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| Geometrical relation between circular inclusion and quadrangular element for solving multi-inclusions problem by XFEM |
| Received:January 18, 2007 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20092006 |
| KeyWord:XFEM(Extended Finite Element Method) inclusion remained region quadrangular element |
| Author | Institution |
| 姚再兴 |
中国科学院 力学研究所,北京 ;辽宁工程技术大学力学与工程学院,阜新 |
| 李世海 |
中国科学院 力学研究所,北京 |
| 刘晓宇 |
中国科学院 力学研究所,北京 |
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| Abstract: |
| When solving inclusion problem by the Extended Finite Element Method (XFEM), an element is split into many regions by the interface between inclusions and matrix. In order to calculate element stiffness matrix, integral in these regions is necessary. The urgent problem to be solved is to find a convenient method to describe integral regions for programming. The process of forming integral regions is taken as circles repeatedly splitting a quadrangle. Geometrical relation between remained region and circles is analyzed. In the process, broken sides are substituted by original sides, and remained region is substituted by quadrangle that discards no or some sides. All possible geometrical relations between circle and remained regions are listed through permutation and combination. |
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