Thermomechanical Buckling of Simply Supported Shallow FGM Spherical Shells with Temperature dependent Material

Abstract

The thermomechanical buckling of simply supported thin shallow spherical shells made of functionally graded material is presented in this paper. A metal-ceramic functionally graded shell with a power law distribution for volume fraction is considered, where its properties vary gradually through the shell thickness direction from pure metal on the inner surface to pure ceramic on the outer surface. The mechanical properties of the metal and ceramic are assumed to be temperature dependent. The governing equations are derived using the first-order shell theory of Love and Kirchhoff, the Donnell-Mushtari-Vlasov kinematics equations, and the calculus of variations. The analytical results are obtained for various types of loadings. The detailed results are compared and validated with the known data in the literature.