Abstract
In order to simplify three-dimensional equations, mechanical assumptions can be used in order to derive a simpler model for thin structures. The Kirchhoff-Love model is obtained by this method. But the Naghdi formulation is also an interesting plate model. In this chapter, both are derived from the three-dimensional theory, using the Hellinger-Reissner mixed formulation.
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Destuynder, P., Salaun, M. (1996). Plate Models for Thin Structures. In: Mathematical Analysis of Thin Plate Models. Mathematiques & Applications, vol 24. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51761-7_1
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DOI: https://doi.org/10.1007/978-3-642-51761-7_1
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