Extracting Dispersion from Roughness

摘要

A mathematical analysis of surfaces may help to understand bow the carbon black is dispersed into polymer, Rubber samples are broken out. and the rupture interface is scanned with a prolilometer. The roughness is detected at the micron scale. Roughness functions are defined, measuring the average oscillations of the surface. The roughness behaviour is "fractal" for small scales until around 10 microns, then become linear. A wuyhness ralio is defined, depending both on the scale and on the mixing time. There is evidence to suggest that the roughness ratio does not depend on the polymer, but only 011 the dispersion of the filler. A dispersion factor is derived, and results are shown on three different compounds.