Thermal analysis of isotropic plates using hyperbolic shear deformation theory

Abstract

In this paper, thermal analysis of a thick isotropic rectangular plate is carried out using the hyperbolic shear deformation theory (HYSDT). The displacement field of the theory contains three variables. The hyperbolic sine and cosine functions are used in the displacement field in-terms of thickness coordinate to represent the effect of shear deformation. The most important feature of the theory is that, the transverse shear stresses can be obtained directly from the use of constitutive relations, hence the theory does not need shear correction factor. The theory accounts for parabolic distribution of transverse shear stresses across the thickness satisfying the stress free boundary conditions at top and bottom surfaces of the plate. Governing differential equations and boundary conditions of the theory are obtained using the principle of virtual work. The results obtained for bending analysis of isotropic plates subjected to uniformly distributed thermal load are compared with those obtained by other theories, to validate the accuracy of the presented theory.