Abstract
The estimate of a distribution law of the nodule diameters in a volume of cast iron provides information about the graphite nucleation kinetics, and also about the crystallization kinetics. This information is essential for building more accurate mathematical models of the alloy crystallization. The mapping of a Cumulative Distribution Function (CDF3) of radii for graphite nodules in ductile iron is presented on the base of a Probability Density Function (PDF1) of the chord length distribution for random sections of the sample at the planar cross-section.
Highlights
Ductile Cast Iron (DI) is a widely used alloy of the modern technique due to his high level of functional and technological quality
Among the factors that influence on the properties of DI are the volume fraction of the graphite nodules, their volumetric quantity and size distribution
As it is has been proved in [13] the empirical cumulative distribution function of the spherical particles size (CDF3) can be calculated on the basis of the statistical distribution of the length of the chords (PDF1) obtained by intersecting spherical particles with a system of random secants
Summary
Ductile Cast Iron (DI) is a widely used alloy of the modern technique due to his high level of functional and technological quality. Depending on the chemical composition and processing method, the mechanical properties of DI can vary within a wide range. Among the factors that influence on the properties of DI are the volume fraction of the graphite nodules, their volumetric quantity and size distribution. [1] the results of the use of X-ray microtomography for estimation a three-dimensional size distribution and quantitative characteristic of the morphology of graphite nodules in the stepwise casting of cast iron from cast iron are presented. The graphite nodules whose diameter is smaller than 25 μm are ignored because of the resolution of 3D volume and the interference of inclusion and microporosity. It is for this reason that samples of castings with a wall thickness of less than 15 mm were not analyzed
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