Post-buckling behaviour of shear deformable functionally graded curved shell panel under edge compression

In this article, the post-buckling behaviour of functionally graded curved shell panels of different shell geometries (spherical, elliptical, cylindrical and hyperbolic) are investigated under the uniaxial and the biaxial edge compression. The inhomogeneity of the functionally graded material along the thickness direction is achieved using power-law distribution through Voigt's micromechanical model to obtain the effective material properties. The kinematic model is developed with the help of higher-order shear deformation theory in conjunction with Green-Lagrange geometrical nonlinear strains. The governing equation of the axially loaded functionally graded curved panel is derived using the minimum total potential energy principle. The nonlinear finite element steps have been employed to discretise the shell panel domain and solved with the help of Picard's iterative method to obtain the desired load parameter. Further, the effects of different parameters such as the amplitude ratios, the power-law indices, the curvature ratios, the thickness ratios, and the support conditions on the buckling and post-buckling responses of the functionally graded curved panels are demonstrated through suitable numerical illustrations.