The paper presents validation tests for method which is used for the evaluation of the statistical distribution parameters for 3D particles’ diameters. The tested method, as source data, uses chord sets which are registered from a random cutting plane placed inside a sample space. In the sample space, there were individually generated three sets containing 3D virtual spheres. Each set had different Cumulative Distribution Function (CDF3) of the sphere diameters, namely: constant radius, normal distribution and bimodal distribution as a superposition of two normal distributions. It has been shown that having only a chord set it is possible, by using the tested method, to calculate the mean value of the outer sphere areas. For the sets of data, a chord method generates quite large errors for around 10% of the smallest nodules in the analysed population. With the increase of the nodule radii, the estimation errors decrease. The tested method may be applied to foundry issues e.g. for the estimation of gas pore sizes in castings or for the estimation of nodule graphite sizes in ductile cast iron.

JO - Archives of Foundry Engineering L1 - http://rhis.czasopisma.pan.pl/Content/104620/PDF/afe-2017-0132.pdf L2 - http://rhis.czasopisma.pan.pl/Content/104620 PY - 2017 IS - No 4 KW - Stereological analysis KW - Linear analysis KW - Nodule size distribution A1 - Gurgul, D. A1 - Burbelko, A. A1 - Wiktor, T. PB - The Katowice Branch of the Polish Academy of Sciences VL - vol. 17 JF - Archives of Foundry Engineering DA - 2017 T1 - Theory of the Stereological Analysis of Spheroid Size Distribution – Validation of the Equations UR - http://rhis.czasopisma.pan.pl/dlibra/docmetadata?id=104620 DOI - 10.1515/afe-2017-0132 ER -