Abstract
The three basic functionals of potential energy, complementary energy and Hellinger–Prange–Reissner are usedto obtain a rational derivation of Reissner–Mindlinplate models, starting from the three-dimensional theory.We show that the models so obtained are instances of the same plate theory; nevertheless, due to the different constitutive relations governing their response, they mimic the three-dimensional behaviour in three different manners.
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Teresi, L., Tiero, A. On Variational Approaches to Plate Modes. Meccanica 32, 143–156 (1997). https://doi.org/10.1023/A:1004271405217
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DOI: https://doi.org/10.1023/A:1004271405217