| Title | Stable algorithm for the stress field around a multiply branched crack |
| Authors | Jonas Englund |
| Alternative Location | http://dx.doi.org/10.1002/n..., Restricted Access |
| Publication | International Journal for Numerical Methods in Engineering |
| Year | 2005 |
| Volume | 63 |
| Issue | 6 |
| Pages | 926 - 946 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Wiley |
| Abstract English | We present an algorithm for the computation of the stress field around a branched crack. The algorithm is based on an integral equation with good numerical properties. Our equation is obtained through a left regularization of an integral equation of Fredholm's first kind. Complex valued functions involving repeated products of square roots appear in the regularization. A new and effective scheme for correct evaluation of these functions is described. For validation, mode I and II stress intensity factors are computed for simple branched geometries. The relative errors in the stress intensity factors are typically as low as 10(-12). A large scale example is also presented, where a crack with 176 branching points is studied. |
| Keywords | fast multipole method, stress intensity factor, integral equation, branched crack, |
| ISBN/ISSN/Other | ISSN: 0029-5981 |
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