Efficient finite element analysis by graph-theoretical force method

Authors:
A. Kaveh;K. Koohestani;N. Taghizadieh
Affiliations:
Centre of Excellence for Fundamental Studies in Structural Engineering, Department of Civil Engineering, Iran University of Science and Technology, Narmak, Tehran-16, Iran;Department of Civil Engineering, University of Tabriz, Tabriz, Iran;Department of Civil Engineering, University of Tabriz, Tabriz, Iran
Venue:
Finite Elements in Analysis and Design
Year:
2007

Citing 5
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Abstract

In this paper an efficient method is developed for the formation of null bases of triangular plane stress and plane strain finite element models, corresponding to highly sparse and banded flexibility matrices. This is achieved by associating special graphs to the finite element models and selecting appropriate subgraphs for the formation of localized self-stress systems. The efficiency of the present method is illustrated through some examples.