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Abstract
In this research, it is tried to inquire the wave propagation problem of a double-layered graphene sheet (DLGS) undergoing thermal loading for the first time. Here, uniform and linear temperature distributions are included to enucleate the effect of each one in comparison with the other. A classical plate theory is employed to derive the kinematic relations of each layer of DLGS. On the other hand, the non-local elasticity theory is introduced to account for the nanoscale effects. In addition, attachment of graphene sheets to a fixed surface is modeled by a visco-Pasternak foundation and the interactions between two layers are simulated utilizing van der Waals (vdW) model. By the means of Hamilton’s principle, the non-local governing equations are derived. Also, in the framework of an analytical procedure, the wave frequency and phase velocity values are obtained. Eventually, a complex of various diagrams is organized to separately investigate the influence of each parameter on the wave frequency, phase velocity, and escape frequency of DLGSs.