Percivale, Danilo and Podio-Guidugli, Paolo:
A General Linear Theory of Elastic Plates and its Variational Validation
Bollettino dell'Unione Matematica Italiana Serie 9 2 (2009), fasc. n.2, p. 321-341, (English)
pdf (307 Kb), djvu (190 Kb). | MR 2537273 | Zbl 1170.74030
Sunto
We provide a variational justification for shearable-plate models that generalize the classic Reissner-Mindlin model. Firstly, we give an argument leading to choose a fairly general linearly elastic monoclinic material response. Secondly, we prove that, for materials in such constitutive class, the variational limit of certain suitably scaled 3D energies is a functional whose minimum over a maximal subspace of admissible functions coincides with the minimum of the generalized Reissner-Mindlin functional.
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