Title of article :
A FOUR-NODE QUADRILATERAL ELEMENT FOR FINITE ELEMENT 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 finite element models comprised of four-node quadrilateral 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 using an element with new equilibrium tractions and stress field for the formation of localized self-equilibrating stress systems. 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)
