基于分形理论的高速压制粉末颗粒摩擦力分析  

Study of the Powder Particles' Friction in HVC Based on Fractal Theory

作　　者：谷成玲[1] 

机构地区：[1]莱芜职业技术学院,山东莱芜271100

出　　处：《吉首大学学报（自然科学版）》2011年第4期55-59,67,共6页Journal of Jishou University(Natural Sciences Edition)

基　　金：国家重点基础研究发展规划973项目(2006CB605207);湖南省科技计划资助项目(2007RS4028);中南大学博士后基金项目

摘　　要：按Bowden和Tabor的原始处理,基于分形理论将总黏着摩擦系数表示为弹性及塑性区中的黏着摩擦系数的组合,建立了黏着摩擦系数的分形模型和粉末颗粒的内摩擦与分形维数的数学模型.通过函数曲线分析了粉末颗粒的分形维数对总的黏着摩擦系数、粉末颗粒的内摩擦力的影响.研究表明:对于一定的分形维数,总的黏着摩擦系数随归一接触面积的增大而急剧减小,粉末颗粒的内摩擦力随粉末颗粒的分形维数的增大和温度的升高而很快达到材料的塑性剪切强度值.According to the original proposal of Bowden and Tabor and based on the fractal theory,the total adhesive friction coefficient is expressed as a combination of the adhesive friction coefficient in elastic and plastic regime.Then a fractal model of adhesive friction coefficient is proposed.And a mathematical model of the relationship of powder particles＇ internal friction and fractal parameter is built.Through the function curves,it is analyzed that the fractal dimension of the surface of the powder particle has impact on the total adhesive friction coefficient and the inner friction.The study shows that for certain fractal dimension,the total adhesive friction coefficient reduces sharply as the normalized contact area increases and the inner friction can reach the value of plastic shearing intensity rapidly as the fractal dimension and the temperature of the surface of the powder particle increase.

关 键 词：分形维数 高速压制 黏着摩擦系数 内摩擦 

分 类 号：TB383[一般工业技术—材料科学与工程] O29[理学—应用数学]