Transactions of Materials and Heat Treatment

Title：Numerical simulation with element free Galerkin method for bulk forming and its test verification

Authors： WANG Hai-bo WAN Min WU Xiang-dong CHEN Xiao-ci LI Peng-chuan

Unit： North China University of Technology Beihang University China National Erzhong Group Company

KeyWords： bulk forming element free Galerkin method numerical simulation

ClassificationCode：TG316

year,vol(issue):pagenumber：2012,37(3):149-152

Abstract：

The basic formulas of element free Galerkin method was established with moving least squares approximation function. The constitutive relation was given based on Mises yield criterion and rigid plastic flow theory. The linear function was adopted as the basic function. The numerical simulation procedure of element free Galerkin method in three-dimensional space was developed by combining the element free Galerkin method and rigid plastic flow theory. The three dimensional bulk forming test was carried out and simulated with the developed element free Galerkin method numerical simulation procedure and ABAQUS finite element software. The results indicate that the distributions of the nodes and the equivalent plastic strain based on element free method are relatively closed to those based on finite element method. The feasibility of the element free Galerkin numerical simulation procedure was verified by comparing the simulated and test results.

Funds：

工信部国家科技重大专项资助项目（2009ZX04014-076）

Reference：

［1］李光耀，钟志华. 二维体积成型过程的无网格法分析[OL]. [2004-06-22]. 中国科技论文在线，http:∥www.paper.edu.cn/index.php/default/releasepaper/content/200406-95.
［2］彭颖红.金属塑性成形仿真技术[M].上海: 上海交通大学出版社,
［3］Belytschko T，Lu Y Y，Gu L. Element\|free Galerkin methods[J].International Journal for Numerical Methods in Engineering，1994，37(2)：229-256.
［4］Belytschko T，Krongauz Y，Organ D，et al.Meshless methods:an overview and recent developments[J].Computer Methods in Applied Mechanics in Engineering，1996，139 (1 4) ：3-47.
［5］Jun S，Liu W K，Belytschko T.Explicit reproducing kernel particle methods for large deformation problems[J].International Journal for Numerical Methods in Engineering，1998，41(1)：137-166.
［6］Xiong S W，Liu W K，Gao J，et al.Simulation of bulk metal forming processes using the reproducing kernel particle method[J].Computers and Structures，2005，(83)： 574-587.
［7］Guan Y J，Zhao G Q，Wu X，et al.Massive metal forming process simulation based on rigid/visco-plastic element-free Galerkin method[J].Journal of Materials Processing Technology，2007，(187 188)：412-416.
［8］Lu P，Zhao G Q，Guan Y J，et al. Bulk metal forming process simulation based on rigid\|plastic/viscoplastic element free Galerkin method[J].Materials Science and Engineering: A，2008，479(12)：197-212.
［9］Gingold R A，Moraghan J J.Smoothed particle hydrodynamics:theory and applications to non\|spherical stars[J].Monthly Notices of the Royal Astronomical Society，1977，18(1)：375-389.
［10］Krongauz Y，Belytschko T. A Petrov\|Galerkin diffuse element method (PG DEM) and its comparison to EFG[J].Computational Mechanics，1992，10(5)：327-333.
［11］Liu W K，Jun S, Zhang Y F.Reproducing Kernel particle methods[J]. International Journal for Numerical Methods in Engineering,1995，20(1)：1081-1106.
［12］Liu W K，Jun S，Li S F， et al.Reproducing Kernel particle methods for structural dynamics[J].International Journal for Numerical Methods in Engineering. 1995，38(1)：165-167.
［13］李晶，杨玉英，刘红生.无网格Galerkin法的理论进展及其应用研究[J].材料科学与工艺，2007，15：（2）：186-191.
［14］Guo Y M，Nakanishi K.A backward extrusion analysis by the rigid plastic integradless meshless method[J].Journal of Materials Processing Technology，2003，140(1)：19-24.
［15］王卫东.无网格伽辽金法及其在金属塑性成形过程数值模拟中的应用研究[D].山东：山东大学，2003.

［16］吴欣.金属塑性成形过程无网格伽辽金方法及其关键技术研究[D].山东：山东大学，2006.
［17］路平.三维金属体积成形过程无网格伽辽金方法及其关键技术研究[D].山东：山东大学，2008.
［18］Belytschko T, Krongauz Y, Fleming M, et al. Smoothing and accelerated computations in the element\|free Galerkin method[J]. Journal of Computational and Applied Mathematics，1996，74：111-126.

Service：

【This site has not yet opened Download Service】【Add Favorite】