckling of angle-ply laminated composite and sandwich plates according to a global higher-order deformation theory", Compos. Struct., 72(2), 177-192.   DOI   ScienceOn
20 Matsunaga, H. (2007), "Thermal buckling of cross-ply laminated composite shallow shells according to a global higher-order deformation theory", Compos. Struct, 81(2), 210-221.   DOI   ScienceOn
21 Prakash, T., Singh, M.K. and Ganapathi, M. (2006), "Vibrations and thermal stability of functionally graded spherical caps", Struct. Eng. Mech, 24(4), 447-462.   DOI
22 Qatu, M.S. and Leissa, A.W. (1993), "Buckling or transverse deflections of unsymmetrically laminated plates subjected to in-plane loads", AIAA Journal, 31(1), 189-194.   DOI
23 Shariyat, M. (2007), "Thermal buckling analysis of rectangular composite plates with temperature-dependent properties based on a layerwise theory", Thin-Wall. Struct., 45(4), 439-452.   DOI   ScienceOn
24 Shiau, L.C, Kuo, S.Y. and Chen, C.Y. (2010), "Thermal buckling behavior of composite laminated plates", Compos. Struct, 92(2), 508-514.   DOI   ScienceOn
25 Shu, C. and Richards, B.E., (1992), "Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations", Int. J. Numer. Meth. Fluids, 15(7), 791-798.   DOI
26 Sun, L.X. and Hsu, T.R. (1990), "Thermal buckling of laminated composite plates with transverse shear deformation", Compu. Struct, 36(5), 883-889.   DOI   ScienceOn
27 Thangaratnam, K.R., Palaninathan, J. and Ramachandran, J. (1989), "Thermal buckling of composite laminated plates", Comput. Struct, 32(5), 1117-1124.   DOI   ScienceOn
28 Whitney, J.M. (1987), Structural analysis of laminated anisotropic plates, Technomic, Lancaster, USA.