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弹塑性三维各向异性分形表面的接触分析

田红亮 赵春华 朱大林 秦红玲

三峡大学学报(自然科学版)2012,Vol.34Issue(1):69-73,5.
三峡大学学报(自然科学版)2012,Vol.34Issue(1):69-73,5.

弹塑性三维各向异性分形表面的接触分析

Contact Analysis of Elastoplastic Three-Dimensional Anisotropic Fractal Surfaces

田红亮 1赵春华 1朱大林 1秦红玲1

作者信息

  • 1. 三峡大学机械与材料学院,湖北宜昌 443002
  • 折叠

摘要

Abstract

A more useful generalization of the univariate scalar Weierstrass-Mandelbrot function is a weighted, random superposition of such ridge-like surfaces. The height function of a three-dimensional anisotropic fractal surface is deduced. The three-dimensional anisotropic fractal surface characterization is analyzed. Fractal dimension is extended to the three-dimensional universality. There are different relations between the mi-crocontact real area in elastic and fully plastic contact state and the truncated area of the microcontact. The theoretical analysis can be easily applied to account for anisotropic fractal surfaces and different material behaviors.

关键词

三维各向异性分形表面/弹塑性/接触分析/单变量标量WM函数

Key words

three-dimensional anisotropic fractal surface/ elastoplasticity/ contact analysis/ univariate scalar WM function

分类

机械制造

引用本文复制引用

田红亮,赵春华,朱大林,秦红玲..弹塑性三维各向异性分形表面的接触分析[J].三峡大学学报(自然科学版),2012,34(1):69-73,5.

基金项目

国家自然科学基金资助项目(51075234) (51075234)

三峡大学学报(自然科学版)

OACSTPCD

1672-948X

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