An efficient graph-theoretical force method for three-dimensional finite element analysis

作者：Kaveh A^*; Koohestani K

来源：Communications in Numerical Methods in Engineering, 2008, 24(11): 1533-1551.

DOI：10.1002/cnm.1051

• finite elements
• graph theory
• null basis
• flexibility matrix
• sparsity
• tetrahedron element

In this paper an efficient method is developed for the formation of null bases of finite element models (FEMs) composed 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-stress systems on these subgraphs. The efficiency of the present method is illustrated through two examples.

• 出版日期2008-11