▎ 摘　　要

In the present work, the buckling behavior of a single-layered graphene sheet (SLGS) embedded in visco-Pastemak's medium is studied using nonlocal four-unknown integral model. This model has a displacement field with integral terms which includes the effect of transverse shear deformation without using shear correction factors. The visco-Pastemak's medium is introduced by considering the damping effect to the classical foundation model which modeled by the linear Winkler's coefficient and Pastemak's (shear) foundation coefficient. The SLGS under consideration is subjected to compressive in- plane edge loads per unit length. The influences of many parameters such as nonlocal parameter, geometric ratio, the visco-Pastemak's coefficients, damping parameter, and mode numbers on the buckling response of the SLGSs are studied and discussed.