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 Construction of n-sided polygonal spline element using area coordinates and B-net method Alternative Title Construction of n-sided polygonal spline element using area coordinates and B-net method Chen Juan1; Li ChongJun1; Chen WanJi1 2010 Source Publication ACTA MECHANICA SINICA ISSN 0567-7718 Volume 26Issue:5Pages:685-693 Abstract 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. Other Abstract 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 Keyword FINITE-ELEMENT SOLID MECHANICS Finite element method n-sided polygonal element Bivariate spline interpolation The second order completeness Indexed By CSCD Language 英语 Funding Project [National Natural Science Foundation of China] ; [Science Foundation of Dalian University of Technology] CSCD ID CSCD:4034201 Citation statistics Cited Times:4[CSCD]   [CSCD Record] Document Type 期刊论文 Identifier http://ir.imr.ac.cn/handle/321006/149643 Collection 中国科学院金属研究所 Affiliation 1.大连大学2.中国科学院金属研究所 Recommended CitationGB/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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