Thermal buckling of functionally graded truncated conical shells

In this paper, linear thermal buckling of a thin functionally graded material (FGM) truncated conical shell subjected to the uniform temperature rise loading is presented. Material properties of the FGM shell are assumed to vary continuously through the thickness direction. Equilibrium and stability equations are obtained based on the variational approach considering the first order shell theory and Sander's nonlinear kinematics equations. Galerkin method is adopted to obtain the critical buckling temperature difference of the conical shell. The results are compared with the known data in the literature. Upon the numerical results, effects of various parameters such as semi-vertex angel and FG parameter of material distribution are investigated on thermal instability of the conical shell.

Keywords:

Thermal buckling , Conical shell , Sander's shell theory , Functionally graded material