Similarity and fractality in the modelling of roughness by a multilevel profile with hierarchical structure
✍ Scribed by F.M. Borodich; D.A. Onishchenko
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 819 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0020-7683
No coin nor oath required. For personal study only.
✦ Synopsis
Some modern scaling and fractal approaches to the characterization of surface roughness are under consideration[ A new mathematical model of a multilevel pro_le suitable for ~exible simulation of roughness is presented as a development from these approaches[ The iterative construction of the model is described[ It is shown that the pro_le is a hierarchical structure with self!a.ne and fractal features[ Its geometrical properties are studied both analytically and numerically\ and some of them are proved to be of the renormalization type[ The pro_le contour length can be _nite or in_nite depending on the chosen values of the structural parameters[ Some characteristics including the bearing curve and the upper volume function of the pro_le and the corresponding prestructures are calculated[ Þ 0888 Elsevier Science Ltd[ All rights reserved