Title of article
GRAPH-THEORETICAL FORCE METHOD OF FINITE ELEMENT MODELS WITH TRIANGULAR AND RECTANGULAR ELEMENTS
Author/Authors
Kaveh, A. iran university of science and technology - Centre of Excellence for Fundamental Studies in Structural Engineering, تهران, ايران , Ebrahimi, E. iran university of science and technology - Centre of Excellence for Fundamental Studies in Structural Engineering, تهران, ايران
From page
597
To page
616
Abstract
In this paper an efficient method is developed for the formation of null bases of finite element models (FEMs) composed of rectangular and triangular plane stress and plane strain elements, 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.
Keywords
Finite elements , graph theory , null basis , flexibility matrix , sparsity , ordering , stiffness matrix
Journal title
Asian Journal of Civil Engineering (Building and Housing)
Journal title
Asian Journal of Civil Engineering (Building and Housing)
Record number
2546937
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