Numerical solutions for a branch crack in a half-plane

Document Type : Research Paper

Authors

1 Etrat School, Department of Education of South Khorasan, Namjo Street, Qaenat, 100190 South Khorasan, Iran.

2 Department of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia.

3 Department of Physics, Qaenat Branch, Islamic Azad University, Qaenat, Iran.

Abstract

The branch crack subjected to a remote stress in a half-plane of elasticity is modeled using singular integral equations (SIE) based on the distributed dislocation and complex potential method.  Numerical solution to the obtained SIE is discovered using the appropriate quadrature formulas.  Numerical works exhibit the nature of stress intensity factors (SIF) for each branch.

Keywords

Main Subjects

Computational Methods for Differential Equations
Volume 13, Issue 4
October 2025
Pages 1189-1200

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History

  • Receive Date: 24 October 2023
  • Revise Date: 16 November 2024
  • Accept Date: 23 December 2024

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