C~1 plate and shell finite elements for geometrically nonlinear analysis of multilayered structures

摘要

The aim of this work is to analyze the geometrically nonlinear mechanical behaviour of multilayered structures by a high order plate/ shell finite element in order to predict displacements and stresses of such composite structures for design applications. Based on a conforming finite element method, a C~1 triangular six node finite element is developed using trigonometric functions for the transverse shear stresses. The geometric nonlinearity is based on von-Karmann assumptions and only five generalized displacements are used to ensure: 1. a cosine distribution for the transverse shear stresses with respect to the thickness co-ordinate, avoiding shear correction factors; 2. the continuity conditions between layers of the laminate for both displacements and transverse shear stresses; 3. the satisfaction of the boundary conditions at the top and bottom surfaces of the shells.