Buckling of rectangular plates subjected to nonlinearly distributed in-plane loading

By C. Bert, K. Devarakonda. 2003

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Stability analysis of simply-supported rectangular plates under non-uniform uniaxial compression using rigorous and approximate plane stress solutions (2006, methodology): “[11] by the use of a more realistic, yet approximate, in-plane stress field, and it was shown that all the three in-plane stress components need to be accounted for in order to obtain a correct value of the critical load.”
Stability analysis of functionally graded rectangular plates under nonlinearly varying in-plane loading resting on elastic foundation (2011, methodology): “For example, Bert and Devarakonda [ 6 ] used Galerkin method to obtain buckling loads of a rectangular thin plate when all edges are simply supported and subjected to nonlinearly varying edge loads.”