open access publication

Article, 2022

An adaptive floating node based formulation for the analysis of multiple delaminations under high cycle fatigue loading

Composites Part A Applied Science and Manufacturing, ISSN 1878-5840, 1359-835X, Volume 160, Page 107036, 10.1016/j.compositesa.2022.107036

Contributors

Trabal, Guillem Gall 0000-0002-4316-6428 [1] Bak, Brian Lau Verndal [1] Chen, Bo-Yang 0000-0001-7393-4363 [2] Carreras, Laura 0000-0002-2091-8148 [1] Lindgaard, Esben 0000-0002-8253-2419 (Corresponding author) [1]

Affiliations

  1. [1] Aalborg University
    2. [NORA names: AAU Aalborg University; University; Denmark; Europe, EU; Nordic; OECD];
  2. [2] Delft University of Technology
    3. [NORA names: Netherlands; Europe, EU; OECD]

Abstract

A novel efficient numerical formulation for the analysis of multiple fatigue-driven delamination cracks is presented. A cohesive zone model is used in combination with an Adaptive Refinement Scheme (ARS) and an Adaptive Floating Node Method (A-FNM) element that refine the model effectively during the analysis. Novel techniques are proposed to track the positions of multiple crack tips and calculate the mode decomposed energy release rates for the individual crack tips using the J -integral. The method has been implemented in a Matlab finite element code and validated with single and multiple delamination cases with varying mode mixities. Comparisons with theoretically based predictions and available experimental data showcase the high accuracy of the method. The presented method lowers the computational time compared to standard, fully refined finite element models by a factor of 4–5.

Keywords

J-integral, MATLAB, MATLAB finite element code, accuracy, adaptation, adaptive refinement scheme, analysis, cases, code, cohesive zone model, combination, comparison, computation time, crack, crack tip, cycle fatigue loading, data, delamination, delamination cases, delamination cracks, efficient numerical formulation, element code, elements, experimental data, factors, fatigue loading, finite element code, floating nodes, formulation, high-cycle fatigue loading, load, method, mixity, mode, mode mixity, model, multiple crack tips, multiple delaminations, node method, nodes, novel techniques, numerical formulation, position, prediction, rate, refinement scheme, scheme, standards, technique, time, tip, zone model

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