Analytical Modeling of Buckling Behavior of Porous FGM Cylindrical Shell Embedded within an Elastic Foundation
Abdelaziz Timesli
Abstract
The aim of this paper is to investigate the buckling behavior of porous Functionally Graded Materiel (FGM) cylindrical shells based on Donnell shell theory. In this context, we develop an explicit analytical expression which takes into consideration the effect of porosities through the thickness of the structure and that of the elastic foundation using a modified power-law function and the models of Winkler and Pasternak, respectively. We use the modified rule of mixture to determinate the behavior of the porous FGM cylindrical shell. The effects of porosity volume fraction, power-law index, and Young’s modulus ratio are investigated. Moreover, we also discuss the influence of different parameters on the stability behavior of the porous FGM shell.