A variational approach for analytical buckling solution of moderately thick microplate using strain gradient theory incorporating two-variable refined plate theory: a benchmark study

In this paper, two-variable refined plate theory and strain gradient (SGT) are adopted termed (TV-SGT) for buckling analysis of moderately thick microplate. The TV-SGT embraces both shear micro-effects simultaneously and, therefore, does not need the correction factor. Notably, governing equations new boundary conditions derived using variational approach. Moreover, generalized complicated problems. constitutive solved analytically as a benchmark problem simply supported accuracy simplicity utilizing investigating stability microplate assessed, critical load uniaxial biaxial loadings is studied. impacts thickness, length scale parameters dimensions on non-dimensionalized investigated. Consequently, increasing thickness leads to rising gap between classical results. Therefore, ruled out in analysing microplate, whereas well defined analyse