#F1 2011 version 12 crack crack
adopted the finite element analysis and modified crack closure integral technique in evaluating the strain energy release rate. Jih and Sun employed the finite element method based on crack-closure integral in calculating the strain energy release rate elastostatic and elastodynamic crack problems in finite bodies whereas Dattaguru et al. While, Gao and Rice and Gao considered a penny-shaped crack as a reference crack in solving the energy release rate for a nearly circular crack subject to normal and shear loads. Rice's work in finding the energy release rate for a plane crack with a slightly curved front subject to shear loading. Gao and Rice extendedįigure 1: Stresses acting on a circular crack. Further, a similar method to has also been adopted by Hayashi and Nemat-Nasser to obtain the energy release rate for a kinked from a straight crack under combined loading based on the maximum energy release rate criterion. Hayashi and Nemat-Nasser modelled the kink as a continuous distribution of infinitesimal edge dislocations to obtain the energy release rate at the onset of kinking of a straight crack in an infinite elastic medium subjected to a predominantly Mode I loading. Sih proposed the energy density theory as an alternative approach for fracture prediction. Williams and Isherwood proposed an approximate method in terms of a mean stress to approximate the strain-energy release rates of finite plates.
The determination of energy release rate, a measurement of energy necessary for crack initiation in fracture mechanics, has stirred a huge interest among researchers, and different approaches have been applied. Numerical results for energy release rate are compared with the existing asymptotic solution and are displayed graphically. Appropriate collocation points are chosen on the region D to reduce the hypersingular integral equation into a system of linear equations with (2N + 1)(N + 1) unknown coefficients, which will later be used in the determination of energy release rate. The problem of finding the resulting shear stress can be formulated as a hypersingular integral equation over a considered domain, Q and it is then transformed into a similar equation over a circular region, D, using conformal mapping.
This paper deals with a nearly circular crack, Q in the plane elasticity. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Eshkuvatov1,2ġĝepartment of Mathematics, Universiti Putra Malaysia, 43400 Serdang, MalaysiaĢ Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Serdang, MalaysiaĬorrespondence should be addressed to Lee Feng Koo, Received 4 August 2010 Revised 6 December 2010 Accepted 14 January 2011 Academic Editor: Jerzy WarminskiĬopyright © 2011 Nik Mohd Asri Nik Long et al. Nik Mohd Asri Nik Long,1,2 Lee Feng Koo,1 and Zainidin K.
Hindawi Publishing Corporation Mathematical Problems in Engineering Volume 2011, Article ID 741075,17 pages doi:10.1155/2011/741075Ĭomputation of Energy Release Rates for a Nearly Circular Crack
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