The three basic functionals of potential energy, complementary energy and Hellinger-Prange-Reissner are used to obtain a rational derivation of Reissner-Mindlin plate 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.
Teresi, L., Tiero, A. (1997). On Variational Approaches to Plate Models. MECCANICA, 32, 143-156 [10.1023/A:1004271405217].
On Variational Approaches to Plate Models
TERESI, Luciano;
1997-01-01
Abstract
The three basic functionals of potential energy, complementary energy and Hellinger-Prange-Reissner are used to obtain a rational derivation of Reissner-Mindlin plate 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.File in questo prodotto:
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