Static response of FGM shell using refined higher-order shear and normal deformation theory

Abstract

Abstract. In the present study, a static response of functionally graded plate and spherical shells is investigated using higher-order trigonometric shear and normal deformation theory. A need of the shear correction factor is obviated and the effect of actual cross-sectional warping has been considered to get the realistic behaviour of transverse shear stresses across the thickness of the shell. The Navier solution technique has been used to analyse the simply-supported boundary conditions of the shell. To verify the theory, the numerical results obtained using the present theory are compared with other higher-order shear deformation theories available in the literature. The numerical results are obtained with and without considering the effects of transverse normal strain (εz).