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An Extended Finite Element Method (XFEM) Study on the Elastic T-Stress Evaluations for a Notch in a Pipe Steel Exposed to Internal Pressure

Author

Listed:
  • Khadija Yakoubi

    (Faculty of Science and Technology, Sidi Mohamed Ben Abdellah University, Fez 30000, Morocco)

  • Soufiane Montassir

    (Faculty of Science and Technology, Sidi Mohamed Ben Abdellah University, Fez 30000, Morocco)

  • Hassane Moustabchir

    (Laboratory of Systems Engineering and Applications (LISA), National School of Applied Sciences of Fez, Sidi Mohamed Ben Abdellah University, Fez 30000, Morocco)

  • Ahmed Elkhalfi

    (Faculty of Science and Technology, Sidi Mohamed Ben Abdellah University, Fez 30000, Morocco)

  • Catalin Iulian Pruncu

    (Department of Mechanical Engineering, Imperial College London, Exhibition Rd., London SW7 2AK, UK
    Design, Manufacturing & Engineering Management, University of Strathclyde, Glasgow G1 1XJ, UK)

  • Jamal Arbaoui

    (National School of Applied Sciences of Safi, University Cadi Ayad, Marrakesh 40000, Morocco)

  • Muhammad Umar Farooq

    (Department of Industrial and Manufacturing Engineering, University of Engineering and Technology, Lahore 54890, Pakistan
    Department of Industrial and Systems Engineering, Advanced Institute of Science and Technology (KAIST), Daejeon 34141, Korea)

Abstract

The work investigates the importance of the K-T approach in the modelling of pressure cracked structures. T-stress is the constant in the second term of the Williams expression; it is often negligible, but recent literature has shown that there are cases where T-stress plays the role of opening the crack, also T-stress improves elastic modeling at the point of crack. In this research study, the most important effects of the T-stress are collected and analyzed. A numerical analysis was carried out by the extended finite element method (X-FEM) to analyze T-stress in an arc with external notch under internal pressure. The different stress method (SDM) is employed to calculate T-stress. Moreover, the influence of the geometry of the notch on the biaxiality is also examined. The biaxiality gave us a view on the initiation of the crack. The results are extended with a comparison to previous literature to validate the promising investigations.

Suggested Citation

  • Khadija Yakoubi & Soufiane Montassir & Hassane Moustabchir & Ahmed Elkhalfi & Catalin Iulian Pruncu & Jamal Arbaoui & Muhammad Umar Farooq, 2021. "An Extended Finite Element Method (XFEM) Study on the Elastic T-Stress Evaluations for a Notch in a Pipe Steel Exposed to Internal Pressure," Mathematics, MDPI, vol. 9(5), pages 1-10, March.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:5:p:507-:d:508658
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    Citations

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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. Lahcen El Ouadefli & Omar El Moutea & Abdeslam El Akkad & Ahmed Elkhalfi & Sorin Vlase & Maria Luminița Scutaru, 2023. "Mixed Isogeometric Analysis of the Brinkman Equation," Mathematics, MDPI, vol. 11(12), pages 1-20, June.

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