We discuss the limiting behavior (using the notion of Gamma-limit) of the 3d nonlinear elasticity for thin shells around an arbitrary smooth 2d surface. In particular, under the assumption that the elastic energy of deformations scales like h^4, h being the thickness of a shell, we derive a limiting theory which is a generalization of the von Kármán theory for plates.
Shell theories arising as low energy Gamma-limit of 3d nonlinear elasticity / Lewicka, M.; Mora, M. G.; Pakzad, M. R.. - In: ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE. - ISSN 0391-173X. - STAMPA. - 9(2010), pp. 253-295.
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Titolo: | Shell theories arising as low energy Gamma-limit of 3d nonlinear elasticity | |
Autori: | ||
Data di pubblicazione: | 2010 | |
Rivista: | ||
Citazione: | Shell theories arising as low energy Gamma-limit of 3d nonlinear elasticity / Lewicka, M.; Mora, M. G.; Pakzad, M. R.. - In: ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE. - ISSN 0391-173X. - STAMPA. - 9(2010), pp. 253-295. | |
Abstract: | We discuss the limiting behavior (using the notion of Gamma-limit) of the 3d nonlinear elasticity for thin shells around an arbitrary smooth 2d surface. In particular, under the assumption that the elastic energy of deformations scales like h^4, h being the thickness of a shell, we derive a limiting theory which is a generalization of the von Kármán theory for plates. | |
Handle: | http://hdl.handle.net/11571/363572 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |