We obtain the energy functional of Reissner–Mindlin plates as the Γ-limit of a family of three-dimensional energy functionals within the framework of second-order linear elasticity. The choice of the family of functionals, as well as of the candidate limiting functional, is guided by a formal scaling argument.
Paroni, R., PODIO GUIDUGLI, P., Tomassetti, G. (2006). The reissner–mindlin plate theory via Γ-convergence. COMPTES RENDUS MATHÉMATIQUE, 343(6), 437-440 [10.1016/j.crma.2006.08.006].
The reissner–mindlin plate theory via Γ-convergence
PODIO GUIDUGLI, PAOLO;TOMASSETTI, GIUSEPPE
2006-01-01
Abstract
We obtain the energy functional of Reissner–Mindlin plates as the Γ-limit of a family of three-dimensional energy functionals within the framework of second-order linear elasticity. The choice of the family of functionals, as well as of the candidate limiting functional, is guided by a formal scaling argument.File in questo prodotto:
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