Model, analysis of 3D structure and method for calculating the physical and mechanical characteristics of reinforced polymer composite materials

Trofimov, D. A.; Simonov-Emel’yanov, I. D.; Shalgunov, S. I.; SOKOLOV, V. I.

doi:10.52190/2073-2562_2022_3_10

Cited by 1 publication

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“…Let's assume that ε mpermittivity of the matrix, ε i , i = 1, n, the permittivity tensors of the shell layers, including the core, of each inclusion; a i,1 , a i,2 , a i, 3 , i = 1, nthe half-axes of the surfaces ellipsoids S (k) i , which are the boundaries of the shell layers and the core of k-th inclusion. Let's assume that fthe total volume fraction of all inclusions in the medium.…”

Section: Composite Consisting Of Isotropic Matrix and Identical Inclu...mentioning

confidence: 99%

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Generalized effective-field approximation for inhomogeneous medium with inclusions in multilayered shells

2022

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An approach is proposed for calculating effective physical characteristics of a inhomogeneous medium with several levels of nesting of its microstructure --- the generalized effective-field approximation. With the help of this approach, an expression is obtained for an effective permittivity tensor of an inhomogeneous medium with ellipsoidal inclusions in a multilayered shell, the boundaries of all layers of which are ellipsoids. The proposed approach allows to take into account probabilistic distributions of orientations and forms of inclusions, as well as the presence of several types of inclusions. Two cases of matrix composites are considered: 1) with spherical isotropic inclusions with a multilayered shell; 2) with ellipsoidal anisotropic inclusions with a multilayered shell. For an inhomogeneous medium with homogeneous inclusions, this approximation is shown to produce the same result as the generalized singular approximation. Keywords: inhomogeneous medium, composite, matrix, inclusion, multilayered shell, generalized effective-field approximation, generalized singular approximation, effective permittivity.

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Section: Composite Consisting Of Isotropic Matrix and Identical Inclu...mentioning

confidence: 99%

“…Also, structures with one level of nesting are matrix-type composites with homogeneous inclusions. In this case, a continuous component, called the matrix, completely surrounds the particles of other components (inclusions) [2,3].…”

Section: Introductionmentioning

confidence: 99%