RELATIONSHIPS BETWEEN BUCKLING LOADS OF KIRCHHOFF, MINDLIN, AND REDDYPOLYGONAL PLATES ON PASTERNAK FOUNDATION

This paper presents relationships between the buckling loads determine d using classical Kirchhoff plate theory and shear deformable plate th eories. The latter theories considered are the first-order shear defor mation plate theory of Reissner-Mindlin and the third-order plate theo ry of Reddy. The relationships are exact for isotropic, simply support ed polygonal plates under an isotropic inplane load and resting on a P asternak foundation. Using the relationships, buckling solutions of th e Reissner-Mindlin and Reddy plate theories can be readily obtained fr om known buckling solutions of the Kirchhoff plate theory without the Pasternak foundation.