Abstract
We present algorithms for crack and inclusion problems in planar linear elastostatics. The algorithms are based on new integral equations. For the pure crack problem the integral equations are of Fredholm's second kind. Our algorithms show great stability and allow for solutions to problems more complex than have previously been possible. Our results are orders of magnitudes more accurate than those of previous investigators, which rely on integral equations of Fredholm's first kind.
| Original language | English |
|---|---|
| Pages (from-to) | 965-982 |
| Journal | SIAM Journal on Applied Mathematics |
| Volume | 59 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1999 |
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)
- Mathematics
Free keywords
- effective elastic properties
- integral equation of Fredholm type
- linear elasticity
- cracks
- composite material
- stress intensity factors
- numerical methods