| A 3D pyramid spline element | |
| Alternative Title | A 3D pyramid spline element |
| Chen Juan1; Li ChongJun2; Chen WanJi2 | |
| 2011 | |
| Source Publication | ACTA MECHANICA SINICA
 |
| ISSN | 0567-7718 |
| Volume | 27Issue:6Pages:986-993 |
| Abstract | In this paper, a 13-node pyramid spline element is derived by using the tetrahedron volume coordinates and the B-net method, which achieves the second order completeness in Cartesian coordinates. Some appropriate examples were employed to evaluate the performance of the proposed element. The numerical results show that the spline element has much better performance compared with the isoparametric serendipity element Q20 and its degenerate pyramid element P13 especially when mesh is distorted, and it is comparable to the Lagrange element Q27. It has been demonstrated that the spline finite element method is an efficient tool for developing high accuracy elements. |
| Other Abstract | In this paper, a 13-node pyramid spline element is derived by using the tetrahedron volume coordinates and the B-net method, which achieves the second order completeness in Cartesian coordinates. Some appropriate examples were employed to evaluate the performance of the proposed element. The numerical results show that the spline element has much better performance compared with the isoparametric serendipity element Q20 and its degenerate pyramid element P13 especially when mesh is distorted, and it is comparable to the Lagrange element Q27. It has been demonstrated that the spline finite element method is an efficient tool for developing high accuracy elements. |
| Keyword | Spline finite element Pyramid element The second order completeness B-net method |
| Indexed By | CSCD |
| Language | 英语 |
| Funding Project | [National Natural Science Foundation of China] ; [Fundamental Research Funds for the Central Universities of China] |
| CSCD ID | CSCD:4376579 |
| Citation statistics |
Cited Times:3[CSCD]
[CSCD Record]
|
| Document Type | 期刊论文 |
| Identifier | http://ir.imr.ac.cn/handle/321006/144138 |
| Collection | 中国科学院金属研究所 |
| Affiliation | 1.Dongbei University Finance & Econ, Sch Math & Quantitat Econ, Dalian 116025, Peoples R China 2.大连大学 3.中国科学院金属研究所 |
| Recommended Citation GB/T 7714 | Chen Juan,Li ChongJun,Chen WanJi. A 3D pyramid spline element[J]. ACTA MECHANICA SINICA,2011,27(6):986-993. |
| APA | Chen Juan,Li ChongJun,&Chen WanJi.(2011).A 3D pyramid spline element.ACTA MECHANICA SINICA,27(6),986-993. |
| MLA | Chen Juan,et al."A 3D pyramid spline element".ACTA MECHANICA SINICA 27.6(2011):986-993. |
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