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

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Ghorbanpoor Razieh; SABERI NADJAFI JAFAR; Asri Nik Long Nik Mohd; Erfanian Majid

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Journal: Computational Methods for Differential Equations Year:2020 | Volume:8 | Issue:1 Page(s): 69-84

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Title

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

Author(s)

Ghorbanpoor Razieh | SABERI NADJAFI JAFAR | Asri Nik Long Nik Mohd | Erfanian Majid | Issue Writer Certificate

Keywords

Hypersingular integral equation

Multiple cracks problem

Inclined cracks

Double stress intensity factors

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.

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APA: Copy

Ghorbanpoor, Razieh, SABERI NADJAFI, JAFAR, Asri Nik Long, Nik Mohd, & Erfanian, Majid. (2020). Stress intensity factor for multiple cracks in an infinite plate using hypersingular integral equations. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 8(1), 69-84. SID. https://sid.ir/paper/345751/en

Vancouver: Copy

Ghorbanpoor Razieh, SABERI NADJAFI JAFAR, Asri Nik Long Nik Mohd, Erfanian Majid. Stress intensity factor for multiple cracks in an infinite plate using hypersingular integral equations. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS[Internet]. 2020;8(1):69-84. Available from: https://sid.ir/paper/345751/en

IEEE: Copy

Razieh Ghorbanpoor, JAFAR SABERI NADJAFI, Nik Mohd Asri Nik Long, and Majid Erfanian, “Stress intensity factor for multiple cracks in an infinite plate using hypersingular integral equations,” COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, vol. 8, no. 1, pp. 69–84, 2020, [Online]. Available: https://sid.ir/paper/345751/en

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