Fracture and Structural Integrity e-ISSN 1971-8993 Open access
Structural Integrity and Safety: Experimental and Numerical Perspectives Vol. 16, No. 59 (2022)

3D crack identification using the Nelder-Mead Simplex algorithm combined with a random generation of crack positions

Author and affiliation details
  • Nasreddine Amoura Corresponding author LMP2M laboratory, Yahia Fares University of Medea, New Urban Pole, 26000, Algeria ORCID iD0000-0002-4908-0000 nasreddine.amoura@gmail.com
  • Hocine Kebir University of Technology of Compiegne, Roberval laboratory (UMR 7337), BP 20529, 60205, FRANCE ORCID iD0000-0001-8059-7895
  • Abdelouahab Benzerdjeb Laboratory of Applied Mechanics, University of Sciences and Technology Mohamed Boudiaf, Oran, 31000, ALGERIA ORCID iD0000-0001-7390-6549
DOI
10.3221/IGF-ESIS.59.18
Pages
243-255
Published
Licence
CC BY 4.0
Published inVol. 16, No. 59 (2022)Go to the issue

Abstract

In this paper, we present a scheme for cracks identification in three-dimensional linear elastic mechanical components. The scheme uses a boundary element method for solving the forward problem and the Nelder-Mead simplex numerical optimization algorithm coupled with a low discrepancy sequence in order to identify an embedded crack. The crack detection process is achieved through minimizing an objective function defined as the difference between measured strains and computed ones, at some specific sensors on the domain boundaries. Through the optimization procedure, the crack surface is modelled by geometrical parameters, which serve as identity variables. Numerical simulations are conducted to determine the identity parameters of an embedded elliptical crack, with measures randomly perturbed and the residual norm regularized in order to provide an efficient and numerically stable solution to measurement noise. The accuracy of this method is investigated in the identification of cracks over two examples. Through the treated examples, we showed that the method exhibits good stability with respect to measurement noise and convergent results could be achieved without restrictions on the selected initial values of the crack parameters.

Keywords

Article history

  1. ReceivedUntil the next stage: 40 days
  2. RevisedUntil the next stage: 1 day
  3. AcceptedUntil the next stage: 57 days
  4. Published

How to cite

APA

Amoura, N., Kebir, H., & Benzerdjeb, A. (2021). 3D crack identification using the Nelder-Mead Simplex algorithm combined with a random generation of crack positions. Fracture and Structural Integrity, 16(59), 243–255. https://doi.org/10.3221/IGF-ESIS.59.18

IEEE

N. Amoura, H. Kebir, and A. Benzerdjeb, “3D crack identification using the Nelder-Mead Simplex algorithm combined with a random generation of crack positions,” Fracture and Structural Integrity, vol. 16, no. 59, pp. 243–255, 2021, doi: 10.3221/IGF-ESIS.59.18.

MLA

Amoura, Nasreddine, et al. “3D crack identification using the Nelder-Mead Simplex algorithm combined with a random generation of crack positions.” Fracture and Structural Integrity, vol. 16, no. 59, 2021, pp. 243–255. https://doi.org/10.3221/IGF-ESIS.59.18.

Chicago

Amoura, Nasreddine, Hocine Kebir, and Abdelouahab Benzerdjeb. 2021. “3D crack identification using the Nelder-Mead Simplex algorithm combined with a random generation of crack positions.” Fracture and Structural Integrity 16 (59): 243–255. https://doi.org/10.3221/IGF-ESIS.59.18.

Harvard

Amoura, N., Kebir, H. and Benzerdjeb, A. (2021) ‘3D crack identification using the Nelder-Mead Simplex algorithm combined with a random generation of crack positions’, Fracture and Structural Integrity, 16(59), pp. 243–255. doi: 10.3221/IGF-ESIS.59.18.

Vancouver

Amoura N, Kebir H, Benzerdjeb A. 3D crack identification using the Nelder-Mead Simplex algorithm combined with a random generation of crack positions. Fracture and Structural Integrity. 2021;16(59):243-255. doi:10.3221/IGF-ESIS.59.18

BibTeX

@article{amoura2021, author = {Amoura, Nasreddine and Kebir, Hocine and Benzerdjeb, Abdelouahab}, title = {3D crack identification using the Nelder-Mead Simplex algorithm combined with a random generation of crack positions}, journal = {Fracture and Structural Integrity}, year = {2021}, volume = {16}, number = {59}, pages = {243--255}, doi = {10.3221/IGF-ESIS.59.18}, url = {https://doi.org/10.3221/IGF-ESIS.59.18}, issn = {1971-8993} }

RIS

TY - JOUR AU - Amoura, Nasreddine AU - Kebir, Hocine AU - Benzerdjeb, Abdelouahab TI - 3D crack identification using the Nelder-Mead Simplex algorithm combined with a random generation of crack positions JO - Fracture and Structural Integrity T2 - Fracture and Structural Integrity PY - 2021 DA - 2021/12/22 VL - 16 IS - 59 SP - 243 EP - 255 DO - 10.3221/IGF-ESIS.59.18 UR - https://doi.org/10.3221/IGF-ESIS.59.18 SN - 1971-8993 ER -

Licence

Creative Commons Attribution 4.0 International

May be shared and adapted, provided appropriate credit is given. Copyright © 2021 Nasreddine Amoura, Hocine Kebir; Abdelouahab Benzerdjeb.

Copyright 
Authors are allowed to retain both the copyright and the publishing rights of their articles without restrictions.  

Open Access Statement

Fracture and Structural Integrity (F&SI) is an open-access journal which means that all content is freely available without charge to the user or his/her institution. Users are allowed to read, download, copy, distribute, print, search, or link to the full texts of the articles in this journal without asking prior permission from the publisher or the author. This is in accordance with the DOAI definition of open access.

F&SI operates under the Creative Commons Licence Attribution 4.0 International (CC-BY 4.0). This allows to copy and redistribute the material in any medium or format, to remix, transform and build upon the material for any purpose, even commercially, but giving appropriate credit, providing a link to the license, and indicating if changes were made.

Similar articles

Most read articles by the same author(s)