作　　者： ; ; ; ;

机构地区： 东北大学材料与冶金学院轧制技术及连轧自动化国家重点实验室

出　　处： 《东北大学学报（自然科学版）》 2002年第9期858-861,共4页

摘　　要： 以矢量分析法建立了平冲头压入半无限体速度矢量场并证明其散度为零·由上界定理与待定参数法经参量积分与广义积分得到了不同摩擦条件下冲头压力 p的通解·证明了m =0时 ,通解的最小上界值与Hill滑移线解一致·给出了不同摩擦条件 p的最小上界值表达式及m与θ的关系式·结果通过m对 p影响的定量分析得到冲头压力与摩擦系数有关的不同结论· A velocity vector field for indentation by a flat punch was established with vector analysis and its divergence was proved to be zero. From Upper bound theorem with an undetermined parameter,a general solution of indentation force corresponding to different frictions was obtained through parametric and improper integrations. It is shown that when m =0(frictionless),the minimum value of the general solution is just the same with that of Hill slip line field. The expressions of the minimum upper bound value of velocity vector with various friction factors as well as the relationship between m and θ are presented. Thus,discussion of quantitative effect of friction factor m on the velocity vector shows a different conclusion that the mean punch force is closely related to the friction condition.

关 键 词： 半无限体 冷冲压 平冲头 矢量分析 广义积分 待定参数 摩擦 定量计算 冲头压力

领　　域： [金属学及工艺]