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| Extended finite element method for heat transfer problems in heterogeneous material |
| Received:April 27, 2010 Revised:July 12, 2010 |
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| DOI：10.7511/jslx20116012 |
| KeyWord:heat transfer heterogeneous material extended finite element method |
| Author | Institution |
| 余天堂 |
河海大学 工程力学系, 南京 |
| 万林林 |
河海大学 工程力学系, 南京 |
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| Abstract: |
| The extended finite element method (XFEM) for heat transfer of heterogeneous materials is proposed. In the method, the heat conductivity is adopted as the basic parameter for calculation. Mesh can be generated without taking account of the existence of the material interfaces, so the mesh generation can be considerably simplified and the high-quality meshes are obtained correspondingly. When one element contains no material interface, the temperature function will be degenerated into that of the conventional finite element. For the element containing material interfaces, the standard temperature based approximation is enriched by incorporating level-set-based enrichment functions which model the interfaces. Results of numerical examples demonstrate the validity and the advantages of the proposed method. |