Buckling analysis of skew magneto-electro-thermo-elastic nanoplates considering surface energy layers and utilizing the Galerkin method

In the present study, buckling analysis of skew magneto-electro-thermo-elastic (METE) nanoplates is carried out by the surface layers and nonlocal small-scale hypotheses. The equilibrium governing skew METE nanoplates is attained via the refined plate hypothesis; then, the equations of motion are obtained by using the principle of virtual work. The Galerkin method is considered to solve these equations. The governing equations are tested using the Navier’s solution to verify the exactness of the Galerkin method. The monumental elements, which consist of electric potential, magnetic potential, nonlocal parameter, nanoplate thickness, skew angle, and temperature change, are investigated with regard to the rate of the surface layers of the buckling behavior of a skew METE nanoplate. Based on the numerical results, there is a good similarity between the results of the present work and some accessible cases already mentioned in the literature. It is also shown that by raising the skew angle, the influence of the surface layers on the buckling of the METE nanoplate is decreased.