Fracture Modelling of a Cracked Pressurized Cylindrical Structure by Using Extended Iso-Geometric Analysis (X-IGA)

Montassir, Soufiane; Moustabchir, Hassane; Elkhalfi, Ahmed; Scutaru, Maria Luminita; Vlase, Sorin

doi:10.3390/math9232990

Open AccessArticle

Fracture Modelling of a Cracked Pressurized Cylindrical Structure by Using Extended Iso-Geometric Analysis (X-IGA)

by

Soufiane Montassir

¹

,

Hassane Moustabchir

²,

Ahmed Elkhalfi

¹

,

Maria Luminita Scutaru

^3,* and

Sorin Vlase

^3,4

¹

Faculty of Science and Technology, Sidi Mohamed Ben Abdellah University, B.P. 2202 Route d’Imouzzer, Fez 30000, Morocco

²

Laboratory of Science Engineering and Applications (LISA) National School of Applied Sciences, Sidi Mohamed Ben Abdellah University, BP 72 Route d’Imouzzer, Fez 30000, Morocco

³

Department of Mechanical Engineering, Transilvania University of Brașov, B-dul Eroilor 20, 500036 Brașov, Romania

⁴

Romanian Academy of Technical Sciences, B-dul Dacia 26, 030167 Bucharest, Romania

^*

Author to whom correspondence should be addressed.

Mathematics 2021, 9(23), 2990; https://doi.org/10.3390/math9232990

Submission received: 13 October 2021 / Revised: 14 November 2021 / Accepted: 16 November 2021 / Published: 23 November 2021

(This article belongs to the Special Issue Mathematical Modeling and Simulation in Mechanics and Dynamic Systems)

Download

Browse Figures

Versions Notes

Abstract

In this study, a NURBS basis function-based extended iso-geometric analysis (X-IGA) has been implemented to simulate a two-dimensional crack in a pipe under uniform pressure using MATLAB code. Heaviside jump and asymptotic crack-tip enrichment functions are used to model the crack’s behaviour. The accuracy of this investigation was ensured with the stress intensity factors (SIFs) and the J-integral. The X-IGA—based SIFs of a 2-D pipe are compared using MATLAB code with the conventional finite element method available in ABAQUS FEA, and the extended finite element method is compared with a user-defined element. Therefore, the results demonstrate the possibility of using this technique as an alternative to other existing approaches to modeling cracked pipelines.

Keywords: extended iso-geometric analysis; extended finite element method; crack; pipeline; ABAQUS

Share and Cite

MDPI and ACS Style

Montassir, S.; Moustabchir, H.; Elkhalfi, A.; Scutaru, M.L.; Vlase, S. Fracture Modelling of a Cracked Pressurized Cylindrical Structure by Using Extended Iso-Geometric Analysis (X-IGA). Mathematics 2021, 9, 2990. https://doi.org/10.3390/math9232990

AMA Style

Montassir S, Moustabchir H, Elkhalfi A, Scutaru ML, Vlase S. Fracture Modelling of a Cracked Pressurized Cylindrical Structure by Using Extended Iso-Geometric Analysis (X-IGA). Mathematics. 2021; 9(23):2990. https://doi.org/10.3390/math9232990

Chicago/Turabian Style

Montassir, Soufiane, Hassane Moustabchir, Ahmed Elkhalfi, Maria Luminita Scutaru, and Sorin Vlase. 2021. "Fracture Modelling of a Cracked Pressurized Cylindrical Structure by Using Extended Iso-Geometric Analysis (X-IGA)" Mathematics 9, no. 23: 2990. https://doi.org/10.3390/math9232990

APA Style

Montassir, S., Moustabchir, H., Elkhalfi, A., Scutaru, M. L., & Vlase, S. (2021). Fracture Modelling of a Cracked Pressurized Cylindrical Structure by Using Extended Iso-Geometric Analysis (X-IGA). Mathematics, 9(23), 2990. https://doi.org/10.3390/math9232990

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Menu

Fracture Modelling of a Cracked Pressurized Cylindrical Structure by Using Extended Iso-Geometric Analysis (X-IGA)

Abstract

Share and Cite

Article Metrics

Article Access Statistics

Further Information

Guidelines

MDPI Initiatives

Follow MDPI