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非局部摩擦在几种塑性成形工艺中的应用
引用本文:闫小青,罗海宝,扶名福,江五贵.非局部摩擦在几种塑性成形工艺中的应用[J].应用数学和力学,2005,26(11):1287-1292.
作者姓名:闫小青  罗海宝  扶名福  江五贵
作者单位:南昌大学 机电学院,南昌 330029
基金项目:国家自然科学基金资助项目(19762002),教育部高等学校骨干教师资助计划项目(1964)
摘    要:为了考虑金属材料表面微凸结构对模具与工件接触区域上的非局部摩擦效应,在几种金属塑性成形加工问题中,首次采用Oden等提出的非局部摩擦定律代替经典的库仑摩擦定律,利用主应力法或工程法建立了相应问题的积微分形式的力平衡方程.在简化的情况下,采用摄动法求得接触面上接触压力在非局部摩擦下的近似解析解,并分析了影响接触压力非局部效应的相关因素.

关 键 词:非局部摩擦    塑性成形    近似解
文章编号:1000-0887(2005)11-1287-06
收稿时间:11 3 2003 12:00AM
修稿时间:07 5 2005 12:00AM

Application of Nonlocal Friction in Several Kinds of Plastic Forming Problems
YAN Xiao-qing,LUO Hai-bao,FU Ming-fu,JIANG Wu-gui.Application of Nonlocal Friction in Several Kinds of Plastic Forming Problems[J].Applied Mathematics and Mechanics,2005,26(11):1287-1292.
Authors:YAN Xiao-qing  LUO Hai-bao  FU Ming-fu  JIANG Wu-gui
Institution:School of Mechanical and Electrial Engineering, Nanchang University, Nanchang 330029, P. R. China
Abstract:The nonlocal friction law proposed by Oden et al was adopted in order consider the nonlocal friction effect of the asperities on the rough contact surface between the die and the workpiece in several kinds of metal plastic forming problems.The mechanical equilibrium equations with the integral-differential form were obtained by using the engineering method or slab method,and solved approximately by using the perturbation method.The normal stress distributions on the contact surfaces in metal forming problems with nonlocal friction were obtained,and the factors which affect the nonlocal friction effect were analyzed.
Keywords:nonlocal friction  plastic working  approximate solution
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