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

Guillem Gall Trabal; Brian Lau Verndal Bak; Boyang Chen; Laura Carreras; Esben Lindgaard

doi:10.1016/j.compositesa.2022.107036

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

Guillem Gall Trabal, Brian Lau Verndal Bak, Boyang Chen, Laura Carreras, Esben Lindgaard^*

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › Research › peer-review

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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.

Original language	English
Article number	107036
Journal	Composites Part A: Applied Science and Manufacturing
Volume	160
ISSN	1359-835X
DOIs	https://doi.org/10.1016/j.compositesa.2022.107036
Publication status	Published - Sept 2022

Bibliographical note

Funding Information:
This work is supported by the Talent Management Programme at Aalborg University, Denmark (Internal grant number: 771120) . This support is gratefully acknowledged.

Publisher Copyright:
© 2022 The Author(s)

Keywords

Adaptive refinement
Cohesive Zone Modeling
Delamination
Fatigue
Floating Node Method
Multiple delamination

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Open Access articleFinal published version, 1.62 MBLicence: CC BY 4.0

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

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 = "Adaptive refinement, Cohesive Zone Modeling, Delamination, Fatigue, Floating Node Method, Multiple delamination",

author = "Trabal, {Guillem Gall} and Bak, {Brian Lau Verndal} and Boyang Chen and Laura Carreras and Esben Lindgaard",

note = "Funding Information: This work is supported by the Talent Management Programme at Aalborg University, Denmark (Internal grant number: 771120) . This support is gratefully acknowledged. Publisher Copyright: {\textcopyright} 2022 The Author(s)",

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doi = "10.1016/j.compositesa.2022.107036",

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AU - Trabal, Guillem Gall

AU - Bak, Brian Lau Verndal

AU - Chen, Boyang

AU - Carreras, Laura

AU - Lindgaard, Esben

N1 - Funding Information: This work is supported by the Talent Management Programme at Aalborg University, Denmark (Internal grant number: 771120) . This support is gratefully acknowledged. Publisher Copyright: © 2022 The Author(s)

PY - 2022/9

Y1 - 2022/9

N2 - 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.

AB - 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.

KW - Adaptive refinement

KW - Cohesive Zone Modeling

KW - Delamination

KW - Fatigue

KW - Floating Node Method

KW - Multiple delamination

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M3 - Journal article

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SN - 1359-835X

VL - 160

JO - Composites Part A: Applied Science and Manufacturing

JF - Composites Part A: Applied Science and Manufacturing

M1 - 107036

ER -

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

Abstract

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Keywords

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