A 3D pyramid spline element

被引：8
|
作者：
Chen, Juan [2 ]
Li, Chong-Jun [1 ]
Chen, Wan-Ji [3 ,4 ]
机构：
[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
[2] Dongbei Univ Finance & Econ, Sch Math & Quantitat Econ, Dalian 116025, Peoples R China
[3] Dalian Univ Technol, State Key Lab Struct Anal Ind Equipment, Dalian 116024, Peoples R China
[4] Shenyang Aerosp Univ, Key Lab Liaoning Prov Composite Struct Anal Aeroc, Shenyang 110136, Peoples R China
来源：
ACTA MECHANICA SINICA | 2011年 / 27卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Spline finite element; Pyramid element; The second order completeness; B-net method;
D O I：
10.1007/s10409-011-0513-1
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
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.
引用
收藏
页码：986 / 993
页数：8
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