Abstract
The question of the estimation of the quality of a plate or a shell theory with respect to the 3D reference solution has been the subjec to intense research from the end of the seventies to he be-ginning of the eighties. This subject has been seen then more or less as an old fashioned one and the knowledge acquired in those years has been largely forgotten in favor of Finite Element approaches. It is however our opinion that a clear insight of the intimate relation between the exact 3D solution and the plate or shell one is still of interest. Infact, at least in the case of elasticity, aplate or a shell theory, completed by edge effects analysis, is an extremely powerful tool to compute a precise approximation everywhere.
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Allix, O., Dupleix-Couderc, C. (2010). A plate theory as a mean to compute precise 3D solutions including edge effects and related issues. In: De Mattos Pimenta, P., Wriggers, P. (eds) New Trends in Thin Structures: Formulation, Optimization and Coupled Problems. CISM International Centre for Mechanical Sciences, vol 519. Springer, Vienna. https://doi.org/10.1007/978-3-7091-0231-2_1
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