A General Linear Theory of Elastic Plates and its Variational Validation
Danilo Percivale, Paolo Podio-Guidugli (2009)
Bollettino dell'Unione Matematica Italiana
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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...