Title of article
Stress intensity factor for multiple cracks in an infinite plate using hypersingular integral equations
Author/Authors
Ghorbanpoor, Razieh Department of Applied Mathematics - Ferdowsi University of Mashhad, Mashhad, Iran , Saberi_Nadjafi, Jafar Department of Applied Mathematics - Ferdowsi University of Mashhad, Mashhad, Iran , Assri Nik Long, Nik Mohd Department of Mathematics - Universiti Putra Malaysia, Selangor, Malaysia , Erfanianorcid, Majid Department of Science - School of Mathematical Sciences - University of Zabol, Zabol, Iran
Pages
16
From page
69
To page
84
Abstract
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.
Keywords
Hypersingular integral equation , Multiple cracks problem , Inclined cracks , Double stress intensity factors
Journal title
Astroparticle Physics
Serial Year
2020
Record number
2464638
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