改进的无网格伽辽金方法及其在三维金属体积成形中的应用研究  

Study on the improved element free Galerkin method and its application in the three dimensional bulk metal forming processes simulation

作　　者：路平[1] 赵国群[1] 管延锦[1] 吴欣[2] 

机构地区：[1]山东大学材料液态结构及其遗传性教育部重点实验室,济南250061 [2]杭州电子科技大学机械工程学院,杭州310018

出　　处：《塑性工程学报》2008年第5期22-27,共6页Journal of Plasticity Engineering

基　　金：国家杰出青年科学基金资助项目(50425517);国家自然科学基金资助项目(50575125)

摘　　要：针对传统无网格伽辽金方法(EFGM)在构造形函数时,矩阵A容易出现不可逆的弊端,采用带权正交基函数构造形函数,在积分方案上采用单位分解积分方法,从而实现了真正的"无网格"。将改进的EFGM与刚(粘)塑性流动理论相结合,建立了改进的刚(粘)塑性无网格伽辽金方法,自主开发了金属体积成形过程无网格伽辽金方法分析程序。通过对三维金属体积成形工艺算例的数值模拟分析,及与有限元软件分析结果的比较,验证了所建立方法的正确性。In order to solve the problem that matrix A often occurs irreversible when shape function is calculated by using traditional element free Galerkin method （EFGM）, the orthngonal function with the weight function is utilized in the paper. And partition of unity quadrature technique is employed and so a truly “meshless” method is realized. An improved rigid/visco-plastic element free Galerkin method is established combined the flow formulation for rigid/visco-plastic materials with the improved element free Galerkin method. An EFGM numerical analysis procedure for simulating the bulk metal forming processes is developed. Numerical examples of three dimensional bulk metal forming process are analyzed, and the correctness of the presented method is demonstrated by comparing of simulation results with those obtained using finite element method software.

关 键 词：无网格伽辽金方法 正交基函数 单位分解积分 数值分析 

分 类 号：TG316[金属学及工艺—金属压力加工]