EXPLICIT EXPRESSIONS OF SHAPE FUNCTIONS FOR THE MODIFIED 8-NODE SERENDIPITY ELEMENT

被引：13

作者：

KIKUCHI, F

机构：

[1] Department of Mathematical Sciences, University of Tokyo, Tokyo, 153, 3‐8‐1 Komaba, Meguro

来源：

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING | 1994年 / 10卷 / 09期

关键词：

Cartesian coordinates - Eight node serendipity element - Node degeneration technique - Quadratic fields - Shape functions;

D O I：

10.1002/cnm.1640100905

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We derive explicit expressions of shape functions for the 8-node serendipity element with bilinear element geometry, which is modified so that it can represent any quadratic fields in Cartesian co-ordinates. The modification is similar to the one by MacNeal and Harder, but is slightly different and based on our own idea. We also show that the usual 6-node triangular element can be obtained by applying the node degeneration technique to this modified element.

引用

页码：711 / 716

页数：6

共 8 条

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[3]

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[8]

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