The effect of degree of orthotropy on transverse deflection of orthotropic and antisymmetric laminated plates under uniformly distributed thermal load has been presented by using trigonometric shear deformation theory. The effect of the ratio of thermal expansion coefficients on the central deflection of orthotropic and two layer antisymmetric laminated plates under thermal load has been studied and presented in this paper. The in-plane displacement field uses sinusoidal function in terms of thickness co-ordinate to include the shear deformation effect. The present theory obviates the need of shear correction factor and satisfies the shear stress free boundary conditions on the top and bottom surfaces of the plate. Using principal of virtual work, governing equations and boundary conditions of the theory are obtained. Numerical results of transverse deflection obtained by present theory are compared with first order shear deformation theory and classical plate theory.
Degree of orthotropy Material anisotropy Laminated plates Thermal load
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Ali J, Bhaskar K, Varadan T (1999) A new theory for accurate thermal/mechanical flexural analysis of symmetric laminated plates. Compos Struct 45:227–232CrossRefGoogle Scholar
Fares M, Zenkour AM, El-Marghany MK (2000) Non-linear thermal effects on the bending response of cross-ply laminated plates using refined first-order theory. Compos Struct 49:257–267CrossRefGoogle Scholar
Ghugal YM, Kulkarni SK (2011) Thermal stress analysis of cross-ply laminated plates using refined shear deformation theory. J Exp Appl Mech 2:47–66Google Scholar
Matsunaga H (2004) A comparison between 2-D single-layer and 3-D layer-wise theories for computing inter-laminar stresses of laminated composite and sandwich plates subjected to thermal loadings. Compos Struct 65:161–177CrossRefGoogle Scholar
Zhen W, Cheng Y, Lo S, Chen W (2007) Thermal stress analysis for laminated plates using actual temperature field. Int J Mech Sci 49:1276–1288CrossRefGoogle Scholar
Fares M, Zenkour AM (1999) Mixed variational formula for the thermal bending of laminated plates. J Therm Stress 22:347–365CrossRefGoogle Scholar
Zenkour AM (2004) Analytical solution for bending of cross-ply laminated plates under thermo-mechanical loading. Compos Struct 65:367–379CrossRefGoogle Scholar
Ghugal YM, Kulkarni SK (2013) Thermal response of symmetric cross-ply laminated plates subjected to linear and non-linear thermo-mechanical loads. J Therm Stress 36:466–479CrossRefGoogle Scholar
Ghugal YM, Kulkarni SK (2013) Flexural response of cross-ply laminated plates subjected to non-linear thermal and mechanical loadings. Acta Mech 224:675–690CrossRefMathSciNetzbMATHGoogle Scholar
Ghugal YM, Kulkarni SK (2013) Thermal flexural analysis of cross-ply laminated plates using trigonometric shear deformation theory. Lat Am J Solids Struct 10:1001–1023CrossRefGoogle Scholar
Ghugal YM, Shimpi RP (2002) Review of refined shear deformation theories for isotropic and anisotropic laminated plates. J Reinf Plast Compos 21:775–813CrossRefGoogle Scholar