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Vol 37 Iss. 3
Pages:
39-57
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RUS
Article

On the theory of stochastic analysis of inclusions parameters

Authors:
M. L. Verzhbinskii
Date submitted:
1960-09-20
Date accepted:
1960-11-06
Date published:
1961-09-04

Abstract

In many studies it is necessary to have information on the distribution laws of the geometrical characteristics (size, shape, etc.) of the phenocrysts 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 the slip.

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References

  1. Lavrov I. V. and Verzhbinsky M. L. Analysis of the microstructure of electrocorundum. Abrasives, 1959, No. 25.
  2. Zhuravskiy A. M. Determination of the coarseness of phenocrysts. Jubilee Coll. of the Mechanobr. Institute. Ugletekhizdat, 1935.
  3. Glagolev A. A. Morpho-granulometric analysis of mass aggregates. AS Kaz. SSR, 1950.
  4. Vernstein S. N. Probability Theory. Gostekhizdat, 1946.
  5. Glivenko V. I. Probability theory course. GONTI, 1939.
  6. Kramer G. Random variables and probability distribution. FL, 1947.
  7. Whittaker, E. I. and Watson, G. N. A Course in Modern Analysis, pt. II. Gostekhtheoretizdat, 1934.
  8. Watson G. N. Theory of Besselian Functions. FL, 1949.
  9. Saltykov S. A. Introduction to stereometric metallography. AS Arm. SSR, 1950.
  10. Todes O. M., Zvyagin B. M. and Bogorad E. A. About petrographic method of determination of true sizes of inclusions. University Proc., Mining Journal, 1958, No. 4.
  11. Slector A. G. Static analysis of structures with spherical grains. Zavodskaya Laboratoriya, 1955, No. 2.
  12. Koyda N. U. To the question of constructing a series of particle size distribution, inhomogeneous material. Zavodskaya Laboratoriya, 1957, No. 8.
  13. Huber A. Z. Phys., 1935, V. 93, No. 3-4.
  14. Shell E. Z. Metallurgy, 1935, V. 27, N 9.
  15. Cheng Kaichia. Chinese Journal of Physics, 1957, v. 13, No. 1, p. 58-68.

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