We consider a curved thin film made of a second grade material. The behaviour of the film is described by a nonconvex bulk energy depending on the first and second order derivatives of the deformation. When the thickness of the curved film goes to zero, we show, using $Gamma$-convergence arguments that the quasiminizers of three-dimensional energy converge to the minimizers of an energy whose grade two energy density has been $mathcal A$-quasiconvexified, depending on a two dimensional deformation and a Cosserat vector.
Curved thin films made of second grade materials / Gargiulo, G; Zappale, E.; Zorgati, H. - In: ADVANCES IN MATHEMATICAL SCIENCES AND APPLICATIONS. - ISSN 1343-4373. - 18 (2):(2008), pp. 319-336.
Titolo: | Curved thin films made of second grade materials | |
Autori: | ||
Data di pubblicazione: | 2008 | |
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Citazione: | Curved thin films made of second grade materials / Gargiulo, G; Zappale, E.; Zorgati, H. - In: ADVANCES IN MATHEMATICAL SCIENCES AND APPLICATIONS. - ISSN 1343-4373. - 18 (2):(2008), pp. 319-336. | |
Handle: | http://hdl.handle.net/11573/1458168 | |
Appartiene alla tipologia: | 01a Articolo in rivista |