INFLUENCE OF PARTICLE SIZE DISTRIBUTIONS ON THE FRACTAL DIMENSION OF THE COMPOSITE BASED ON GENERATED MODELS

  • I.V. Krasikov Інститут проблем матеріалознавства ім. І.М. Францевича НАН України
  • I.E. Krasikova Інститут проблем матеріалознавства ім. І.М. Францевича НАН України
  • O.O. Vasiliev Інститут проблем матеріалознавства ім. І.М. Францевича НАН України
Keywords: fractal dimension, mathematical statistics, probability distribution, composite, structure, modeling

Abstract

The paper deals with modeling of the influence of inclusion particle size distribution on the structural characteristics (fractal dimensionality) of composite materials. Different distributions in a wide range of ratios of standard deviation to mathematical expectation are studied. It was found out that for practically significant cases, when the standard deviation is less than half of the mathematical expectation, such influence is small and can be neglected

Published
2024-12-20
Section
Статті