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Construction of n-sided polygonal spline element using area coordinates and B-net method
其他题名Construction of n-sided polygonal spline element using area coordinates and B-net method
Chen Juan1; Li ChongJun1; Chen WanJi1
2010
发表期刊ACTA MECHANICA SINICA
ISSN0567-7718
卷号26期号:5页码:685-693
摘要In general, triangular and quadrilateral elements are commonly applied in two-dimensional finite element methods. If they are used to compute polycrystalline materials, the cost of computation can be quite significant. Polygonal elements can do well in simulation of the materials behavior and provide greater flexibility for the meshing of complex geometries. Hence, the study on the polygonal element is a very useful and necessary part in the finite element method. In this paper, an n-sided polygonal element based on quadratic spline interpolant, denoted by PS2 element, is presented using the triangular area coordinates and the B-net method. The PS2 element is conforming and can exactly model the quadratic field. It is valid for both convex and non-convex polygonal element, and insensitive to mesh distortions. In addition, no mapping or coordinate transformation is required and thus no Jacobian matrix and its inverse are evaluated. Some appropriate examples are employed to evaluate the performance of the proposed element.
其他摘要In general, triangular and quadrilateral elements are commonly applied in two-dimensional finite element methods. If they are used to compute polycrystalline materials, the cost of computation can be quite significant. Polygonal elements can do well in simulation of the materials behavior and provide greater flexibility for the meshing of complex geometries. Hence, the study on the polygonal element is a very useful and necessary part in the finite element method. In this paper, an n-sided polygonal element based on quadratic spline interpolant, denoted by PS2 element, is presented using the triangular area coordinates and the B-net method. The PS2 element is conforming and can exactly model the quadratic field. It is valid for both convex and non-convex polygonal element, and insensitive to mesh distortions. In addition, no mapping or coordinate transformation is required and thus no Jacobian matrix and its inverse are evaluated. Some appropriate examples are employed to evaluate the performance of the proposed element
关键词FINITE-ELEMENT SOLID MECHANICS Finite element method n-sided polygonal element Bivariate spline interpolation The second order completeness
收录类别CSCD
语种英语
资助项目[National Natural Science Foundation of China] ; [Science Foundation of Dalian University of Technology]
CSCD记录号CSCD:4034201
引用统计
被引频次:4[CSCD]   [CSCD记录]
文献类型期刊论文
条目标识符http://ir.imr.ac.cn/handle/321006/149643
专题中国科学院金属研究所
作者单位1.大连大学
2.中国科学院金属研究所
推荐引用方式
GB/T 7714
Chen Juan,Li ChongJun,Chen WanJi. Construction of n-sided polygonal spline element using area coordinates and B-net method[J]. ACTA MECHANICA SINICA,2010,26(5):685-693.
APA Chen Juan,Li ChongJun,&Chen WanJi.(2010).Construction of n-sided polygonal spline element using area coordinates and B-net method.ACTA MECHANICA SINICA,26(5),685-693.
MLA Chen Juan,et al."Construction of n-sided polygonal spline element using area coordinates and B-net method".ACTA MECHANICA SINICA 26.5(2010):685-693.
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