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, Muhammad Umar Farooq

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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.
Original languageEnglish
Article number507
Number of pages10
JournalMathematics
Volume9
Issue number5
DOIs
Publication statusPublished - 2 Mar 2021

Keywords

  • T-stress
  • X-FEM
  • notch
  • pipe
  • stress difference method (SDM)

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