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Numerical Solution for an Epicycloid Crack
Joint Authors
Asri Nik Long, Nik Mohd
Koo, Lee Feng
Jin, Wong Tze
Eshkuvatov, Z. K.
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-13
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
A flat crack, Ω, is lying in a three-dimensional homogenous isotropic elastic solid subjected to shear loading.
A mathematical formulation is developed based on the mixed boundary values for Ω such that the problem of finding the resulting force can be written in the form of hypersingular integral equation.
Employing conformal mapping, the integral equation is transformed to a similar equation over a circular region, D.
By making a suitable representation of hypersingular integral equation, the problem is reduced to solve a system of linear equations.
Numerical solution for the shear stress intensity factors, maximum stress intensity, and strain energy release rate is obtained.
Our results give an excellent agreement to the existing asymptotic solutions.
American Psychological Association (APA)
Asri Nik Long, Nik Mohd& Koo, Lee Feng& Jin, Wong Tze& Eshkuvatov, Z. K.. 2014. Numerical Solution for an Epicycloid Crack. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-455008
Modern Language Association (MLA)
Asri Nik Long, Nik Mohd…[et al.]. Numerical Solution for an Epicycloid Crack. Journal of Applied Mathematics No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-455008
American Medical Association (AMA)
Asri Nik Long, Nik Mohd& Koo, Lee Feng& Jin, Wong Tze& Eshkuvatov, Z. K.. Numerical Solution for an Epicycloid Crack. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-455008
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-455008