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

MuhammadUmar Farooq¹  CatalinIulian Pruncu²  A. Elkhalfi³  K. Yakoubi³  S. Montassir³  Hassane Moustabchir⁴  J. Arbaoui⁵ 

[1] Department of Industrial and Manufacturing Engineering, University of Engineering and Technology, Lahore 54890, Pakistan;Department of Mechanical Engineering, Imperial College London, Exhibition Rd., London SW7 2AK, UK;Faculty of Science and Technology, Sidi Mohamed Ben Abdellah University, Fez 30000, Morocco;Laboratory of Systems Engineering and Applications (LISA), National School of Applied Sciences of Fez, Sidi Mohamed Ben Abdellah University, Fez 30000, Morocco;National School of Applied Sciences of Safi, University Cadi Ayad, Marrakesh 40000, Morocco;

关键词: T-stress;    X-FEM;    notch;    pipe;    stress difference method (SDM);   

DOI  :  10.3390/math9050507

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown