University of Tabriz Computational Methods for Differential Equations 2345-3982 13 4 2025 10 01 Numerical solutions for a branch crack in a half-plane 1189 1200 18997 10.22034/cmde.2024.58971.2499 EN Raziyeh Ghorbanpoor Etrat School, Department of Education of South Khorasan, Namjo Street, Qaenat, 100190 South Khorasan, Iran. Nik Mohd Asri Nik Long Department of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia. Mohammad Hasan Abdi Department of Physics, Qaenat Branch, Islamic Azad University, Qaenat, Iran. Journal Article 2023 10 24 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. singular integral equation branch crack problem complex potential method stress intensity factors half-plane elasticity https://cmde.tabrizu.ac.ir/article_18997_bcafae60ce83b068cda13a242698264e.pdf