Abstract
The buckling properties of a single-layered graphene sheet (SLGS) are examined using nonlocal integral first shear deformation theory (FSDT) by incorporating the influence of visco-Pastemak's medium. This model contains only four variables, which is even less than the conventional FSDT. The visco-Pastemak's medium is introduced by considering the damping influence to the conventional foundation model which modeled by the linear Winkler's coefficient and Pastemak's (shear) foundation coefficient. The nanoplate under consideration is subjected to compressive in-plane edge loads per unit length. The impacts of many parameters such as scale parameter, aspect ratio, the visco-Pastemak's coefficients, damping parameter, and mode numbers on the stability investigation of the SLGSs are examined in detail. The obtained results are compared with the corresponding available in the literature.