Computation of Energy Release Rates for a Nearly Circular Crack | Zendy

Nik Mohd Asri Nik Long | Zendy; Lee Feng Koo | Zendy; Z. K. Eshkuvatov | Zendy

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Computation of Energy Release Rates for a Nearly Circular Crack

Author(s) -

Nik Mohd Asri Nik Long,

Lee Feng Koo,

Z. K. Eshkuvatov

Publication year - 2011

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2011/741075

Subject(s) - conformal map , computation , strain energy release rate , mathematics , elasticity (physics) , mathematical analysis , integral equation , plane (geometry) , domain (mathematical analysis) , geometry , fracture mechanics , structural engineering , materials science , engineering , algorithm , composite material

This paper deals with a nearly circular crack, Ω in the plane elasticity. Theproblem of finding the resulting shear stress can be formulated as a hypersingularintegral equation over a considered domain, Ω and it is then transformed into asimilar equation over a circular region, , using conformal mapping. Appropriatecollocation points are chosen on the region to reduce the hypersingular integralequation into a system of linear equations with (2+1)(+1) unknown coefficients,which will later be used in the determination of energy release rate. Numericalresults for energy release rate are compared with the existing asymptotic solutionand are displayed graphically

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