Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 926-946 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 63 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 2005 |
Bibliographical 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)
Subject classification (UKÄ)
- Mathematical Sciences
Free keywords
- fast multipole method
- stress intensity factor
- integral equation
- branched crack