Numerical analysis for three-dimensional bulk metal forming processes with arbitrarily shaped dies using the rigid/visco-plastic element free Galerkin method

摘要

The rigid/visco-plastic element free Galerkin method is applied to analyze three-dimensional bulk metal forming processes with arbitrarily shaped dies. Mesh approximation method is used to describe the mould cavity and an interface program for reading STL data in ASCII format is developed. Positions of contact nodes are modified in terms of shortest distance principle from contact nodes to triangle patches, the problem of “normal vector blind area” caused by drawing vertical line to triangle patches to search perpendicular point is solved. A meshless method numerical analysis procedure is developed, and simulation analysis steps and program flow are presented. The meshless analysis of the three-dimensional non-steady metal deformation processes with arbitrarily shaped dies is realized. The “cross-shaped” extrusion process is simulated by the procedure and the corresponding experiment is carried out. The effectiveness and validity of the proposed methods and numerical simulation program are evaluated by comparing numerical analysis results with the experimental results.