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Stress intensity factor for multiple cracks in an infinite plate using hypersingular integral equations | ||
Computational Methods for Differential Equations | ||
مقاله 5، دوره 8، شماره 1، فروردین 2020، صفحه 69-84 اصل مقاله (1.05 M) | ||
نوع مقاله: Research Paper | ||
نویسندگان | ||
Razieh Ghorbanpoor1؛ Jafar Saberi_Nadjafi* 2؛ Nik Mohd Assri Nik Long3؛ Majid Erfanian4 | ||
1Department of Applied Mathematics, Ferdowsi University of Mashhad, Mash- had, Iran | ||
2Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran. | ||
3Department of Mathematics, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia | ||
4Department of Science, School of Mathematical Sciences, University of Zabol, Zabol, Iran | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
Hypersingular integral equation؛ Multiple cracks problem؛ Inclined cracks, Double stress intensity factors | ||
آمار تعداد مشاهده مقاله: 562 تعداد دریافت فایل اصل مقاله: 407 |