Numerical optimization by the PFEMCT-SIF method of the crack propagation of a linear elastic material

Introduction/purpose: This study investigates the influence of contour numbers surrounding the crack tip on stress intensity factors (SIFs) using the Propagation Finite Element Method Crack Tip Stress Intensity Factor (PFEMCT-SIF) approach. It also compares the maximum circumferential stress criteri...

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Main Authors: Mohammed Bentahar, Noureddine Mahmoudi, Youcef Moulai Arbi
Format: Article
Language:English
Published: University of Defence in Belgrade 2025-01-01
Series:Vojnotehnički Glasnik
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Online Access:https://scindeks.ceon.rs/article.aspx?artid=0042-84692501136B
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author Mohammed Bentahar
Noureddine Mahmoudi
Youcef Moulai Arbi
author_facet Mohammed Bentahar
Noureddine Mahmoudi
Youcef Moulai Arbi
author_sort Mohammed Bentahar
collection DOAJ
description Introduction/purpose: This study investigates the influence of contour numbers surrounding the crack tip on stress intensity factors (SIFs) using the Propagation Finite Element Method Crack Tip Stress Intensity Factor (PFEMCT-SIF) approach. It also compares the maximum circumferential stress criterion (MCSC) and the Richard criterion for crack propagation prediction. Methods: A finite element code written in Visual Fortran was developed to model crack tips with 3, 5, 10, 15 and 20 contours using 4-node quadratic CPE4 elements. Abaqus software was utilized to calculate SIFs and crack orientation angles. Horizontal and inclined cracks were analyzed in a steel plate under tensile loading. The results were validated against analytical solutions and previous numerical studies. Results: The 10-contour model showed the best agreement with analytical SIF values. Increasing contour numbers improved SIF accuracy for horizontal cracks, but excessive refinement led to divergence for inclined cracks. The MCSC and the Richard criterion produced comparable crack trajectories, with the MCSC demonstrating slightly higher precision. Conclusions: The PFEMCT-SIF method effectively evaluates SIFs and predicts crack propagation paths. A 10-contour crack tip model balances accuracy and computational efficiency. The study highlights the importance of optimizing crack tip mesh refinement in fracture mechanics simulations.
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issn 0042-8469
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publishDate 2025-01-01
publisher University of Defence in Belgrade
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spelling doaj-art-9c712ea5992b45cbad392c72e3fb84152025-02-07T10:20:53ZengUniversity of Defence in BelgradeVojnotehnički Glasnik0042-84692217-47532025-01-01113616110.5937/vojtehg73-52739Numerical optimization by the PFEMCT-SIF method of the crack propagation of a linear elastic materialMohammed Bentahar0https://orcid.org/0000-0002-2166-678XNoureddine Mahmoudi1https://orcid.org/0000-0002-9740-0857Youcef Moulai Arbi2https://orcid.org/0000-0002-6534-8820University of Saida Dr. Moulay Tahar, Faculty of Technology, Department of Civil Engineering and Hydraulics, Saida, People's Democratic Republic of AlgeriaUniversity of Saida Dr. Moulay Tahar, Faculty of Technology, Department of Civil Engineering and Hydraulics, Saida, People's Democratic Republic of AlgeriaMustapha Stambouli University, Laboratory of Quantum Physics of Matter and Mathematical Modeling (LPQ3M), Mascara, People's Democratic Republic of AlgeriaIntroduction/purpose: This study investigates the influence of contour numbers surrounding the crack tip on stress intensity factors (SIFs) using the Propagation Finite Element Method Crack Tip Stress Intensity Factor (PFEMCT-SIF) approach. It also compares the maximum circumferential stress criterion (MCSC) and the Richard criterion for crack propagation prediction. Methods: A finite element code written in Visual Fortran was developed to model crack tips with 3, 5, 10, 15 and 20 contours using 4-node quadratic CPE4 elements. Abaqus software was utilized to calculate SIFs and crack orientation angles. Horizontal and inclined cracks were analyzed in a steel plate under tensile loading. The results were validated against analytical solutions and previous numerical studies. Results: The 10-contour model showed the best agreement with analytical SIF values. Increasing contour numbers improved SIF accuracy for horizontal cracks, but excessive refinement led to divergence for inclined cracks. The MCSC and the Richard criterion produced comparable crack trajectories, with the MCSC demonstrating slightly higher precision. Conclusions: The PFEMCT-SIF method effectively evaluates SIFs and predicts crack propagation paths. A 10-contour crack tip model balances accuracy and computational efficiency. The study highlights the importance of optimizing crack tip mesh refinement in fracture mechanics simulations.https://scindeks.ceon.rs/article.aspx?artid=0042-84692501136Bcrack tipcrack propagationsfemct-sif methodmcsc and richard criterioncontours
spellingShingle Mohammed Bentahar
Noureddine Mahmoudi
Youcef Moulai Arbi
Numerical optimization by the PFEMCT-SIF method of the crack propagation of a linear elastic material
Vojnotehnički Glasnik
crack tip
crack propagation
sfemct-sif method
mcsc and richard criterion
contours
title Numerical optimization by the PFEMCT-SIF method of the crack propagation of a linear elastic material
title_full Numerical optimization by the PFEMCT-SIF method of the crack propagation of a linear elastic material
title_fullStr Numerical optimization by the PFEMCT-SIF method of the crack propagation of a linear elastic material
title_full_unstemmed Numerical optimization by the PFEMCT-SIF method of the crack propagation of a linear elastic material
title_short Numerical optimization by the PFEMCT-SIF method of the crack propagation of a linear elastic material
title_sort numerical optimization by the pfemct sif method of the crack propagation of a linear elastic material
topic crack tip
crack propagation
sfemct-sif method
mcsc and richard criterion
contours
url https://scindeks.ceon.rs/article.aspx?artid=0042-84692501136B
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AT noureddinemahmoudi numericaloptimizationbythepfemctsifmethodofthecrackpropagationofalinearelasticmaterial
AT youcefmoulaiarbi numericaloptimizationbythepfemctsifmethodofthecrackpropagationofalinearelasticmaterial