Abstract:
Based on the classical shell theory, with the virtual work principle and the variational method, the displacement-type geometric nonlinear governing equations for functionally graded shallow circular spherical shells in uniform temperature field under uniform external pressure were derived. With the shooting method, the numerical results of the axisymmetric deformation of the shells in the clamped boundary condition were obtained. The effects of material volume fraction index, elasticity modulus of constituent materials and uniform temperature field on the equilibrium paths, the upper/lower critical loads and equilibrium configurations of the shells were investigated. The numerical results show that the upper/lower critical load of the shells decreases significantly with the increase of volume fraction index and the decrease of elasticity modulus of constituent materials. The rise of the uniform temperature brings obvious increase of the upper critical load and slight decrease of the lower critical load. A practical numerical table and some practical numerical curves are given for the convenience of designers to select geometry, material, load and temperature parameters.