非局部摩擦在几种塑性成形工艺中的应用  

Application of Nonlocal Friction in Several Kinds of Plastic Forming Problems

作　　者：闫小青[1] 罗海宝[1] 扶名福[1] 江五贵[1] 

机构地区：[1]南昌大学机电学院,南昌330029

出　　处：《应用数学和力学》2005年第11期1287-1292,共6页Applied Mathematics and Mechanics

基　　金：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.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.

关 键 词：非局部摩擦 塑性戍形 近似解 

分 类 号：TG3[金属学及工艺—金属压力加工] O34[理学—固体力学]