Theory and examples of partial approximation in the finite element method
作者:
Fumio Kikuchi,
期刊:
International Journal for Numerical Methods in Engineering
(WILEY Available online 1976)
卷期:
Volume 10,
issue 1
页码: 115-122
ISSN:0029-5981
年代: 1976
DOI:10.1002/nme.1620100109
出版商: John Wiley&Sons, Ltd
数据来源: WILEY
摘要:
AbstractThis paper presents theory and examples of partial approximation as a modification of the displacement method in the finite element analysis. This method requires different shape functions for different terms in the potential energy expression to curtail the processes in the standard displacement method. Explanation of the theory is given by use of a simple example for Poisson's equation. It can also be effectively utilized to give mathematical foundation to some finite element models based on physical reasonings, such as Melosh's rectangular element for plate bending and beam element approximation of circular arches.
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