Articolo in rivista, 2012, ENG, 10.1016/j.cma.2011.10.009

An isogeometric method for the Reissner-Mindlin plate bending problem

L. Beirao da Veiga, A. Buffa, C. Lovadina, M. Martinelli, and G. Sangalli

Università di Pavia, Dipartimento di Matematica, Pavia; Università di Milano, Dipartimento di Matematica "F. Enriques", Milano ; IMATI CNR, Pavia

We present a new isogeometric method for the discretization of the Reissner-Mindlin plate bending problem. The proposed scheme follows a recent theoretical framework that makes possible the construction of a space of smooth discrete deflections Wry and a space of smooth discrete rotations Theta(h) such that the Kirchhoff constraint is exactly satisfied at the limit. Therefore we obtain a formulation which is natural from the theoretical/mechanical viewpoint and locking-free by construction. We prove that the method is uniformly stable and satisfies optimal convergence estimates. Finally, the theoretical results are fully supported by numerical tests.

Computer methods in applied mechanics and engineering 209-212 , pp. 45–53

Keywords

Isogeometric Analysis, Reissner Mindlin plates, De Rham diagram

CNR authors

Lovadina Carlo, Beirao Da Veiga Lourenco, Sangalli Giancarlo, Buffa Annalisa, Martinelli Massimiliano

CNR institutes

IMATI – Istituto di matematica applicata e tecnologie informatiche "Enrico Magenes"