A 3D hexahedral spline element

Authors:
Chong-Jun Li;Juan Chen;Wan-Ji Chen
Affiliations:
School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China;School of Mathematics and Quantitative Economics, Dongbei University of Finance and Economics, Dalian 116025, China;State Key Laboratory for Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116024, China and Institute for Structural Analysis of Aerocraft, Shenyang Institute o ...
Venue:
Computers and Structures
Year:
2011

Citing 3
Cited 0

Triangular Berstein-Be´zier patches

Computer Aided Geometric Design
A new 8-node quadrilateral spline finite element

Journal of Computational and Applied Mathematics - Special issue: The international symposium on computing and information (ISCI2004)
A family of spline finite elements

Computers and Structures

Quantified Score

Hi-index	0.01

Visualization

Abstract

Based on the tetrahedral volume coordinates and the B-net method, a 3D hexahedral spline element with 21 nodes is proposed, which includes an internal node and achieves the second order completeness in the Cartesian coordinates. Some numerical examples are employed to evaluate the performance of the proposed element. The numerical results show that the 21-node element has much better performance than that of the isoparametric 20-node Serendipity element especially for the distorted meshes, and it is comparable to the 27-node Lagrange element. It has also been demonstrated that the spline finite element method is an efficient tool for developing high accuracy elements.