Stability of size dependent functionally graded nanoplate based on nonlocal elasticity and higher order plate theories and different boundary conditions

摘要: Abstract This article presents a nonlocal higher order plate theory for stability analysis of nanoplates subjected to biaxial in plane loadings. It is assumed that the properties FG nanoplate follow power law form through thickness. Governing equations and corresponding boundary conditions are derived by using principle minimum potential energy. Generalized differential quadrature (GDQ) method implemented solve size dependent buckling according shear deformation theories where highly coupled exist various rectangular plates. Some numerical results presented study effects material length scale parameter, thickness, Poisson’s ratio, side thickness ratio aspect on load. observed load predicted significantly deviates from classical ones, especially thick Also comparing obtained different shows as parameter take values, difference between resulting first (FSDT), declines.