Buckling load relationship between Reddy and Kirchhoff circular plates

This paper presents an exact relationship between the buckling load of circular plates based on the Reddy (third-order shear deformation) plate theory and that of the classical Kirchhoff plate theory.. The relationship allows orle to obtain the exact buckling solutions of Reddy plates from the well-known Kirchhoff solutions for circular plates with (i) simply supported edges, (ii) clamped edges, (iii) simply supported edges with elastic rotational restraints, and (iv) fi-ee edges with the centre clamped. Unlike the Mindlin plate theory, there is no need for a shear correction factor in the Reddy plate theory. A comparison of buckling results between the Mindlin, Reddy and three-dimensional elasticity plates is also given