TY - JOUR
JF - IJCE
JO - IJCE
VL - 12
IS - 2
PY - 2014
Y1 - 2014/6/01
TI - Efficient finite element analysis using graph-theoretical force method tetrahedron elements
TT -
N2 - Formation of a suitable null basis is the main problem of finite elements analysis via force method. For an optimal analysis, the selected null basis matrices should be sparse and banded corresponding to sparse, banded and well-conditioned flexibility matrices. In this paper, an efficient method is developed for the formation of the null bases of finite element models (FEMs) consisting of tetrahedron elements, corresponding to highly sparse and banded flexibility matrices. This is achieved by associating special graphs with the FEM and selecting appropriate subgraphs and forming the self-equilibrating systems (SESs) on these subgraphs. Two examples are presented to illustrate the simplicity and effectiveness of the presented graph-algebraic method.
SP - 249
EP - 269
AU - Kaveh, A.
AU - Massoudi, M.S.
AD - Iran University of Science and Technology
KW - hree dimensional elements
KW - Tetrahedron elements
KW - Higher order elements
KW - Finite element method
KW - Force method
KW - Null basis matrix
KW - Flexibility matrix
KW - Graph Theory.
UR - http://ijce.iust.ac.ir/article-1-1123-en.html
ER -