Discrete layer finite element modeling of anisotropic laminated shells based on a refined semi - inverse mixed displacement field formulation

• Autor(a) principal: C. M. A. Vasques
• Data de Publicação: 2006
• Outros Autores: J. Dias Rodrigues
• Tipo de documento: Livro
• Idioma: eng
• Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
• Texto Completo: https://hdl.handle.net/10216/69575
• topic: Engenharia mecânica, Engenharia mecânica; Mechanical engineering, Mechanical engineering

This paper concerns the finite element (FE) modeling of anisotropic laminated shells. A discrete layer approach is employed in this work and a single layer is first considered and isolated from the multilayer shell structure. The weak form of the governing equations of the anisotropic single layer of the multilayer shell is derived with Hamiltons principle using a mixed (stresses/displacements) definition of the displacement field, which is obtained through a semi-inverse (stresses/strains-displacements) approach. Results from 3-D elasticity solutions are used to postulate adequate definitions of the out-of-plane shear stress components, which, in conjunction with the Reissner-Mindlin theory (or first order shear deformation theory) de- finitions of the shell in-plane stresses, are utilized to derive the mixed displacement field. Afterward, the single layer shell FE is regenerated to a 3-D form, which allows interlayer displacements and out-of-plane stresses continuity between adjacent interfaces of different layers to be imposed, and a multilayer shell FE is obtained by assembling, at an elemental FE level, all the regenerated single layer FE contributions. A fully refined shell theory, where displacement and full out-of-plane stresses continuity and homogeneous stress conditions on the top and bottom surfaces are assured, is conceptually proposed, and a partially refined shell theory, where the out-of-plane normal stress continuity is relaxed and a plane stress state is considered, is developed and used to derive a FE solution for segmented multilayer doubly-curved anisotropic shells.