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Fracture Modelling of a Cracked Pressurized Cylindrical Structure by Using Extended Iso-Geometric Analysis (X-IGA)

Author

Listed:
  • Soufiane Montassir

    (Faculty of Science and Technology, Sidi Mohamed Ben Abdellah University, B.P. 2202 Route d’Imouzzer, Fez 30000, Morocco)

  • Hassane Moustabchir

    (Laboratory of Science Engineering and Applications (LISA) National School of Applied Sciences, Sidi Mohamed Ben Abdellah University, BP 72 Route d’Imouzzer, Fez 30000, Morocco)

  • Ahmed Elkhalfi

    (Faculty of Science and Technology, Sidi Mohamed Ben Abdellah University, B.P. 2202 Route d’Imouzzer, Fez 30000, Morocco)

  • Maria Luminita Scutaru

    (Department of Mechanical Engineering, Transilvania University of Brașov, B-dul Eroilor 20, 500036 Brașov, Romania)

  • Sorin Vlase

    (Department of Mechanical Engineering, Transilvania University of Brașov, B-dul Eroilor 20, 500036 Brașov, Romania
    Romanian Academy of Technical Sciences, B-dul Dacia 26, 030167 Bucharest, Romania)

Abstract

In this study, a NURBS basis function-based extended iso-geometric analysis (X-IGA) has been implemented to simulate a two-dimensional crack in a pipe under uniform pressure using MATLAB code. Heaviside jump and asymptotic crack-tip enrichment functions are used to model the crack’s behaviour. The accuracy of this investigation was ensured with the stress intensity factors (SIFs) and the J-integral. The X-IGA—based SIFs of a 2-D pipe are compared using MATLAB code with the conventional finite element method available in ABAQUS FEA, and the extended finite element method is compared with a user-defined element. Therefore, the results demonstrate the possibility of using this technique as an alternative to other existing approaches to modeling cracked pipelines.

Suggested Citation

  • Soufiane Montassir & Hassane Moustabchir & Ahmed Elkhalfi & Maria Luminita Scutaru & Sorin Vlase, 2021. "Fracture Modelling of a Cracked Pressurized Cylindrical Structure by Using Extended Iso-Geometric Analysis (X-IGA)," Mathematics, MDPI, vol. 9(23), pages 1-22, November.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:23:p:2990-:d:685401
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    References listed on IDEAS

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    1. Nguyen, Vinh Phu & Anitescu, Cosmin & Bordas, Stéphane P.A. & Rabczuk, Timon, 2015. "Isogeometric analysis: An overview and computer implementation aspects," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 117(C), pages 89-116.
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    Cited by:

    1. Khadija Yakoubi & Ahmed Elkhalfi & Hassane Moustabchir & Abdeslam El Akkad & Maria Luminita Scutaru & Sorin Vlase, 2023. "An Isogeometric Over-Deterministic Method (IG-ODM) to Determine Elastic Stress Intensity Factor (SIF) and T-Stress," Mathematics, MDPI, vol. 11(20), pages 1-12, October.
    2. Maria Luminita Scutaru & Catalin-Iulian Pruncu, 2022. "Mathematical Modeling and Simulation in Mechanics and Dynamic Systems," Mathematics, MDPI, vol. 10(3), pages 1-6, January.

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