Citation
Abstract
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
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Additional Metadata
Item Type: | Article |
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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 |
Statistic Details: | View Download Statistic |
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