A 3D pyramid spline element
查看参考文献18篇
|
文摘
|
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. |
|
来源
|
Acta Mechanica Sinica
,2011,27(6):986-993 【核心库】
|
|
DOI
|
10.1007/s10409-011-0513-1
|
|
关键词
|
Spline finite element
;
Pyramid element
;
The second order completeness
;
B-net method
|
|
地址
|
1.
School of Mathematics and Quantitative Economics, Dongbei University of Finance and Economics, Dalian, 116025
2.
School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024
3.
Shenyang Aerospace University, Key Laboratory of Liaoning Province for Composite Structural Analysis of Aerocraft and Simulation;;State Key Laboratory for Structural Analysis of Industrial Equipment, Shenyang, 110136
|
|
语种
|
英文 |
|
ISSN
|
0567-7718 |
|
学科
|
数学;自动化技术、计算机技术 |
|
基金
|
The Fun-damental Research Funds for the Central Universities of China
;
国家自然科学基金
|
|
文献收藏号
|
CSCD:4376579
|
参考文献 共
18
共1页
|
|
1.
Zienkiewicz O C.
The Finite Element Method. (5th edn.),2005
|
被引
1
次
|
|
|
|
|
2.
Nigam N.
Higher-order finite elements on pyramids
|
被引
1
次
|
|
|
|
|
3.
Owen S J. Formation of pyramid elements for hexahedra to tetrahedral transitions.
Comput. Methods Appl. Mech. Engrg,2001,190:4505-4518
|
被引
3
次
|
|
|
|
|
4.
Kallinderis Y. A dynamic adaptation scheme for general 3-D hybrid meshes.
Comput. Methods Appl. Mech. Engrg,2005,194:5019-5050
|
被引
2
次
|
|
|
|
|
5.
Lo S H. Improvement on the 10-node tetrahedral element for three-dimensional problems.
Comput. Methods Appl. Mech. Engrg,2000,189:961-974
|
被引
3
次
|
|
|
|
|
6.
Li H G. Hexahedral volume coordinate method (HVCM) and improvements on 3D Wilson hexahedral element.
Comput. Mehods Appl. Mech. Engrg,2008,197:4531-4548
|
被引
2
次
|
|
|
|
|
7.
Irons B M. A technique for degenerating brick-type isoparametric elements using hierachical milsid nodes.
Int. J. Numer. Methods Eng,1974,8:203-209
|
被引
1
次
|
|
|
|
|
8.
Newton R E. Degeneration of brick-type isoparametric elements.
Int. J. Numer. Methods Eng,1973,7:579-581
|
被引
1
次
|
|
|
|
|
9.
Lee N S. Effects of element distortion on the performance of isoparametric elements.
Int. J. Numer. Methods. Eng,1993,36:3553-3576
|
被引
23
次
|
|
|
|
|
10.
Wang R H. The structural characterization and interpolation for multivariate splines.
Acta Math. Sinica(in Chinese),1975,18(2):91-106
|
被引
15
次
|
|
|
|
|
11.
Wang R H.
Multivariate Spline Functions and Their Applications,2001
|
被引
32
次
|
|
|
|
|
12.
Li C J. A new 8-node quadrilateral spline finite element.
J. Comput. Appl. Math,2006,195(1/2):54-65
|
被引
11
次
|
|
|
|
|
13.
Chen J. Area coordinates and B-net method for quadrilateral spline elements.
Chinese J. Theor. Appl. Mech,2010,42(1):83-92
|
被引
2
次
|
|
|
|
|
14.
Chen J. A family of spline finite elements.
Computers and Structures,2010,88:718-727
|
被引
8
次
|
|
|
|
|
15.
Chen J. Construction of n-sided polygonal spline element using area coordinates and B-net method.
Acta Mech. Sinica,2010,26:685-693
|
被引
4
次
|
|
|
|
|
16.
Farin G. Triangular Bernstein-Bézier patches.
Computer Aided Geometric Design,1986,3(2):83-127
|
被引
28
次
|
|
|
|
|
17.
Li C J.
Multivariate splines on special triangulations and their applications. [Ph.D. Thesis](in Chinese),2004
|
被引
1
次
|
|
|
|
|
18.
César De Sá J M A. New enhanced strain elements for incompressible problems.
Int. J. Numer. Methods Eng,1999,44:229-248
|
被引
1
次
|
|
|
|
|
了解气象卫星更多信息，请访问