Abstract
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).
| Original language | English |
|---|---|
| Pages (from-to) | 456-482 |
| Journal | Journal of Computational Physics |
| Volume | 176 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2002 |
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
- method
- Fredholm integral equation
- fast multipole
- cracks
- multiply connected domains
- holes
- stress concentration factor
- stress intensity factor