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A computational approach for crack identification in plate structures using XFEM, XIGA, PSO and Jaya algorithm

Samir Khatir (UGent) and Magd Abdel Wahab (UGent)
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Abstract
In this paper, a creative and intelligent approach based on an inverse problem that accurately predicts crack location in plate structures is presented. The eXtended Finite Element (XFEM) and the eXtended IsoGeometric Analysis (XIGA) are combined with two optimization techniques, namely Particle Swarm Optimization (PSO) and Jaya algorithm to predict the crack location. The superiority of XIGA is demonstrated by using various NURBS orders to reduce the number of elements, provide fast simulation and achieve best convergence compared with XFEM. Four numerical-optimization techniques are considered in this paper, namely XFEM-Jaya, XIGA-Jaya, XFEM-PSO and XIGA-PSO. In the optimization techniques, the objective function minimizes the difference between the calculated and measured displacements and strains. Convergence studies for various positions of a crack and a hole in plates are performed and the results show that Jaya algorithm significantly performs more accurate and faster than PSO. In addition, the proposed techniques are validated using experimental data and another numerical-optimization technique, i.e. XFEM coupled with Genetic Algorithm (GA), presented in literature. The comparisons show that XIGA-Jaya performs the best of all considered techniques.
Keywords
XIGA, XFEM, PSO, Jaya algorithm, Inverse problem, Crack identification, Plate structures, FINITE-ELEMENT-METHOD, EXTENDED ISOGEOMETRIC ANALYSIS, TOPOLOGY OPTIMIZATION, VIBRATION ANALYSIS, INTERFACIAL CRACK, DAMAGE DETECTION, GROWTH ANALYSIS, LEVEL SETS, FLAWS, FRACTURE

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MLA
Khatir, Samir, and Magd Abdel Wahab. “A Computational Approach for Crack Identification in Plate Structures Using XFEM, XIGA, PSO and Jaya Algorithm.” THEORETICAL AND APPLIED FRACTURE MECHANICS, vol. 103, 2019.
APA
Khatir, S., & Abdel Wahab, M. (2019). A computational approach for crack identification in plate structures using XFEM, XIGA, PSO and Jaya algorithm. THEORETICAL AND APPLIED FRACTURE MECHANICS, 103.
Chicago author-date
Khatir, Samir, and Magd Abdel Wahab. 2019. “A Computational Approach for Crack Identification in Plate Structures Using XFEM, XIGA, PSO and Jaya Algorithm.” THEORETICAL AND APPLIED FRACTURE MECHANICS 103.
Chicago author-date (all authors)
Khatir, Samir, and Magd Abdel Wahab. 2019. “A Computational Approach for Crack Identification in Plate Structures Using XFEM, XIGA, PSO and Jaya Algorithm.” THEORETICAL AND APPLIED FRACTURE MECHANICS 103.
Vancouver
1.
Khatir S, Abdel Wahab M. A computational approach for crack identification in plate structures using XFEM, XIGA, PSO and Jaya algorithm. THEORETICAL AND APPLIED FRACTURE MECHANICS. 2019;103.
IEEE
[1]
S. Khatir and M. Abdel Wahab, “A computational approach for crack identification in plate structures using XFEM, XIGA, PSO and Jaya algorithm,” THEORETICAL AND APPLIED FRACTURE MECHANICS, vol. 103, 2019.
@article{8615160,
  abstract     = {In this paper, a creative and intelligent approach based on an inverse problem that accurately predicts crack location in plate structures is presented. The eXtended Finite Element (XFEM) and the eXtended IsoGeometric Analysis (XIGA) are combined with two optimization techniques, namely Particle Swarm Optimization (PSO) and Jaya algorithm to predict the crack location. The superiority of XIGA is demonstrated by using various NURBS orders to reduce the number of elements, provide fast simulation and achieve best convergence compared with XFEM. Four numerical-optimization techniques are considered in this paper, namely XFEM-Jaya, XIGA-Jaya, XFEM-PSO and XIGA-PSO. In the optimization techniques, the objective function minimizes the difference between the calculated and measured displacements and strains. Convergence studies for various positions of a crack and a hole in plates are performed and the results show that Jaya algorithm significantly performs more accurate and faster than PSO. In addition, the proposed techniques are validated using experimental data and another numerical-optimization technique, i.e. XFEM coupled with Genetic Algorithm (GA), presented in literature. The comparisons show that XIGA-Jaya performs the best of all considered techniques.},
  articleno    = {102240},
  author       = {Khatir, Samir and Abdel Wahab, Magd},
  issn         = {0167-8442},
  journal      = {THEORETICAL AND APPLIED FRACTURE MECHANICS},
  keywords     = {XIGA,XFEM,PSO,Jaya algorithm,Inverse problem,Crack identification,Plate structures,FINITE-ELEMENT-METHOD,EXTENDED ISOGEOMETRIC ANALYSIS,TOPOLOGY OPTIMIZATION,VIBRATION ANALYSIS,INTERFACIAL CRACK,DAMAGE DETECTION,GROWTH ANALYSIS,LEVEL SETS,FLAWS,FRACTURE},
  language     = {eng},
  title        = {A computational approach for crack identification in plate structures using XFEM, XIGA, PSO and Jaya algorithm},
  url          = {http://dx.doi.org/10.1016/j.tafmec.2019.102240},
  volume       = {103},
  year         = {2019},
}

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