Nonlinear stability of the encased functionally graded porous cylinders reinforced by graphene nanofillers subjected to pressure loading under thermal effect

Abstract

This paper investigates the nonlinear stability of the functionally graded porous (FGP) cylinder reinforced by graphene nanofillers (GNF). Both the pores and GNF are distributed symmetrically in the cross-section of the cylinder. The FGP-GNF cylinder deforms radially-inward only due to the restraint of the tightly-fitting encasement. This radially-inward deformation can be expressed by a cosine function. Associated with the thin-walled shell algorithm and calculus of variation, the nonlinear equilibrium equations are obtained and solved to calculate the critical buckling pressure of the heated FGP-GNF cylinder. Later, numerical verification is accomplished by comparing the numerical and analytical buckling pressure. Furthermore, the present analytical and numerical results are compared with other closed-form predictions when the FGP-GNF cylinder reduces to a homogeneous one. Finally, the main attention is paid to the parameters that may affect the buckling pressure, including the thermal effect, porosity coefficient, weight fraction and geometric shape of the GNF, interface friction, and Young’s modulus of the encasement.