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A 3D pyramid spline element
Alternative TitleA 3D pyramid spline element
Chen Juan1; Li ChongJun2; Chen WanJi2
2011
Source PublicationACTA MECHANICA SINICA
ISSN0567-7718
Volume27Issue:6Pages:986-993
AbstractIn 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 AbstractIn 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.
KeywordSpline finite element Pyramid element The second order completeness B-net method
Indexed ByCSCD
Language英语
Funding Project[National Natural Science Foundation of China] ; [Fundamental Research Funds for the Central Universities of China]
CSCD IDCSCD:4376579
Citation statistics
Cited Times:3[CSCD]   [CSCD Record]
Document Type期刊论文
Identifierhttp://ir.imr.ac.cn/handle/321006/144135
Collection中国科学院金属研究所
Affiliation1.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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