Study on the degeneration of quadrilateral element to triangular element
- Release Time:2025-04-30
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Date:
2025-04-30Title of Paper:
Study on the degeneration of quadrilateral element to triangular elementJournal:
Communications in Numerical Methods in EngineeringSummary:
In this paper, the problems involved in the process of degeneration of quadrilateral element into triangular
element are thoroughly analysed. The contents include the formulation of the geometry mapping
induced by collapsing one side of the quadrilateral element and the construction of the shape functions.
The study focuses rst on a 4-node bilinear quadrilateral (Q4) element to 3-node constant strain triangular
(CST) element, and then on a 8-node serendipity (Q8) element to 6-node triangular element
(T6). In the analysis, the quadrilateral element and degenerate triangular element are assumed to be
enclosed by straight edges. The theoretical results show that there is another better approach to realize
the degeneration, and that even for conventional approach of degeneration we can give more reasonable
explanation to the unclear problems like the CST property in degenerate CST element and the necessity
of the additional terms in degenerate T6 element. Copyright ? 2004 John Wiley & Sons, Ltd.Co-author:
L-X LiVolume:
20(2004)Page Number:
671-679Translation or Not:
NoDate of Publication:
2004-01-01
