Bending, Buckling and Vibration analysis of third order shear deformation nanoplate based on modified couple stress theory

In this paper a third order shear deformation rectangular nanoplate with simply supported boundary conditions is developed for bending, buckling and vibration analysis. to consider the small-scale effects, modified couple stress theory, one length scale parameter, used. The bending rates dimensionless values under uniform surface traction sinusoidal load, critical force uniaxial in x direction frequencies are all obtained various plate's dimensional ratios material thickness ratios. governing equations numerically solved. effect of scale, length, width on investigated results presented discussed detail.