Multiple Inclined Edge Cracks in Two Bonded Half-Planes Subjected to Normal Stress

Authors

  • Nur Hazirah Husin Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
  • Nik Mohd Asri Nik Long Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
  • Norazak Senu Department of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
  • Khairum Hamzah Faculty of Mechanical and Manufacturing Engineering Technology, Universiti Teknikal Malaysia Melaka, Hang Tuah Jaya, Durian Tunggal, 76100, Melaka, Malaysia

DOI:

https://doi.org/10.37934/aram.132.1.7082

Keywords:

Edge crack, normal stress, modified complex potentials, singular integral equation, two bonded half-planes, stress intensity factor

Abstract

This paper considers multiple inclined edge cracks under normal stress originating at the interface of two bonded half-planes. The crack problem is formulated into the singular integral equation (SIE) using a modified complex potential (MCP) with the conditions of continuity for traction and displacement. A semi-open quadrature approach is applied for the numerical solution of the SIE. The behavior of stress intensity factors (SIFs) for both Modes I and II at all crack tips is computed and demonstrated graphically. The crack configuration, the elastic constant ratios of the planes, the inclination angle, and the distance between cracks have significantly influenced Modes I and II SIFs. By analyzing the behavior of SIF near the crack tip, engineers may predict the lifespan of the building structures.

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Author Biographies

Nur Hazirah Husin, Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia

nurhazirah.husin@gmail.com

Nik Mohd Asri Nik Long, Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia

nmasri@upm.edu.my

Norazak Senu, Department of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia

norazak@upm.edu.my

Khairum Hamzah, Faculty of Mechanical and Manufacturing Engineering Technology, Universiti Teknikal Malaysia Melaka, Hang Tuah Jaya, Durian Tunggal, 76100, Melaka, Malaysia

khairum@utem.edu.my

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Published

2025-01-30

How to Cite

Husin, N. H. ., Nik Long, N. M. A. ., Senu, N. ., & Hamzah, K. . (2025). Multiple Inclined Edge Cracks in Two Bonded Half-Planes Subjected to Normal Stress. Journal of Advanced Research in Applied Mechanics, 132(1), 70–82. https://doi.org/10.37934/aram.132.1.7082

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