非局部摩擦在塑性加工中的应用

An Application of Nonlocal Friction in Plastic Working Problems

在几类金属塑性成形加工问题中,为了考虑金属材料表面微凸体在模具与工件之间的接触区上的非局部摩擦效应,采用Oden等提出的非局部摩擦模型,借助主应力法,建立了相应问题的单元体的积微分形式的力平衡方程。在简化的情况下,利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。分析了影响接触压力非局部效应的各种因素。

In order to consider the nonlocal friction effect of the asperities on the rough contact surface between the die and the workpiece in a variety of metal forming problems, the nonlocal friction model proposed by Oden et al is adopted in this paper. The mechanical equilibrium equations in the integral-differential form are obtained by using the 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 are obtained and the factors which affect the nonlocal friction effect are analyzed here.