An extended finite element method (XFEM) study on the elastic T-stress evaluations for a notch in a pipe steel exposed to internal pressure

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Yakoubi, Khadija and Montassir, Soufiane and Moustabchir, Hassane and Elkhalfi, Ahmed and Pruncu, Catalin Iulian and Arbaoui, Jamal and Farooq, Muhammad Umar (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, 9 (5). 507. (https://doi.org/10.3390/math9050507)

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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.

ORCID iDs

Yakoubi, Khadija, Montassir, Soufiane, Moustabchir, Hassane, Elkhalfi, Ahmed, Pruncu, Catalin Iulian ORCID logoORCID: https://orcid.org/0000-0002-4926-2189, Arbaoui, Jamal and Farooq, Muhammad Umar;
CORE (COnnecting REpositories)