An Efficient Calculation Method for Numerical Solutions of Elastoplastic Finite Element Analysis : A Triple-Tandem-Type Substructuring Method Using Both Copy Process and Parallel Calculation

This paper describes an efficient calculation method for elastoplastic analysis of three-dimensional large structures on a personal computer aided finite element method (FEM). The composition of stiffness matrix requires a long execution time on the FEM. Thus the following three methods are presented to decrease the execution time: (1) the copy process of the stiffness submatrices of congruent or similar figure element and/or block, (2) a triple-tandem-type substructuring method and (3) an improved method of (2) using both (1) and a parallel calculation process. (1) is effective for reducing the time required for elastic analysis. (2) effectively decreases the time for elastoplastic analysis. The parallel calculation process is carried out on several microcomputers, so-called transputers in order to decrease the time required for both elastic analysis and elastoplastic one. (1) and (2) are applicable to parallel calculation. (3) is the most effective method for decreasing the time for both elastic analysis and elastoplastic one. To verify the validity of (3), the FEM using (3) is applied to the elastoplastic analysis of a three-dimensional elastic structure under tension.