A General Linear Theory of Elastic Plates and its Variational Validation
Percivale, Danilo ; Podio-Guidugli, Paolo
Bollettino dell'Unione Matematica Italiana, Tome 2 (2009), p. 321-341 / Harvested from Biblioteca Digitale Italiana di Matematica
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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 functional.

Publié le : 2009-06-01
@article{BUMI_2009_9_2_2_321_0,
     author = {Danilo Percivale and Paolo Podio-Guidugli},
     title = {A General Linear Theory of Elastic Plates and its Variational Validation},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {2},
     year = {2009},
     pages = {321-341},
     zbl = {1170.74030},
     mrnumber = {2537273},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2009_9_2_2_321_0}
}

Percivale, Danilo; Podio-Guidugli, Paolo. A General Linear Theory of Elastic Plates and its Variational Validation. Bollettino dell'Unione Matematica Italiana, Tome 2 (2009) pp. 321-341. http://gdmltest.u-ga.fr/item/BUMI_2009_9_2_2_321_0/

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