<p>This paper presents a buckling analysis of functionally graded graphenereinforced composite (FG-GRC) porous truncated conical shells subjected to a nonlinear temperature field. Considering the porosity volume fraction as the basic parameter, a model for evaluating the effective material properties of the FG-GRC shells was suggested. The Taylor series was used to solve the heat conduction equation, and the nonlinear temperature field in the thermal environment was obtained. Coupled with the effects of the thermal environment, and the static equilibrium equilibrium were derived in the framework of first-order shear deformation theory. Galerkin’s method was employed to obtain the critical buckling temperature rise. The influences of pores, graphene platelets, and the geometric parameters of the shells on the critical buckling temperature rise were investigated. The results indicated that the critical buckling temperature rise decreases with increases in the semi-vertex angle, porosity coefficient, length-to-radius ratio, and length-to-thickness ratio. In contrast, the critical temperature rise can be enhanced as the graphene mass fraction increases.</p>