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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2017 Volume 29, Number 10, Pages 45–59 (Mi mm3898)

This article is cited in 10 papers

Application of mathematical modeling to obtaining thermoelastic characteristics of composite materials reinforced with nanostructure inclusions

V. S. Zarubin, E. S. Sergeeva

Bauman Moscow State Technical University

Abstract: Two-level mathematical model describing the thermo-mechanical interaction of the elements of the composite structure (nanoclusters formed from randomly assigned anisotropic single-walled carbon nanotubes and the matrix particles) with an isotropic medium with thermoelastic characteristics was built. This model was used for the first time for the self-consistent method of thermo-elastic properties of nanoclusters and then the same method was used to describe the thermo-mechanical interaction of nanoclusters with an isotropic matrix composite. A comparative analysis of the received dependencies for the composite modulus of elasticity and the coefficient of linear thermal expansion with two-sided estimates of these characteristics, based on the dual variational formulation of the thermoelasticity problem, was provided. Also for comparison the results of a numerical experiment was used. Presented relations allow to predict the thermoelastic properties of advanced composite materials reinforced with these nanocluster.

Keywords: model of the composite structure, thermoelastic characteristics, method of selfconsistent, two-sided estimates, nanoclusters, carbon nanotubes.

Received: 09.02.2017


 English version:
Mathematical Models and Computer Simulations, 2018, 10:3, 288–298

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