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An Isogeometric Over-Deterministic Method (IG-ODM) to Determine Elastic Stress Intensity Factor (SIF) and T-Stress

Author

Listed:
  • Khadija Yakoubi

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

  • Ahmed Elkhalfi

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

  • Hassane Moustabchir

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

  • Abdeslam El Akkad

    (Faculty of Science and Technology, Sidi Mohamed Ben Abdellah University, Fez 30000, Morocco
    Département de Mathématiques, Centre Regional des Métiers d’Education et de Formation de Fès Meknès (CRMEF Fès-Meknès), Rue de Koweit 49, Ville Nouvelle, Fez 30050, Morocco)

  • Maria Luminita Scutaru

    (Department of Mechanical Engineering, Faculty of Mechanical Engineering, Transylvania University of Brasov, B-dul Eroilor 29, 500036 Brasov, Romania)

  • Sorin Vlase

    (Department of Mechanical Engineering, Faculty of Mechanical Engineering, Transylvania University of Brasov, B-dul Eroilor 29, 500036 Brasov, Romania
    Technical Sciences Academy of Romania, B-dul Dacia 26, 030167 Bucharest, Romania)

Abstract

In order to examine the significance of Stress Intensity Factor and T-stress (K-T parameters) in modeling pressure-cracked structures, we propose a novel method known as the Isogeometric Over-Deterministic Method IG-ODM. IG-ODM utilizes the computation of stress and displacement fields through Extended Isogeometric Analysis to improve the geometry and enhance the crack. Subsequently, these results are incorporated into the Williams expression, resulting in a set of deterministic equations that can be solved using a common solving method; this particular combination has never been attempted before. IG-ODM enables the computation of stress intensity factor SIF, T-stress, and higher-order parameters in the Williams expansion. To validate the effectiveness of this method, we conducted tests on a single-edge uniaxial-stress-cracked plate and a central uniaxial-stress-cracked plate. The results showed an error ranging from 0.06% to 2%. The obtained results demonstrate accuracy and satisfaction when compared to existing findings.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:20:p:4293-:d:1260086
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    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. 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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