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文章标签 ‘roughness’

Fractal Surfaces

2012年11月1日 没有评论

Wolfgang Pauli: "If god made the bulk, surfaces were invented by the devil."

We are using the Weierstrass-Mandelbrot function to generate virtual surface profiles. The following figures are the same surface (a self-affine surface), just using differnt resolution to reproduce plots. The important part about using such a fuction is that we can have an analytical form of the surface, including the possiblity to derive local curvature on the surface.

A real surface under AFM:

Referece:
Yan and Komvopoulos (1998) Contact analysis of elastic-plastic fractal surface. Journal of Applied Physics 84(7): 3617-3624.


Surface roughness from AFM

2012年8月6日 没有评论

AFM image of a sandblasted aluminum plate, in a 5 um x 5 um area. 

Reconstructed from raw data in the TIFF file, converted from RGB to Grayscale.

Done in Mathematica.