| Title | Shell theories arising as low energy Gamma-limit of 3d nonlinear elasticity |
| Publication Type | Journal Article |
| Year of Publication | 2010 |
| Authors | Lewicka, M, Mora, MG, Pakzad, MR |
| Journal | Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5) Vol. IX (2010) 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 h4, h being the thickness of a shell, we derive a limiting theory which is a generalization of the von Karman theory for plates. |
| URL | http://hdl.handle.net/1963/2601 |
| DOI | 10.2422/2036-2145.2010.2.02 |
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