We review some results about the behaviour of a general Koiter shell, in the framework of linear elasticity. In particular, we investigate the asymptotics (for the thickness tending to zero) of the energy functional and of the percentage of the energy which is stored in the bending term. Such an analysis is motivated by the need to better understand how to numerically treat an arbitrary thin shell, when the discretization is performed using a finite element strategy. We present some instances to which our theory can be applied. Some numerical tests confirming our theoretical predictions are also provided. © 2002 Elsevier Science Ltd. All rights reserved.

Auricchio, F., BEIRAO DA VEIGA, L., Lovadina, C. (2002). Remarks on the asymptotic behavior of Koiter shells. COMPUTERS & STRUCTURES, 80(9-10), 735-745 [10.1016/S0045-7949(02)00044-5].

Remarks on the asymptotic behavior of Koiter shells

BEIRAO DA VEIGA, LOURENCO
Secondo
;
2002

Abstract

We review some results about the behaviour of a general Koiter shell, in the framework of linear elasticity. In particular, we investigate the asymptotics (for the thickness tending to zero) of the energy functional and of the percentage of the energy which is stored in the bending term. Such an analysis is motivated by the need to better understand how to numerically treat an arbitrary thin shell, when the discretization is performed using a finite element strategy. We present some instances to which our theory can be applied. Some numerical tests confirming our theoretical predictions are also provided. © 2002 Elsevier Science Ltd. All rights reserved.
Articolo in rivista - Articolo scientifico
Koiter shells; Energy estimates; Real interpolation theory; Finite element method
English
735
745
11
Auricchio, F., BEIRAO DA VEIGA, L., Lovadina, C. (2002). Remarks on the asymptotic behavior of Koiter shells. COMPUTERS & STRUCTURES, 80(9-10), 735-745 [10.1016/S0045-7949(02)00044-5].
Auricchio, F; BEIRAO DA VEIGA, L; Lovadina, C
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/100353
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