Exact solutions for the buckling of rectangular plates having linearly varying in-plane loading on two opposite simply supported edges

By Jae-Hoon Kang, A. Leissa. 2005

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Stability analysis of simply-supported rectangular plates under non-uniform uniaxial compression using rigorous and approximate plane stress solutions (2006, background): “While approximate solutions for the corresponding buckling problem have been discussed even in classical textbooks [1,2], an exact series solution has been worked out for this case only recently [3].”
Stability analysis of functionally graded rectangular plates under nonlinearly varying in-plane loading resting on elastic foundation (2011, methodology): “In Table 2, the non-dimensional critical buckling moments obtained from present exact solution have been compared with those reported by Kang and Leissa [ 9 ] using the same method for homogonous rectangular plate ( p = 0). The plate is under pure in-plane bending on two opposite edges simply suppor”