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Singular integral equations for a crack subjected normal stress in a heated plate


Citation

Zhuang, S.K. and Nik Long, N.M.A. and Hamzah, K.B. and Senu, N. (2024) Singular integral equations for a crack subjected normal stress in a heated plate. Advances in Mathematics: Scientific Journal, 13 (3). pp. 297-309. ISSN 1857-8365; eISSN: 1857-8438

Abstract

In this paper, a crack in a heated plate is investigated, subjected to normal stress. Employing the relationship between the uniform and perturbation fields, as well as complex potential functions and stresses, the problems of heat conduction and heat stress are modeled as singular integral equations. The derivatives of the crack opening displacement function and the temperature jump function serve as the unknown functions. Gauss integration rules are applied to solve the obtained equations numerically. Analysis of the stress intensity factors(SIFs) for some particular crack configurations is presented.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.37418/amsj.13.3.3
Publisher: Union of Researchers of Macedonia
Keywords: Stress intensity factor; Singular integral equations; Complex potentials; Crack problems
Depositing User: Ms. Nuraida Ibrahim
Date Deposited: 29 May 2025 06:49
Last Modified: 29 May 2025 06:49
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.37418/amsj.13.3.3
URI: http://psasir.upm.edu.my/id/eprint/117549
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