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 W h and a space of smooth discrete rotations Θ 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. © 2011 Elsevier B.V.

BEIRAO DA VEIGA, L., Buffa, A., Lovadina, C., Martinelli, M., Sangalli, G. (2012). An isogeometric method for the Reissner–Mindlin plate bending problem. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 209-212, 45-53 [10.1016/j.cma.2011.10.009].

An isogeometric method for the Reissner–Mindlin plate bending problem

BEIRAO DA VEIGA, LOURENCO
Primo
;
2012

Abstract

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 W h and a space of smooth discrete rotations Θ 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. © 2011 Elsevier B.V.
Articolo in rivista - Articolo scientifico
isogeometric analysis
English
45
53
9
BEIRAO DA VEIGA, L., Buffa, A., Lovadina, C., Martinelli, M., Sangalli, G. (2012). An isogeometric method for the Reissner–Mindlin plate bending problem. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 209-212, 45-53 [10.1016/j.cma.2011.10.009].
BEIRAO DA VEIGA, L; Buffa, A; Lovadina, C; Martinelli, M; Sangalli, G
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/98826
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