Delamination in laminated plates using the 4-noded quadrilateral QLRZ plate element based on the refined zigzag theory

Abstract

A numerical method based on the Refined Zigzag Theory (RZT) to model delamination in composite laminated plate/shell structures is presented. The originality of this method is the use of 4-noded quadrilateral plate finite elements whit only seven variables per node to discretize the plate/shell geometry. The ability to capture the relative displacement between consecutive layers in fracture mode II and III is the more important advantage of this element, denoted QLRZ.

A continuum isotropic damage model is used to model the mechanical behavior of the plies. The material non-lineal problem is solved with the modified Newton–Raphson method.

The RZT plate theory, the QLRZ finite element and the isotropic damage model are described in this work. Also, the implicit integration algorithm is presented. The performance of the numerical model is analyzed by studying the delamination in a rectangular plate for two different laminates, using the 3D analysis as the reference solution

Keywords:

Laminated plates
Delamination
QLRZ plate element

How to cite

A. Eijo, E. Oñate and S. Oller, Delamination in laminated plates using the 4-noded quadrilateral QLRZ plate element based on the refined zigzag theory, Papers Repository of the International Centre for Numerical Methods in Engineering (CIMNE) (2022). 247 URL https://www.scipedia.com/public/Eijo_et_al_2014a

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Document information

Published on 25/04/14
Submitted on 02/01/65

DOI: 10.1016/j.compstruct.2013.09.052
Licence: CC BY-NC-SA license

Web of Science Core Collection® Times cited: 11
Crossref Cited-by Times cited: 15
OpenCitations.net Times cited: 3

OpenCitations.net - Citing documents:

H. Darban, R. Massabò. A homogenized structural model for shear deformable composites with compliant interlayers. Multiscale and Multidiscip. Model. Exp. and Des. 1(4) (2018) DOI 10.1007/s41939-018-0032-x
L. Iurlaro, M. Gherlone, M. Mattone, M. Di Sciuva. Experimental assessment of the Refined Zigzag Theory for the static bending analysis of sandwich beams. Jnl of Sandwich Structures & Materials 20(1) (2016) DOI 10.1177/1099636216650614
A. Tessler. Refined zigzag theory for homogeneous, laminated composite, and sandwich beams derived from Reissner’s mixed variational principle. Meccanica 50(10) (2015) DOI 10.1007/s11012-015-0222-0