Eventos Anais de eventos
COBEM 2023
27th International Congress of Mechanical Engineering
A positional FEM formulation for geometrically nonlinear analysis of laminated plates and shells: regularization of transverse normal and shear stresses
Submission Author:
Vinícius Souza , SP , Brazil
Co-Authors:
Vinícius Souza, Humberto Coda
Presenter: Vinícius Souza
doi://10.26678/ABCM.COBEM2023.COB2023-0810
Abstract
Composite materials and structures have drawn special attention in the technical and scientific community due to their vast applications in areas of engineering, especially in civil, aeronautics, and aerospace industries. However, the distribution of transverse stresses along the laminate thickness is complex and a few theories can determine it accurately. The present study exploits the mechanical behavior of geometrically nonlinear laminated plates and shells applying an alternative formulation of the Finite Element Method (FEM). The so-called positional FEM is a geometrically exact and Total Lagrangian formulation that uses generalized vectors and nodal positions as parameters. A ten-node degenerate shell finite element with six degrees of freedom per node is employed in the basic kinematics, in which two enrichments are introduced. The first one promotes a linear strain variation along the thickness to mitigate volumetric locking of the cross section. The second introduces two new degrees of freedom in the composite’s reference surface directions, related with the regularization of transverse stresses and the intensity of the zigzag displacement field. According to the results, the proposed kinematics can simulate the shear and normal stresses fields, satisfying the continuity of shear stresses regarding transverse direction. In addition, the formulation has proved to be stable in strongly nonlinear analyses and free of volumetric locking.
Keywords
stress distribution, laminated plates and shells, orthotropic material, nonlinear analysis, positional FEM
