PIM颗粒表面接触面积及接触载荷的分形模型

J4 ›› 2011, Vol. 46 ›› Issue (1): 114-118.

PIM颗粒表面接触面积及接触载荷的分形模型

邹娜娜¹,郑洲顺¹*,邴磊²，文娟¹，王爽¹

1.中南大学数学科学与计算机学院, 湖南长沙 410083;
2.武汉大学资源与环境学院, 湖北武汉 430079

收稿日期:2009-06-01 出版日期:2011-12-14 发布日期:2011-03-16
通讯作者: 郑洲顺(1964-),男,教授,博导,研究方向为偏微分方程数值解法及其应用. Email: 2009zhengzhoushun@163.com
作者简介:邹娜娜(1983-),女,硕士研究生,研究方向为偏微分方程数值解法及其应用. Email:zounanagood@163.com
基金资助:
国家自然科学基金资助项目(50874123);国家重点基础研究发展规划(973)资助项目(2006CB605207);中南大学研究生创新项目(3340-74335000002)

The fractal models of real contact area and contact load for particles surface in PIM

ZOU Na-na1, ZHENG Zhou-shun1*, BING Lei2，WEN Juan1, WANG Shuang1

1. School of Mathematical Science and Computational Technolgy, Central South University, Changsha 410083, Hunan,China;
2. School of Resources and Environment Science, Wuhan University, Wuhan 430079, Hubei, China

Received:2009-06-01 Online:2011-12-14 Published:2011-03-16

摘要/Abstract

摘要：

用Weierstrass-Mandelbrot分形函数来表征粉末颗粒表面轮廓的分形特性，然后根据接触力学理论,借助于弹性和塑性临界转化面积,分析了PIM中粉末颗粒接触时的弹塑性变形过程，进而得到了当颗粒表面发生弹性、弹塑性、塑性变形等不同接触状态时粉末颗粒表面真实接触面积和接触载荷的分形模型。

关键词: 弹塑性变形;真实接触面积;接触载荷;分形

Abstract:

The fractal characteristic of powder particle surface in PIM is represented by the Weierstrass-Mandelbrot fractal function. Based on the theory of contact mechanics, the process of elastic-plastic deformation as particles contact is analyzed by means the critical areas of elastic and plastic. The fractal models of real contact area and contact load for particles surface in PIM are calculated, when powder particles are in states of elastic, elastic-plastic and plastic.

Key words: elastic-plastic deformation; real contact area; contact load; fractal

邹娜娜1,郑洲顺1*,邴磊2，文娟1，王爽1. PIM颗粒表面接触面积及接触载荷的分形模型[J]. J4, 2011, 46(1): 114-118.

ZOU Na-na1, ZHENG Zhou-shun1*, BING Lei2，WEN Juan1, WANG Shuang1. The fractal models of real contact area and contact load for particles surface in PIM[J]. J4, 2011, 46(1): 114-118.

参考文献

多维度评价

Viewed

Full text

Abstract

Cited

Shared

Discussed