| A 3D pyramid spline element | |
| 其他题名 | A 3D pyramid spline element |
| Chen Juan1; Li ChongJun2; Chen WanJi2 | |
| 2011 | |
| 发表期刊 | ACTA MECHANICA SINICA
 |
| ISSN | 0567-7718 |
| 卷号 | 27期号:6页码:986-993 |
| 摘要 | 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. |
| 其他摘要 | 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. |
| 关键词 | Spline finite element Pyramid element The second order completeness B-net method |
| 收录类别 | CSCD |
| 语种 | 英语 |
| 资助项目 | [National Natural Science Foundation of China] ; [Fundamental Research Funds for the Central Universities of China] |
| CSCD记录号 | CSCD:4376579 |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.imr.ac.cn/handle/321006/144138 |
| 专题 | 中国科学院金属研究所 |
| 作者单位 | 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 |
| 推荐引用方式 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. |
| 条目包含的文件 | 条目无相关文件。 | |||||
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