Abstract
The classical theory of plate buckling is shown here to emerge from our dimension reduction procedure applied to incremental elasticity theory, concerned with the linearized theory or small deformations superposed upon large. Plate buckling theory emerges as the leading-order-in-thickness model when the underlying pre-stress scales appropriately with respect to thickness.
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Steigmann, D.J., Bîrsan, M., Shirani, M. (2023). Buckling of Elastic Plates. In: Lecture Notes on the Theory of Plates and Shells. Solid Mechanics and Its Applications, vol 274. Springer, Cham. https://doi.org/10.1007/978-3-031-25674-5_7
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DOI: https://doi.org/10.1007/978-3-031-25674-5_7
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