Crack identification in plates-type structures using natural frequencies coupled with success-history based adaptive differential evolution algorithm

In this study, a new method for identifying and characterizing straight cracks in plate-like structures is presented. The method combines the finite element method (FEM) using the software Abaqus and the success history-based adaptive differential evolution algorithm (SHADE). The objective of the me...

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Main Authors: Brihmat Chahira�, Nasreddine Amoura, Samir Lecheb, Hocine Kebir, Mohamed Abdessamed Ait Chikh, Bassima Tablit
Format: Article
Language:English
Published: Gruppo Italiano Frattura 2023-10-01
Series:Fracture and Structural Integrity
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Online Access:https://www.fracturae.com/index.php/fis/article/view/4353/3875
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author Brihmat Chahira�
Nasreddine Amoura
Samir Lecheb
Hocine Kebir
Mohamed Abdessamed Ait Chikh
Bassima Tablit
author_facet Brihmat Chahira�
Nasreddine Amoura
Samir Lecheb
Hocine Kebir
Mohamed Abdessamed Ait Chikh
Bassima Tablit
author_sort Brihmat Chahira�
collection DOAJ
description In this study, a new method for identifying and characterizing straight cracks in plate-like structures is presented. The method combines the finite element method (FEM) using the software Abaqus and the success history-based adaptive differential evolution algorithm (SHADE). The objective of the method is to minimize the mean relative error between the measured experimental frequencies of a plate with an unknown crack identity and the numerical frequencies obtained using the Shade-FEM approach. The crack identity is defined by its length, orientation, and centre coordinates. To validate the effectiveness of the proposed approach, two strategies are applied. In the first strategy, the inverse problem is solved using the natural frequencies of a plate with a known crack identity obtained through modal simulation in Abaqus. In the second strategy, the experimental frequencies of a cracked plate are used. The results of the study demonstrate that the proposed approach achieves promising results with just a population size of 25 and 150 iterations. The outcomes show high accuracy, as indicated by a relative error of the objective function below 0.8%. Overall, the study demonstrates the effectiveness of using the Shade-FEM approach for identifying and characterizing straight cracks in plate-like structures, offering potential applications in various engineering and structural integrity fields.
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publisher Gruppo Italiano Frattura
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spelling doaj-art-49cbc71b122b4d3e896355a6490d2aea2025-08-20T02:44:36ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932023-10-01176620721910.3221/IGF-ESIS.66.1310.3221/IGF-ESIS.66.13Crack identification in plates-type structures using natural frequencies coupled with success-history based adaptive differential evolution algorithmBrihmat Chahira�Nasreddine AmouraSamir LechebHocine KebirMohamed Abdessamed Ait ChikhBassima TablitIn this study, a new method for identifying and characterizing straight cracks in plate-like structures is presented. The method combines the finite element method (FEM) using the software Abaqus and the success history-based adaptive differential evolution algorithm (SHADE). The objective of the method is to minimize the mean relative error between the measured experimental frequencies of a plate with an unknown crack identity and the numerical frequencies obtained using the Shade-FEM approach. The crack identity is defined by its length, orientation, and centre coordinates. To validate the effectiveness of the proposed approach, two strategies are applied. In the first strategy, the inverse problem is solved using the natural frequencies of a plate with a known crack identity obtained through modal simulation in Abaqus. In the second strategy, the experimental frequencies of a cracked plate are used. The results of the study demonstrate that the proposed approach achieves promising results with just a population size of 25 and 150 iterations. The outcomes show high accuracy, as indicated by a relative error of the objective function below 0.8%. Overall, the study demonstrates the effectiveness of using the Shade-FEM approach for identifying and characterizing straight cracks in plate-like structures, offering potential applications in various engineering and structural integrity fields.https://www.fracturae.com/index.php/fis/article/view/4353/3875non-destructive testingnatural frequenciesfemcrack identificationshade algorithmobjective function
spellingShingle Brihmat Chahira�
Nasreddine Amoura
Samir Lecheb
Hocine Kebir
Mohamed Abdessamed Ait Chikh
Bassima Tablit
Crack identification in plates-type structures using natural frequencies coupled with success-history based adaptive differential evolution algorithm
Fracture and Structural Integrity
non-destructive testing
natural frequencies
fem
crack identification
shade algorithm
objective function
title Crack identification in plates-type structures using natural frequencies coupled with success-history based adaptive differential evolution algorithm
title_full Crack identification in plates-type structures using natural frequencies coupled with success-history based adaptive differential evolution algorithm
title_fullStr Crack identification in plates-type structures using natural frequencies coupled with success-history based adaptive differential evolution algorithm
title_full_unstemmed Crack identification in plates-type structures using natural frequencies coupled with success-history based adaptive differential evolution algorithm
title_short Crack identification in plates-type structures using natural frequencies coupled with success-history based adaptive differential evolution algorithm
title_sort crack identification in plates type structures using natural frequencies coupled with success history based adaptive differential evolution algorithm
topic non-destructive testing
natural frequencies
fem
crack identification
shade algorithm
objective function
url https://www.fracturae.com/index.php/fis/article/view/4353/3875
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AT samirlecheb crackidentificationinplatestypestructuresusingnaturalfrequenciescoupledwithsuccesshistorybasedadaptivedifferentialevolutionalgorithm
AT hocinekebir crackidentificationinplatestypestructuresusingnaturalfrequenciescoupledwithsuccesshistorybasedadaptivedifferentialevolutionalgorithm
AT mohamedabdessamedaitchikh crackidentificationinplatestypestructuresusingnaturalfrequenciescoupledwithsuccesshistorybasedadaptivedifferentialevolutionalgorithm
AT bassimatablit crackidentificationinplatestypestructuresusingnaturalfrequenciescoupledwithsuccesshistorybasedadaptivedifferentialevolutionalgorithm