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Construction of n-sided polygonal spline element using area coordinates and B-net method
Alternative TitleConstruction of n-sided polygonal spline element using area coordinates and B-net method
Chen Juan1; Li ChongJun1; Chen WanJi1
2010
Source PublicationACTA MECHANICA SINICA
ISSN0567-7718
Volume26Issue:5Pages:685-693
AbstractIn 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 AbstractIn 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
KeywordFINITE-ELEMENT SOLID MECHANICS Finite element method n-sided polygonal element Bivariate spline interpolation The second order completeness
Indexed ByCSCD
Language英语
Funding Project[National Natural Science Foundation of China] ; [Science Foundation of Dalian University of Technology]
CSCD IDCSCD:4034201
Citation statistics
Document Type期刊论文
Identifierhttp://ir.imr.ac.cn/handle/321006/149643
Collection中国科学院金属研究所
Affiliation1.大连大学
2.中国科学院金属研究所
Recommended Citation
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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