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Extracting Dispersion from Roughness

Published online by Cambridge University Press:  21 March 2011

Claude Tricot*
Affiliation:
Laboratoire de Mathématiques Pures, Université Blaise Pascal63177 Aubiére, France
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Abstract

A mathematical analysis of surfaces may help to understand how the carbon black is dispersed into polymer. Rubber samples are broken out, and the rupture interface is scanned with a prolometer. The roughness is detected at the micron scale. Roughness functions are dened, measuring the average oscillations of the surface. The roughness behaviour is “fractal” for small scales until around 10 microns, then become linear. A roughness ratio 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 on the dispersion of the filler. A dispersion factor is derived, and results are shown on three diserent compounds.

Type
Research Article
Copyright
Copyright © Materials Research Society 2001

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References

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