Efficient algorithm for edge cracked geometries

Research output: Contribution to journalArticle


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.


  • Jonas Englund
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Mathematics


  • stress intensity factor, integral equation, edge crack, fast multipole, method, T-stress
Original languageEnglish
Pages (from-to)1791-1816
JournalInternational Journal for Numerical Methods in Engineering
Issue number11
Publication statusPublished - 2006
Publication categoryResearch

Bibliographic note

The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Numerical Analysis (011015004)