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In the present manuscript, we developed a systematic formulation for some type graphene sheets having annular sector, sector shaped or curvilinear side graphene located on a silicone matrix via nonlocal elasticity theory for numerical solution. An eight-node curvilinear element is used for transformation of the governing equation of motion of annular sector graphene from physical region to computational region in conjunctions with the thin plate theory. Silicone matrix is modeled by using the Winkler-Pasternak elastic foundations. The formulation is usefully for different shaped graphene sheets

Coordinate Transformation for Sector and Annular Sector Shaped Graphene Sheets on Silicone Matrix