Fractal Surfaces

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:

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