We consider a sequence of linear hyper-elastic, inhomogeneous and fully anisotropic bodies in a reference configuration occupying a cylindrical region of height ε. We study, by means of Γ-convergence, the asymptotic behavior as ε goes to zero of the sequence of complementary energies. The limit functional is identified as a dual problem for a two-dimensional plate. Our approach gives a direct characterization of the convergence of the equilibrating stress fields.
PARONI, ROBERTO (Co-primo) (Corresponding)
|Autori:||Murat, François; Paroni, Roberto|
|Titolo:||Plate theory as the variational limit of the complementary energy functionals of inhomogeneous anisotropic linearly elastic bodies|
|Anno del prodotto:||2018|
|Digital Object Identifier (DOI):||10.1177/1081286517707998|
|Appare nelle tipologie:||1.1 Articolo in rivista|