Stress intensity factor for multiple cracks in an infinite plate using hypersingular integral equations

Document Type : Research Paper


1 Department of Applied Mathematics, Ferdowsi University of Mashhad, Mash- had, Iran

2 Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran.

3 Department of Mathematics, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia

4 Department of Science, School of Mathematical Sciences, University of Zabol, Zabol, Iran


In this paper, numerical solutions of multiple cracks problems in an infinite plate are studied. Hypersingular integral equations (hieq) for the cracks are formulated using the complex potential method. For all kernels such as regular or hypersingular kernels, we are using the appropriate quadrature formulas to solve and evaluate the unknown functions numerically. Furthermore, by using this equation the stress intensity factor (SIF) was calculated for crack tips. For two serial cracks (horizontal) and two dissimilar cracks (horizontal and inclined), our numerical results agree with the previous works.


Volume 8, Issue 1
January 2020
Pages 69-84
  • Receive Date: 18 January 2018
  • Revise Date: 24 November 2018
  • Accept Date: 16 December 2018
  • First Publish Date: 01 January 2020