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Numerical solution for crack phenomenon in dissimilar materials under various mechanical loadings


Hamzah, Khairum and Nik Long, Nik Mohd Asri and Senu, Norazak and Eshkuvatov, Zainidin K. (2021) Numerical solution for crack phenomenon in dissimilar materials under various mechanical loadings. Symmetry, 13 (2). art. no. 235. pp. 1-20. ISSN 2073-8994


A new mathematical model is developed for the analytical study of two cracks in the upper plane of dissimilar materials under various mechanical loadings, i.e., shear, normal, tearing and mixed stresses with different geometry conditions. This problem is developed into a new mathematical model of hypersingular integral equations (HSIEs) by using the modified complex potentials (MCPs) function and the continuity conditions of the resultant force and displacement with the crack opening displacement (COD) function as the unknown. The newly obtained mathematical model of HSIEs are solved numerically by utilizing the appropriate quadrature formulas. Numerical computations and graphical demonstrations are carried out to observe the profound effect of the elastic constants ratio, mode of stresses and geometry conditions on the dimensionless stress intensity factors (SIFs) at the crack tips.

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Official URL or Download Paper: https://www.mdpi.com/2073-8994/13/2/235

Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.3390/sym13020235
Publisher: MDPI
Keywords: Two cracks; Dissimilar materials; Hypersingular integral equations; Stress intensity factors
Depositing User: Ms. Nur Faseha Mohd Kadim
Date Deposited: 05 Apr 2023 02:05
Last Modified: 05 Apr 2023 02:05
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3390/sym13020235
URI: http://psasir.upm.edu.my/id/eprint/94392
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