| 金属三维塑性成形过程无网格伽辽金法数值模拟技术 |
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| 引用本文： | 刘永辉,陈军,虞松,李从心,陈学文.金属三维塑性成形过程无网格伽辽金法数值模拟技术[J].上海交通大学学报,2006,40(10):1654-1657. |
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| 作者姓名： | 刘永辉 陈军 虞松 李从心 陈学文 |
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| 作者单位： | 上海交通大学,国家模具CAD工程研究中心,上海,200030 |
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| 摘 要： | 将无网格伽辽金法(EFGM)与三维刚(粘)塑性流动理论相结合,对EFGM在金属三维塑性成形过程数值模拟中的应用技术进行了研究.分别采用边界奇异权法和修正的罚函数法处理速度边界条件和体积不可压缩条件,采用反正切摩擦模型处理摩擦边界条件,推导了金属三维塑性成形过程EFGM法数值模拟的刚度方程,给出了关键算法.对长方体金属镦粗过程进行了数值模拟,并将数值结果与三维刚塑性有限元体积成形商品软件Deform3D计算结果作了比较.发现两者吻合良好,表明了本文方法的正确性和有效性.
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| 关 键 词： | 无网格伽辽金法 移动最小二乘近似 边界奇异权法 金属三维塑性成形 修正罚函数法 |
| 文章编号： | 1006-2467(2006)10-1654-04 |
| 修稿时间： | 2005年9月5日 |
The Numerical Simulation of Three-dimensional Metal Forming by Element-Free Galerkin Method |
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| LIU Yong-hui,CHEN Jun,YU Song,LI Cong-xin,CHEN Xue-wen.The Numerical Simulation of Three-dimensional Metal Forming by Element-Free Galerkin Method[J].Journal of Shanghai Jiaotong University,2006,40(10):1654-1657. |
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| Authors: | LIU Yong-hui CHEN Jun YU Song LI Cong-xin CHEN Xue-wen |
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| Abstract: | A new approach for simulating 3D metal forming was proposed by combining element-free Galerkin method(EFGM) with the flow theory of 3D rigid-(visco)plastic mechanics.The boundary singular kernel method and modified penalty method are utilized to treat the velocity boundary conditions and incompressibility constraint,respectively.The arc-tangential friction model is employed to treat the contact conditions.The stiffness equation for the analysis of 3D metal forming using EFGM is derived and its key algorithm is given.A 3D upsetting is analyzed and the numerical results are compared with the commercialized FEM software Deform~(3D).The good agreement demonstrates the validity and effectiveness of the proposed method. |
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| Keywords: | element-free Galerkin method(EFGM) moving least squares(MLS) approximation boundary singular kernel three-dimensional metal forming modified penalty method |
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