An efficient method for numerical solutions of microcomputer-aided finite element analysis. (9th Report. A combination of a tandem-type substructuring method and a penalty function method and its application to an analysis of the stress intensity factor in a two-dimensional cracked structure).

Abstract

This paper presents an efficient calculation method comprising the following two methods: (1) the method using LDU decomposition process of the stiffness matrix of a tandem-type substructure composed of various substructures and (2) the penalty function method available in the open / closed behavior of crack propagation, in numerical solutions of the finite element method (FEM). This method is applicable to an analysis of the stress intensity factor based on energy release rate theory in a two-dimensional cracked structure. The FEM using this method contributes to the decrease of both CPU time and memory capacity in comparison with the conventional FEM applied to the whole cracked structure. The use of the method also gives good accurate results. Therefore, this method is effective for microcomputer-aided FEM.