×

Asymptotic analysis for nonlinearly elastic membrane shells. (Analyse asymptotique des coques membranaires non linéairement élastiques.) (French. Abridged English version) Zbl 0799.73049

Summary: We show that the asymptotic analysis of the three-dimensional model of nonlinearly elastic shells leads to the identification of a limit two- dimensional model of membrane type. We also note that the scalings of the components of the displacement and the assumptions on the applied forces that are made for plates, do not extend to shells.

MSC:

74K15 Membranes
35Q72 Other PDE from mechanics (MSC2000)
35B40 Asymptotic behavior of solutions to PDEs

Keywords:

scalings
PDFBibTeX XMLCite