| Title | Stress calculations on multiply connected domains |
| Authors | Johan Helsing, A Jonsson |
| Alternative Location | http://dx.doi.org/10.1006/j..., Restricted Access |
| Publication | JOURNAL OF COMPUTATIONAL PHYSICS |
| Year | 2002 |
| Volume | 176 |
| Issue | 2 |
| Pages | 456 - 482 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Abstract English | The outstanding problem of finding a simple Muskhelishvili-type integral equation for stress problems on multiply connected domains is solved. Complex potentials are represented in a way which allows, for the incorporation of cracks and inclusions. Several numerical examples demonstrate the generality and extreme stablity of the approach. The stress field is resolved with a relative error of less than 10(-10) on a large, yet simple reproducible, setup with a loaded square plate containing 4090 holes and cracks, Comparison with previous results in the literature indicates that general-purpose finite-element software may perform better than many special-purpose codes. (C) 2002 Elsevier Science (USA). |
| Keywords | method, Fredholm integral equation, fast multipole, cracks, multiply connected domains, holes, stress concentration factor, stress intensity factor, |
| ISBN/ISSN/Other | ISSN: 0021-9991 |
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