| A 17-node quadrilateral spline finite element using the triangular area coordinates | |
| Alternative Title | A 17-node quadrilateral spline finite element using the triangular area coordinates |
| Chen Juan1; Li Chongjun1; Chen Wanji1 | |
| 2010 | |
| Source Publication | APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
 |
| ISSN | 0253-4827 |
| Volume | 31Issue:1Pages:125-134 |
| Abstract | Isoparametric quadrilateral elements are widely used in the finite element method. However, they have a disadvantage of accuracy loss when elements are distorted. Spline functions have properties of simpleness and conformality. A 17-node quadrilateral element has been developed using the bivariate quartic spline interpolation basis and the triangular area coordinates, which can exactly model the quartic displacement fields. Some appropriate examples are employed to illustrate that the element possesses high precision and is insensitive to mesh distortions. |
| Other Abstract | Isoparametric quadrilateral elements are widely used in the finite element method. However, they have a disadvantage of accuracy loss when elements are distorted. Spline functions have properties of simpleness and conformality. A 17-node quadrilateral element has been developed using the bivariate quartic spline interpolation basis and the triangular area coordinates, which can exactly model the quartic displacement fields. Some appropriate examples are employed to illustrate that the element possesses high precision and is insensitive to mesh distortions. |
| Keyword | FAMILY 17-node quadrilateral element bivariate spline interpolation basis triangular area coordinates B-net method fourth-order completeness |
| Indexed By | CSCD |
| Language | 英语 |
| Funding Project | [Natural Science Foundation of China China] ; [Science Foundation of Dalian University of Technology] |
| CSCD ID | CSCD:3813404 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.imr.ac.cn/handle/321006/151035 |
| Collection | 中国科学院金属研究所 |
| Affiliation | 1.大连大学 2.中国科学院金属研究所 |
| Recommended Citation GB/T 7714 | Chen Juan,Li Chongjun,Chen Wanji. A 17-node quadrilateral spline finite element using the triangular area coordinates[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,2010,31(1):125-134. |
| APA | Chen Juan,Li Chongjun,&Chen Wanji.(2010).A 17-node quadrilateral spline finite element using the triangular area coordinates.APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,31(1),125-134. |
| MLA | Chen Juan,et al."A 17-node quadrilateral spline finite element using the triangular area coordinates".APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION 31.1(2010):125-134. |
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