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| A transformation algorithm applied to boundary layer effect in BEM for elastic plane problems |
| Received:February 21, 2009 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20105006 |
| KeyWord:elastic problems BEM boundary layer effect nearly singular integrals transformation |
| Author | Institution |
| 张耀明 |
山东理工大学 理学院应用数学所,淄博 |
| 刘召颜 |
山东理工大学 理学院应用数学所,淄博 |
| 谷岩 |
山东理工大学 理学院应用数学所,淄博 |
| 李功胜 |
山东理工大学 理学院应用数学所,淄博 |
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| Abstract: |
| To begin with, a regularized boundary integral equation with indirect formulation is adopted to deal with the singular integrals and the boundary unknown quantities can be calculated accurately. When it comes to the physical quantities at the interior points, an efficient non-linear transformation is utilized to evaluate the nearly singular integrals occurring in two-dimensional (2D) elastic problems. The proposed transformation can remove or damp out the near singularity efficiently and can improve the accuracy of numerical results of nearly singular integrals greatly without increasing other computational efforts. Moreover, an exact geometrical representation, named "arc element", was introduced to remove the errors caused by representing arc geometries using polynomial shape functions, and therefore the computational accuracy can be improved efficiently. Numerical examples show the high efficiency and stability of the present approach, and the "boundary layer effect" can be avoided efficiently even when the internal point is very close to the boundary, i.e., when the distance of the computed point to the boundary as small as 10－9. |
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