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

Khadija Yakoubi, Soufiane Montassir, Hassane Moustabchir, Ahmed Elkhalfi, Catalin Iulian Pruncu, Jamal Arbaoui and Muhammad Umar Farooq
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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
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

Mathematics, 2021, vol. 9, issue 5, 1-10

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.

Keywords: T-stress; X-FEM; notch; pipe; stress difference method (SDM) (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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