Thermal Buckling of Functionally Graded Material Cylindrical Shells on Elastic Foundation

TLDR: In this paper, the authors investigated the thermal postbuckling behavior of FGM cylindrical shells in a Pasternak-type elastic medium and provided a closed-form solution to the equilibrium and stability equations.

Abstract: M IRZAVAND and Eslami [1] have presented the thermal buckling analysis of simply supported functionally graded material (FGM) cylindrical shells that are integratedwith the surfacebonded piezoelectric actuators. Shen [2] reported the thermal postbuckling behavior of FGM cylindrical shells based on the thirdorder theory of shell via a singular perturbation method. Shen et al. [3,4] also made a study on the postbuckling response of an FGM cylindrical shell embedded in a Pasternak elastic medium and under mechanical load in thermal environments. The buckling analysis of FGM truncated conical shells subjected to combined axial extension loads and hydrostatics pressure and resting on the Pasternak-type elastic foundationwere studied analytically by Sofiyev [5]. Recently, the present authors reported the explicit expressions for mechanical buckling loads of thick FGM cylindrical shells in contact with a Pasternak-type elastic medium [6]. In the present Note, buckling of cylindrical shells made of FGM in contact with the Pasternak elastic foundation subjected to uniform temperature rise is investigated. The material properties of an FGM shell are assumed to be temperature-dependent and vary continuously as a power form through the thickness of a shell. The boundary conditions are assumed to be a fixed simply supported type. The equilibrium and stability equations are obtained, and stability equations are reduced to one equation. The investigation ends in a closed-form solution for the FGM cylindrical shells under uniform thermal load, and numerical results are presented.