This study presents the thermoelastic analysis of laminated composite plates subjected to sinusoidal thermal load linearly varying across the thickness. Analytical solutions for thermal displacements and stresses are investigated by using a unified plate theory which includes different functions in terms of thickness coordinate to represent the effect of shear deformation. The theory presented is variationally consistent, does not require shear correction factor, and gives rise to transverse shear stress variation such that the transverse shear stresses vary parabolically across the thickness satisfying shear stress free surface conditions. Governing equations of equilibrium and associated boundary conditions of the theory are obtained using the principle of virtual work. The Navier solution for simply supported laminated composite plates has been developed. Numerical results are presented to demonstrate the thermal response of the laminated composite plates.
 Jones R. M. , Mechanics of composite materials, Hemi. Publication Corp. New York. 1975 Search in Google Scholar
 Wu C. H., Tauchert T. R., Thermoelastic analysis of laminated plates 2: antisymmetric cross-ply and angle-ply laminates, Journal of Thermal Stresses, 1980, 3, 365-378. 10.1080/01495738008926975Search in Google Scholar
 Vel S. S., Batra R. C., The generalized plane strain deformations of thick anisotropic composite laminated plates, Int. Journal of Solids and Structures, 2000, 37, 715-733. 10.1016/S0020-7683(99)00040-2Search in Google Scholar
 Mindlin R. D., Influence of rotatory inertia and shear on flexural vibrations of isotropic elastic plates, ASME Journal of Applied Mechanics, 1951, 18, 31-38. 10.1115/1.4010217Search in Google Scholar
 Reddy J. N., Mechanics of laminated composite plates: theory and analysis, CRC Press, Inc, New York. 1997. Search in Google Scholar
 Khdeir A. A., Reddy J. N., Thermal stresses and deflections of cross-ply laminated plates using refined plate theories, Journal of Thermal Stresses, 1991, 14, 419-438. 10.1080/01495739108927077Search in Google Scholar
 Murakami H., Assessment of plate theories for treating the thermo-mechanical response of layered plates, Composites Engineering, 1993, 3, 137-149. 10.1016/0961-9526(93)90038-LSearch in Google Scholar
 Noor A.K ., Burton W. S., Computational models for hightemperature multilayered composite plates and shells, ASME Journal of Applied Mechanics, 1992, 45, 419-446. 10.1115/1.3119742Search in Google Scholar
 Tungikar V. B., Rao K. M., Three dimensional exact solution of thermal stresses in rectangular composite laminate, Composite Structures, 1994, 27, 419-430. 10.1016/0263-8223(94)90268-2Search in Google Scholar
 Noor A. K., Kim Y. H., Peters J. M., Transverse shear stresses and their sensitivity coeflcients in multilayered composite panels, AIAA Journal 1994, 32, 1259-1269. 10.2514/3.12128Search in Google Scholar
 Savoia M., Reddy J. N., Three-dimensional thermal analysis of laminated composite plates, Int. Journal of Solids and Structures, 1995, 32, 593-608. 10.1016/0020-7683(94)00146-NSearch in Google Scholar
 Savoia M., Reddy J. N., Three-dimensional thermal analysis of laminated composite plates-closure, Int. Journal of Solids and Structures, 1997, 34, 4653-4654. Search in Google Scholar
 Pantano A., Averill R., A 3D zig-zag sublaminate model for analysis of thermal stresses in laminated composite and sandwich plates, Journal of Sandwich Structure Materials, 2000, 2, 288- 312. 10.1177/109963620000200307Search in Google Scholar
 Fares M. E., Zenkour A. M., El-Marghany M. Kh., A Non-linear thermal effects on the bending response of cross-ply laminated plates using refined first-order theory, Composite Structures, 2000, 49, 257-267. 10.1016/S0263-8223(99)00137-3Search in Google Scholar
 Rohwer K., Rolfes R., Sparr H., Higher order theories for thermal stresses in layered plate, Int. Journal of Solids and Structures, 2001, 38(21), 3673-3687 10.1016/S0020-7683(00)00249-3Search in Google Scholar
 Zenkour A. M., Analytical solution for bending of cross-ply laminated plates under thermo-mechanical loading, Composite Structures, 2004, 65, 367-379. 10.1016/j.compstruct.2003.11.012Search in Google Scholar
 Matsunaga H., A comparison between 2-D single-layer and 3-D layerwise theories for computing interlaminar stresses of laminated composite and sandwich plates subjected to thermal loadings, Composite Structures, 2004, 64, 161-177. 10.1016/j.compstruct.2003.08.001Search in Google Scholar
 Carrera E., Ciuffreda A., Closed-form solutions to assess multilayered-plate theories for various thermal stress problems, Journal of Thermal Stresses, 2004, 27, 1001-1031. 10.1080/01495730490498584Search in Google Scholar
 Kapuria S., Achary G. G .S., An eflcient higher order zig-zag theory for laminated plates subjected to thermal loading, Int. Journal of Solids and Structures, 2004, 41,4661-4684.10.1016/j.ijsolstr.2004.02.020Search in Google Scholar
© 2015 A. S. Sayyad et al.
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.