Fourier mode analysis of layers in shallow shell deformations

✍ Scribed by J. Pitkäranta; A.-M. Matache; C. Schwab

• Book ID: 104266693
• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 396 KB
• Volume: 190
• Category: Article
• ISSN: 0045-7825
• DOI: 10.1016/s0045-7825(00)00276-0

✦ Synopsis

We investigate here the length scales of the boundary or interior layer eects in shell deformation. Quantitative information on the layers is obtained by considering two (simpli®ed) shallow'' shell models corresponding to the classical'' three-®eld Love±Nov-ozhilov±Koiter (LNK), respectively ®ve-®eld Reissner±Naghdi (RN) shell models. We start by analysing the layers as functions of the thickness of the shell, while keeping the other geometric parameters ®xed. Having found the four limit Fourier modes we complete the analysis investigating systematically the layers length scales under more general assumptions, particularly when also the wave parameter is variable. Scaling properly the energy expressions, as indicated by the layer mode analysis, shell deformation energies characteristic to shell layers are found. These show how the layer is eectively seen by the ®nite element solver and can be useful in the analysis of numerical locking eects in the FEM approximation of shell layers.