金属塑性成形过程无网格伽辽金法数值模拟技术研究  

STUDY ON NUMERICAL SIMULATION OF METAL FORMING PROCESS USING ELEMENT FREE GALERKIN METHOD

作　　者：赵国群[1] 王卫东[1] 栾贻国[1] 

机构地区：[1]山东大学模具工程技术研究中心,济南250061

出　　处：《机械工程学报》2004年第11期13-16,共4页Journal of Mechanical Engineering

基　　金：教育部跨世纪人才计划资助项目

摘　　要：将无网格伽辽金法与刚(粘)塑性流动理论相结合,对无网格伽辽金法在金属塑性成形过程数值模拟中的应用技术进行了研究,分别采用混合变换法和罚函数法实现速度边界条件和体积不变条件,提出了基于刚(粘)塑性力学流动理论的无网格伽辽金法,给出了金属塑性成形无网格伽辽金法数值模拟的关键算法,拓展了无网格方法在金属成形领域的应用范围。典型算例的数值计算结果表明了方法的可行性。A new method for simulating the metal forming process is given by combining the element free Galerkin method with the flow theory of rigid plastic/viscoplastic mechanics. The mixed transformation method and penalty method are utilized to implement the velocity boundary conditions and incom-pressibility constraint respectively. The element free Galerkin method and its key algorithm are given based on the flow formulation for rigid plastic/viscoplastic materials. The numerical simulation of an axisymmetric upset forging reveals the effectiveness and feasibility of the present method.

关 键 词：无网格伽辽金法 移动最小二乘近似 混合变换法 金属塑性成形 罚函数法 

分 类 号：TB24[一般工业技术—工程设计测绘] TG302[金属学及工艺—金属压力加工]