Thermal nonlinear performance of the porous metal cylinders with composite graphene nanofiller reinforcement encased in elastic mediums

This paper investigates the nonlinear thermal performance of the functionally graded porous (FGP) cylinder with the graphene nanofillers (GNF) encased in elastic mediums. An initial out-of-roundness imperfection (dent) was considered on the crown of the cylinder body, which may be induced by a concentrated load. This imperfection is described analytically. The total potential energy function of the cylinder during the heating process is expressed theoretically for the cylinder with symmetrical distributions of both the pores and GNF to the mid-surface of the cross-section. By variation of the potential energy function, the nonlinear equilibrium equations and the critical temperature variation values are obtained. Furthermore, the results of the present study are compared with other available expressions for a homogeneous metal cylinder. Finally, a numerical parametric investigation is taken, focusing on the differences of the nonlinear equilibrium curves and the critical temperature variations induced by different magnitudes of the initial out-of-roundness imperfections, pores contents, weight fractions of nanofillers, and geometric properties of the graphene platelets.