On the theory of stochastic analysis of inclusions parameters
Abstract
In many studies it is necessary to have information on the distribution laws of the geometrical characteristics (size, shape, etc.) of the inclusions contained in a mass of solid matter. However, it is often not possible to measure directly the grains representing the inclusions, because their mechanical separation from the binding medium without significant damage is impossible (e.g., for electrocorundum). Meanwhile, it is possible to make an indirect judgment about the distribution of the geometrical parameter of the grain from the experimentally found distributions of some parameters of the plane cross sections of inclusions observed in thin section .
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References
- Lavrov I. V. and Verzhbinsky M. L. Analysis of the microstructure of electrocorundum. Abrasives Abrazivy, 1959, No. 25.
- Zhuravskiy A. M. Determination of the coarseness of phenocrysts. Jubilee Coll. of the Mechanobr. Institute Yubileynyy sb. in-ta Mekhanobr. Ugletekhizdat, 1935.
- Glagolev A. A. Morpho-granulometric analysis of mass aggregates. AS Kaz. SSR AN Kaz. SSR, 1950.
- Bernstein S. N. Probability Theory. Gostekhizdat, 1946.
- Glivenko V. I. Probability theory course. GONTI, 1939.
- Kramer G. Random variables and probability distribution. FL IL, 1947.
- Whittaker, E. I. and Watson, G. N. A Course in Modern Analysis, pt. II. Gostekhtheoretizdat, 1934.
- Watson G. N. Theory of Besselian Functions. FL IL, 1949.
- Saltykov S. A. Introduction to stereometric metallography. AS Arm. SSR AN Arm. SSR, 1950.
- Todes O. M., Zvyagin B. M. and Bogorad E. A. About petrographic method of determination of true sizes of inclusions. Izvestiya vysshikh uchebnykh zavedeniy. Gornyi zhurnal, 1958, No. 4.
- Slector A. G. Static analysis of structures with spherical grains. Zavodskaya Laboratoriya, 1955, No. 2.
- Koyda N. U. To the question of constructing a series of particle size distribution, inhomogeneous material. Zavodskaya Laboratoriya, 1957, No. 8.
- Huber A. Z. Phys., 1935, V. 93, No. 3-4.
- Shell E. Z. Metallkunde, 1935, V. 27, N 9.
- Cheng Kaichia. Acta physica sinica, 1957, v. 13, No. 1, p. 58-68.