Title Efficient algorithm for edge cracked geometries
Authors Jonas Englund
Alternative Location http://dx.doi.org/10.1002/n..., Restricted Access
Publication International Journal for Numerical Methods in Engineering
Year 2006
Volume 66
Issue 11
Pages 1791 - 1816
Document type Article
Status Published
Quality controlled Yes
Language eng
Publisher John Wiley & Sons, Ltd.
Abstract English The stress field in a finite, edge cracked specimen under load is computed using algorithms based on two slightly different integral equations of the second kind. These integral equations are obtained through left regularizations of a first kind integral equation. In numerical experiments it is demonstrated that the stress field can be accurately computed. Highly accurate stress intensity factors and T-stresses are presented for several setups and extensive comparisons with results from the literature are made. For simple geometries the algorithms presented here achieve relative errors of less than 10(-10). It is also shown that the present algorithms can accurately handle both geometries with arbitrarily shaped edge cracks and geometries containing several hundred edge cracks. All computations were performed on an ordinary workstation. Copyright (c) 2005 John Wiley & Sons, Ltd.
Keywords stress intensity factor, integral equation, edge crack, fast multipole, method, T-stress,
ISBN/ISSN/Other ISSN: 0029-5981

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