Conclusions
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1.
A single three-parameter function is used to describe the distribution of the diameters of microscopic spheres, the distances between them, and the angles between straight lines connecting the centers of adjacent microspheres.
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2.
The distribution of the microsphere diameters in the spherical plastic is identical to the distribution of the maximum diameters of the microspheres.
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3.
Analysis of the microsphere distribution in the plastic shows that the mutual location of the spheres in the sections corresponds to a hexagonal structure.
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4.
Empirical curves of microsphere distribution in the sections make it possible to select appropriate models for composite materials with an unordered structure.
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Literature cited
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A. F. Bogomolova and N. A. Orlova, “Quantitative characteristic of the structure of a threshold space,” Zh. Prikl. Mekh. Tekh. Fiz., No. 4, 77–81 (1961).
G. A. Van Fo Fy, V. V. Klyavlin, and V. P. Gordienko, “Study of the fiber distribution in oriented glass-fiber-reinforced plastics,” Mekh. Polim., No. 2, 282–287 (1969).
G. A. Vanin, “Principles of a theory of composite materials with an unordered structure,” Prikl. Mekh.,19, No. 3, 9–18 (1983).
G. A. Vanin, “New distribution functions in the mechanics of composite media,” Prikl. Mekh.,20, No. 5, 25–31 (1984).
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Translated from Mekhanika Kompozitnykh Materialov, No. 3, pp. 404–408, May–June, 1985.
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Vanin, G.A., Stelikov, N.E. Study of the distribution of microspheres in spheroidal plastics. Mech Compos Mater 21, 263–267 (1985). https://doi.org/10.1007/BF00611608
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DOI: https://doi.org/10.1007/BF00611608