非局部摩擦在几种塑性成形工艺中的应用

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)

Application of Nonlocal Friction in Several Kinds of Plastic Forming Problems

School of Mechanical and Electrial Engineering, Nanchang University, Nanchang 330029, P. R. China

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．
- 非局部摩擦 /
- 塑性成形 /
- 近似解
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.
- nonlocal friction /
- plastic working /
- approximate solution

[1]	B·艾维超[美]. 金属成形工艺与分析[M].王学文，肖文斌，张鸿光译.北京：国防工业出版社，1988.
[2]	Oden J T，Pires E B.Nonlocal and nonlinear friction laws and variational principles for contact problems in elasticity[J].Journal of Application Mechanical of ASME,1983,50(3):67—76. doi: 10.1115/1.3167019
[3]	赵志业主编.金属塑性加工力学[M].北京：冶金工业出版社，1987.
[4]	林治平编著.锻压变形力的工程计算[M].北京：机械工业出版社，1986.
[5]	郭燕伶，罗富美.变薄翻边成形工序中摩擦的影响[J].锻压技术，2002，27（3）：20—21.
[6]	A·H·奈弗.摄动方法[M].王辅俊，徐钧涛，谢寿鑫译.上海：上海科技出版社，1984.
[7]	郭良，扶名福.楔形模宽条料拉拔非局部摩擦问题及近似求解[J].南昌大学学报（工科版），2001，23（1）：1—4.
[8]	郭良，扶名福，陈桂尧.非局部摩擦问题在平面镦粗中的应用及其近似解[J].塑性工程学报，2001，8（1）：59—61.