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.
|Titolo:||Remarks on the asymptotic behavior of Koiter shells|
BEIRAO DA VEIGA, LOURENCO (Secondo)
|Parole Chiave:||Koiter shells ; Energy estimates ; Real interpolation theory ; Finite element method|
|Settore Scientifico Disciplinare:||Settore MAT/08 - Analisi Numerica|
|Data di pubblicazione:||apr-2002|
|Digital Object Identifier (DOI):||10.1016/S0045-7949(02)00044-5|
|Appare nelle tipologie:||01 - Articolo su periodico|