The asymptotic behaviour of the smallest eigenvalue in linear shell problems is studied, as the thickness parameter tends to zero. When pure bending is not inhibited, such a behaviour has been essentially studied by Sanchez-Palencia. When pure bending is inhibited, the situation is more complex and some information can be obtained by using the Real Interpolation Theory. In order to cover the widest range of mid-surface geometry and boundary conditions, an abstract approach has been followed. A result concerning the ratio between the bending and the total elastic energy is also announced.
|Titolo:||Asymptotics of Shell Eigenvalue Problems|
BEIRAO DA VEIGA, LOURENCO (Primo)
|Settore Scientifico Disciplinare:||Settore MAT/08 - Analisi Numerica|
|Data di pubblicazione:||2006|
|Digital Object Identifier (DOI):||10.1016/j.crma.2006.03.004|
|Appare nelle tipologie:||01 - Articolo su periodico|