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
![]() |
ISSN | 0567-7718 |
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 | |
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. |
条目包含的文件 | 条目无相关文件。 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论