Thermal Buckling Analysis of Truncated Porous Conical Shells

This paper presents thermal buckling analysis of fitnctionally graded porous trtmcated conical shell. It is considered that a fluid undrained between porous material. The porous material properties vary continuously across the thickness direction of the shell based on a specific fimction. Also it is assumed that the shell is simply supported at it’s both ends. The governing equations are obtained based on the Sanders nonlinear strains relations and the classical shell theory using of variational formulations. The case of unifomi temperature distribution through the shell domain is considered. The general mechanical nonlinear equilibrium and linear stability equations are derived. By using minimum potential energy criterion, the stability equations are established and the single-mode Galerkin method is used to obtain the critical buckling temperature difference and finally, the results of critical buckling temperature difference, variation in thickness, porosity and angle of conical shell are investigated. The results are compared with the known data in the literatures.

Keywords:

Porous material , Thennal buckling analysis , Conical shell , Galerkin method