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工程科学与技术:2013,45(1):67-73
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斜轧延伸过程的无网格RPIM方法数值模拟
(1.太原科技大学 应用科学学院;2.太原科技大学 材料科学与工程学院)
Numerical Simulation of Skew Extension Rolling Process by Radial Points Interpolation Method(RPIM)
(1.School of Applied Sci.,Taiyuan Univ. of Sci. and Technol.;2.School of Material Sci. and Eng.,Taiyuan Univ. of Sci. and Technol.)
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投稿时间:2012-04-18    修订日期:2012-10-15
中文摘要: 应用微压缩刚塑性材料的流动法则,建立了基于无网格径向点插值法(RPIM)的斜轧延伸过程的3维计算模型。径向基函数具有Delta函数性质,可以直接施加本质边界条件,通过添加多项式基函数可以精确重构多项式,因此很适合应用于金属塑性成形过程的模拟。利用在咬入处节点加密的方法处理速度不连续面上的奇异点,采用动态支持域搜索法搜索场节点以消除或缓解因节点分布不均造成的影响,利用缩减积分可有效消除延伸过程的体积闭锁现象。通过编制程序计算,并将计算结果与有限元模拟结果和实验结果相比较,结果吻合良好,从而验证了此方法的可行性和有效性,且可用于其它斜轧过程的模拟。
Abstract:By applying flow rule of micro compression rigid plastic material, a three dimensional calculation model based on radial basis points interpolation RPIM of skew extension rolling process was established.The radial basis function has Delta function properties so that the essential boundary conditions can be applied directly.The polynomial functions can be accurately reproduced and has higher precision through adding polynomial functions to the radical basics function(RBF), hence it is suitable for metal plastic forming process simulation.Singularities in velocity discontinuity are eliminated using the method of node encryption in biting place,and applying searching method to search field nodes so as to eliminate or ease the impact of uneven distribution nodes.Finally,volume locking phenomenon can be eliminated by reduced integral in rotary extension process. The comparison of calculation results with results of finite element method simulation and experiment verified the feasibility and effectiveness of skew extension rolling process simulation by RPIM.
文章编号:201200284     中图分类号:    文献标志码:
基金项目:国家自然科学基金资助项目(50954003);山西省青年基金资助项目(2012021019-4);太原科技大学博士启动基金资助项目(20122015)
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孙杰,胡建华,双远华,梁清香,董双巧.斜轧延伸过程的无网格RPIM方法数值模拟[J].工程科学与技术,2013,45(1):67-73.
Sun Jie,Hu Jianhua,Shuang Yuanhua,Liang Qingxiang,Dong Shuangqiao.Numerical Simulation of Skew Extension Rolling Process by Radial Points Interpolation Method(RPIM)[J].Advanced Engineering Sciences,2013,45(1):67-73.