Title of article :
A FOUR-NODE QUADRILATERAL ELEMENT FOR FINITEELEMENT ANALYSIS VIA AN EFFICIENT FORCE METHOD
Author/Authors :
Kaveh, A. iran university of science and technology - Centre of Excellence for Fundamental Studies in Structural Engineering, تهران, ايران , Naseri Nasab, 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 finiteelement models comprised of four-node quadrilateral plane stress and plane strain elementscorresponding to highly sparse and banded flexibility matrices. This is achieved byassociating special graphs to the finite element models and using an element with newequilibrium tractions and stress field for the formation of localized self-equilibrating stresssystems. The efficiency of the present method is illustrated through some examples.
Keywords :
finite element , graph theory , self , equilibrating stress systems (SESs) , null basis , sparse , flexibility matrix , force method
Journal title :
Asian Journal of Civil Engineering (Building and Housing)
Journal title :
Asian Journal of Civil Engineering (Building and Housing)
