An improved finite element method for cracks with multiple branches
The conventional finite element method is improved to tackle complex cracks with multiple branches. The parasitic nodes are introduced to the nodes whose nodal support is completely cut by the crack surfaces, while the nodes whose supports contain crack tips inside are accordingly enriched by the cr...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2013
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| Online Access: | https://hdl.handle.net/10356/103136 http://hdl.handle.net/10220/16946 |
| _version_ | 1826111647427592192 |
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| author | Zhang, H. H. Li, L. X. An, Xinmei Ma, Guowei |
| author2 | School of Civil and Environmental Engineering |
| author_facet | School of Civil and Environmental Engineering Zhang, H. H. Li, L. X. An, Xinmei Ma, Guowei |
| author_sort | Zhang, H. H. |
| collection | NTU |
| description | The conventional finite element method is improved to tackle complex cracks with multiple branches. The parasitic nodes are introduced to the nodes whose nodal support is completely cut by the crack surfaces, while the nodes whose supports contain crack tips inside are accordingly enriched by the crack tip functions. The principle to set parasitic nodes is regulated, and the relation to the previous methods is dissected. The formulation of the present method is derived, and numerical experiments are conducted. The results show that the present method can treat complex cracks conveniently and efficiently, and the unknowns have a clear physical interpretation. |
| first_indexed | 2024-10-01T02:54:13Z |
| format | Journal Article |
| id | ntu-10356/103136 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T02:54:13Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-10356/1031362020-03-07T11:45:53Z An improved finite element method for cracks with multiple branches Zhang, H. H. Li, L. X. An, Xinmei Ma, Guowei School of Civil and Environmental Engineering The conventional finite element method is improved to tackle complex cracks with multiple branches. The parasitic nodes are introduced to the nodes whose nodal support is completely cut by the crack surfaces, while the nodes whose supports contain crack tips inside are accordingly enriched by the crack tip functions. The principle to set parasitic nodes is regulated, and the relation to the previous methods is dissected. The formulation of the present method is derived, and numerical experiments are conducted. The results show that the present method can treat complex cracks conveniently and efficiently, and the unknowns have a clear physical interpretation. 2013-10-28T02:48:44Z 2019-12-06T21:06:21Z 2013-10-28T02:48:44Z 2019-12-06T21:06:21Z 2012 2012 Journal Article An, X., Ma, G., Zhang, H. H., & Li, L. X. (2012). An improved finite element method for cracks with multiple branches. International journal of computational methods, 9(3), 1250043. https://hdl.handle.net/10356/103136 http://hdl.handle.net/10220/16946 10.1142/S0219876212500430 en International journal of computational methods |
| spellingShingle | Zhang, H. H. Li, L. X. An, Xinmei Ma, Guowei An improved finite element method for cracks with multiple branches |
| title | An improved finite element method for cracks with multiple branches |
| title_full | An improved finite element method for cracks with multiple branches |
| title_fullStr | An improved finite element method for cracks with multiple branches |
| title_full_unstemmed | An improved finite element method for cracks with multiple branches |
| title_short | An improved finite element method for cracks with multiple branches |
| title_sort | improved finite element method for cracks with multiple branches |
| url | https://hdl.handle.net/10356/103136 http://hdl.handle.net/10220/16946 |
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