An Isogeometric Over-Deterministic Method (IG-ODM) to Determine Elastic Stress Intensity Factor (SIF) and T-Stress

Khadija Yakoubi (), Ahmed Elkhalfi (), Hassane Moustabchir, Abdeslam El Akkad, Maria Luminita Scutaru () and Sorin Vlase
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Khadija Yakoubi: Faculty of Science and Technology, Sidi Mohamed Ben Abdellah University, Fez 30000, Morocco
Ahmed Elkhalfi: Faculty of Science and Technology, Sidi Mohamed Ben Abdellah University, Fez 30000, Morocco
Hassane Moustabchir: Laboratory of Systems Engineering and Applications (LISA), Sidi Mohamed Ben Abdellah University, Fez 30000, Morocco
Abdeslam El Akkad: Faculty of Science and Technology, Sidi Mohamed Ben Abdellah University, Fez 30000, Morocco
Maria Luminita Scutaru: Department of Mechanical Engineering, Faculty of Mechanical Engineering, Transylvania University of Brasov, B-dul Eroilor 29, 500036 Brasov, Romania
Sorin Vlase: Department of Mechanical Engineering, Faculty of Mechanical Engineering, Transylvania University of Brasov, B-dul Eroilor 29, 500036 Brasov, Romania

Mathematics, 2023, vol. 11, issue 20, 1-12

Abstract: In order to examine the significance of Stress Intensity Factor and T-stress (K-T parameters) in modeling pressure-cracked structures, we propose a novel method known as the Isogeometric Over-Deterministic Method IG-ODM. IG-ODM utilizes the computation of stress and displacement fields through Extended Isogeometric Analysis to improve the geometry and enhance the crack. Subsequently, these results are incorporated into the Williams expression, resulting in a set of deterministic equations that can be solved using a common solving method; this particular combination has never been attempted before. IG-ODM enables the computation of stress intensity factor SIF, T-stress, and higher-order parameters in the Williams expansion. To validate the effectiveness of this method, we conducted tests on a single-edge uniaxial-stress-cracked plate and a central uniaxial-stress-cracked plate. The results showed an error ranging from 0.06% to 2%. The obtained results demonstrate accuracy and satisfaction when compared to existing findings.

Keywords: T-stress; X-IGA; over-deterministic method; IG-ODM; abaqus; MATLAB; NURBS (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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