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 theory (SGT) are adopted and termed (TV-SGT) for buckling analysis of moderately thick microplate. The TV-SGT embraces both shear and micro-effects simultaneously and, therefore, does not need the shear correction factor. Notably, the governing equations and new boundary conditions are derived using variational approach. Moreover, the boundary conditions are generalized for...