Geodesic
Application of mathematical modeling to obtaining thermoelastic characteristics of composite materials reinforced with nanostructure inclusions
Matematičeskoe modelirovanie, Tome 29 (2017) no. 10, pp. 45-59

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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
Mots-clés : carbon nanotubes. 
@article{MM_2017_29_10_a4,
     author = {V. S. Zarubin and E. S. Sergeeva},
     title = {Application of mathematical modeling to obtaining thermoelastic characteristics of composite materials reinforced with nanostructure inclusions},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {45--59},
     publisher = {mathdoc},
     volume = {29},
     number = {10},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2017_29_10_a4/}
}
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V. S. Zarubin; E. S. Sergeeva. Application of mathematical modeling to obtaining thermoelastic characteristics of composite materials reinforced with nanostructure inclusions. Matematičeskoe modelirovanie, Tome 29 (2017) no. 10, pp. 45-59. http://geodesic.mathdoc.fr/item/MM_2017_29_10_a4/