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
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)
