Abstract
We present a deduction of the Kirchhoff–Love and Reissner–Mindlin kinematics of a simply-connected plate by using the formal asymptotic development method applied to the compatibility conditions of Saint-Venant and the formula of Cesàro–Volterra. This formal deduction is purely geometrical because we do not use any information coming from the loading or the constitutive behavior.
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Geymonat, G., Krasucki, F. & Serpilli, M. The Kinematics of Plate Models: A Geometrical Deduction. J Elasticity 88, 299–309 (2007). https://doi.org/10.1007/s10659-007-9133-1
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DOI: https://doi.org/10.1007/s10659-007-9133-1