Classical, higher-order, zig-zag and variable kinematic shell elements for the analysis of composite multilayered structures

In the present work, a shell finite element with a variable kinematic field based on a new zig-zag power function is proposed for the analysis of laminated shell structures. The kinematic field is written by using an arbitrary number of continuous piecewise polynomial functions. The polynomial expan...

Full description

Saved in:
Bibliographic Details
Published in:European journal of mechanics, A, Solids A, Solids, 2018-11, Vol.72, p.97-110
Main Authors: Carrera, E., Valvano, S., Filippi, M.
Format: Article
Language:English
Subjects:
Composite materials
Composites
Continuity (mathematics)
Finite element analysis
Finite element method
Functions (mathematics)
Kinematics
Layer-wise
Mathematical models
Polynomials
Shell
Stress analysis
Unified formulation
Zig-zag theories
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In the present work, a shell finite element with a variable kinematic field based on a new zig-zag power function is proposed for the analysis of laminated shell structures. The kinematic field is written by using an arbitrary number of continuous piecewise polynomial functions. The polynomial expansion order of a generic subdomain is a combination of zig-zag power functions depending on the shell thickness coordinate. As in the classical layer-wise approach, the shell thickness can be divided into a variable number of mathematical subdomains. The expansion order of each subdomain is an input parameter of the analysis. This feature enables the solution to be locally refined over generic regions of the shell thickness by enriching the kinematic field. The advanced finite shell elements with variable kinematics are formulated in the framework of the Carrera Unified Formulation. The finite element arrays are formulated in terms of fundamental nuclei, which are invariants of the theory approximation order and the modelling technique (Equivalent-Single-Layer, Layer-Wise). In this work, the attention is focused on linear static stress analyses of composite laminated shell structures. The governing equations are obtained by applying the Principle of Virtual Displacements, and they are solved using the Finite Element method. Furthermore, the Mixed Interpolated Tensorial Components (MITC) method is employed to contrast the shear locking phenomenon. Several numerical investigations are carried out to validate and demonstrate the accuracy and efficiency of the present shell element.
ISSN:0997-7538
1873-7285
DOI:10.1016/j.euromechsol.2018.04.015