A method for forming a blend including graphene nanoparticles and a poly(styrene-co-methylmethacrylate), where the method includes melt mixing the poly(styrene-co-methylmethacrylate) and the graphene nanoparticles to obtain a nanocomposite and exposing the nanocomposite to microwave irradiation to bond the methyl methacrylate copolymer to the graphene nanoparticles, in which a content of the graphene nanoparticles is from 0.05 to 2 wt % based on the nanocomposites. A blend composition, including graphene nanoparticles and a poly(styrene-co-methylmethacrylate), where the graphene nanoparticles are dispersed in the poly(styrene-co-methylmethacrylate), the graphene nanoparticles are modified with microwave induced defects, and the free radicals of poly(styrene-co-methylmethacrylate) is bonded to the graphene nanoparticles at the defects.