3D crack identification using the Nelder-Mead Simplex algorithm combined with a random generation of crack positions
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 o...
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Gruppo Italiano Frattura
2021-12-01
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| Series: | Fracture and Structural Integrity |
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| Online Access: | https://www.fracturae.com/index.php/fis/article/view/3270 |
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| author | Nasreddine Amoura Hocine Kebir Abdelouahab Benzerdjeb |
| author_facet | Nasreddine Amoura Hocine Kebir Abdelouahab Benzerdjeb |
| author_sort | Nasreddine Amoura |
| collection | DOAJ |
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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.
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| format | Article |
| id | doaj-art-0fa5a6f53bd54b1c85d57a349d87f8c0 |
| institution | Kabale University |
| issn | 1971-8993 |
| language | English |
| publishDate | 2021-12-01 |
| publisher | Gruppo Italiano Frattura |
| record_format | Article |
| series | Fracture and Structural Integrity |
| spelling | doaj-art-0fa5a6f53bd54b1c85d57a349d87f8c02024-12-02T05:46:42ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932021-12-0116593D crack identification using the Nelder-Mead Simplex algorithm combined with a random generation of crack positionsNasreddine Amoura0Hocine Kebir1Abdelouahab Benzerdjeb2LMP2M laboratory, Yahia Fares University of Medea, New Urban Pole, 26000, Algeria University of Technology of Compiegne, Roberval laboratory (UMR 7337), BP 20529, 60205, FRANCELaboratory of Applied Mechanics, University of Sciences and Technology Mohamed Boudiaf, Oran, 31000, ALGERIA 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. https://www.fracturae.com/index.php/fis/article/view/3270Crack identificationBoundary elements methodNelder-Mead SimplexOptimization |
| spellingShingle | Nasreddine Amoura Hocine Kebir Abdelouahab Benzerdjeb 3D crack identification using the Nelder-Mead Simplex algorithm combined with a random generation of crack positions Fracture and Structural Integrity Crack identification Boundary elements method Nelder-Mead Simplex Optimization |
| title | 3D crack identification using the Nelder-Mead Simplex algorithm combined with a random generation of crack positions |
| title_full | 3D crack identification using the Nelder-Mead Simplex algorithm combined with a random generation of crack positions |
| title_fullStr | 3D crack identification using the Nelder-Mead Simplex algorithm combined with a random generation of crack positions |
| title_full_unstemmed | 3D crack identification using the Nelder-Mead Simplex algorithm combined with a random generation of crack positions |
| title_short | 3D crack identification using the Nelder-Mead Simplex algorithm combined with a random generation of crack positions |
| title_sort | 3d crack identification using the nelder mead simplex algorithm combined with a random generation of crack positions |
| topic | Crack identification Boundary elements method Nelder-Mead Simplex Optimization |
| url | https://www.fracturae.com/index.php/fis/article/view/3270 |
| work_keys_str_mv | AT nasreddineamoura 3dcrackidentificationusingtheneldermeadsimplexalgorithmcombinedwitharandomgenerationofcrackpositions AT hocinekebir 3dcrackidentificationusingtheneldermeadsimplexalgorithmcombinedwitharandomgenerationofcrackpositions AT abdelouahabbenzerdjeb 3dcrackidentificationusingtheneldermeadsimplexalgorithmcombinedwitharandomgenerationofcrackpositions |