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Flat Space of Values of Volume Module of Grain Composite with Spherical Fill-Lem

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Document pages: 10 pages

Abstract: The rapid growth in the production of polymer composites leads to their penetration into various fields of technology, to the crowding out of them by many traditional materials and the so-called “pure” - unfilled polymers. The needs for the development of composites are stimulated by their theoretical comprehension. In parallel with empirical research, the theory of composite materials is being developed and deepened, aimed at increasing the number of applied problems in the mechanics of composites [1, 2, 5, 6, 7, 13-15]. This study addresses one of these challenges. Moreover, the formula of R. Christensen [9], for calculating the bulk modulus of polydisperse composites with a spherical inclusion (filler) is reduced to function 3 dimensionless parameters, convenient for the numerical study of the function. As a result, it turns out that the countless solutions given by the above formula are reduced to a system of ordered subsets that can be graphically represented by figures in flat space. This significantly expands the possibilities of experimental verification of the predicted properties of composites.

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