Shell Finite Elements for the Analysis of Multifield Problems in Multilayered Composite Structures

Abstract

This paper deals with the analysis of layered structures under thermal and electro-mechanical loads. Constitutive equations for multifield are considered and the Principle of Virtual Displacements (PVD) is employed to derive the governing equations. The MITC9 shell finite element based on the Carrera's Unified Formulation (CUF) has been applied for the analysis. The models grouped in the CUF have variable through-the-thickness kinematic and they provide an accurate distribution of displacements and stresses along the thickness of the laminate. The shell element has nine nodes and the Mixed Interpolation of Tensorial Components (MITC) method is used to contrast the membrane and shear locking phenomenon. The finite element analysis of multilayered plates and shells has been addressed. Variable kinematics, as well as layer-wise and equivalent single layer descriptions, have been considered for the presented FEs, according to CUF. A few problems are analyzed to show the effectiveness of the proposed approach. Various laminations, thickness ratios and curvature ratios are considered. The results, obtained with different theories contained in the CUF, are compared with both the elasticity solutions given in literature and the analytical solutions obtained using the CUF and the Navier's method.

Investigation of the macroscopic behaviour of laminates shells (MBLS) under varying loads using low order CSFE-sh FEM and the N-T’s 2-D shell equations

“…Several authors have worked on the properties of solid shell elements suitable for modeling layered structures. Cinefra Maria and Carrera Erasmo [16] analyzed multilayer structures under thermal and electromechanical loading. They used the finite element shell MITC9 based on Carrera's unified formulation.…”

Free Vibration Analysis of the Unified Functionally Graded Shallow Shell with General Boundary Conditions

“…It should be pointed out that the varying thickness has a great effect on the natural frequencies of the plates and shells. Many references have already been devoted to the study of the free vibration of multilayered plates [46][47][48][49] and shells [50][51][52][53][54][55] by using advanced analytical models based on variable throughthe-thickness kinematic. Therefore, in this paper, the effects of various thicknesses on the natural frequencies of the FG shallow shells are manifested in various aspect ratios, such as length-thickness ratios and width-thickness ratios.…”