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

• Type: Article in International Conference Proceedings Book
• Date: 2006

Authors

C. M. A. Vasques (Author) Other; J. Dias Rodrigues (Author) FEUP

Conference proceedings International

Title: Mechanics and materials in design

5th International Conference on Mechanics and Materials in Design (M2D'2006)

Porto, Portugal, July 24-26, 2006

Scientific classification

FOS: Engineering and technology > Mechanical engineering

CORDIS: Technological sciences > Engineering > Mechanical engineering

Other information

Abstract (EN): 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 Hamilton¿s 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 44