Adaptive enrichment meshless simulation of bulk metal forming
Conventional finite element analysis of bulk forming processes with large deformation often breaks down due to severe mesh distortion. Recently meshless methods with nomeshes have been considerably developed for structural applications. The main characteristic of these methods is that the domain of the workpiece is discretized by a set of particles without using structured meshes. The new generation of meshless computational methods reduces time-consuming model generation and refinement effort. Due to no meshes meshless method avoids mesh distortion difficulties which may occur during the course of large plastic deformation. Besides, this approach provides a higher rate of convergence than that of the conventional finite element methods. In this paper the meshless method based on the reproducing kernel particle method (RKPM) is applied to bulk forming adaptive analysis. The displacement shape functions are developed from a reproducing kernel approximation that satisfies consistency conditions. The shape function of RKPM is decomposed into two scales, high and low. The two scale decomposition is incorporated into nonlinear elasto-plastic formulation to obtain high and low scale components of Von Mises stresses. High scale component of Von Mises stress indicates the high stress gradient regions without posterior estimation. Enrichment nodes with a proper enrichment function are inserted/deleted in those regions to obtain the optimum particle distribution and therefore improve the efficiency of meshless computation for bulk forming. Numerical results show the proposed method is effective in bulk forming analysis.
LIU Hongsheng XING Zhogwen XING Zhogwen
School of materials science and engineering, Harbin Institute of Technology, P.R.China School of Mechanical Engineering, Dongguan University of Technology, P.R.China
国际会议
桂林
英文
1-6
2010-11-16(万方平台首次上网日期,不代表论文的发表时间)