A mathematical model describing the thermoelastic characteristics of a composite reinforced by anisotropic ellipsoidal inclusions is proposed. The model is applied to estimating the thermoelastic properties in the case of strengthening the material with single-walled carbon nanotubes. The estimates obtained by the self-consistent method and dual variational formulation of a thermoelasticity problem for an inhomogeneous solid body are compared.
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References
P. Palermo, “Structural ceramic nanocomposites: a review of properties and powders synthesis methods,” Nanomaterials, 5, No. 2, 656-696 (2015).
J. Eshelby, The Continuum Theory of Lattice Defects, Academic Press, N.Y. (1956).
T. D. Shermergor, Theory of Elasticity of Microinhomogeneous Media [in Russian], Nauka, Moscow (1977).
R. M. Christensen, Mechanics of Composite Materials, John Willey & Sons, N. Y. (1974).
B. E. Pobedrya, Mechanics of Composite Materials [in Russian], Izd. MGU, Moscow (1984).
V. S. Zarubin and G. N. Kuvyrkin, Mathematical Models of mechanics and Elecrodynamics of Continuous Media [in Russian], Izd. MGTU, Moscow (2008).
V. S. Zarubin and V. S. Sergeeva, “Investigation of the connection of the elastic characteristics of a single-layer carbon nanotube and graphene,” Vest. MGTU, Ser. Estestv.Nauki, No. 1, 100-110 (2016).
V. S. Zarubin, G. N. Kuvyrkin, and I. Yu. Savel’eva, “Evaluation of the linear thermal expansion coefficient of a composite with disperse anisotropic inclusions by the self-consistency method,” Mech. Compos. Mater., 52, No. 2, 143-154 (2016).
V. S. Zarubin, G. N. Kuvyrkin, and I. Yu. Savel’eva, “Estimates of the elastic characteristics of a composite with short anisotropic fibers,” Mech. Compos. Mater., 53, No. 4, 497-504 (2017).
I. Yu. Tsvelodub, “On the inverse Eshelby tensor,” Vest. CHGPU, Ser. Mekh. Predel’n. Sost., No. 2, 530-535 (2010).
M. Onami, et. al., Introduction to Micromechanics, Metallurgiya [in Russian], Moscow (1987).
Handbook of Composites, Vol. 1. /Ed. J. Lubin, Van Nostrand Reinhold (1982).
Physical Quantities: Handbook /Eds. I. S. Grigoriev and E. Z. Melikhova, Energoatomizdat, Moscow (1991).
I. E. Berinskii and A. M. Krivtsov, “On the use of multiparticle interatomic potentials for calculating the elastic characteristics of graphene and diamond,” Izv. RAN, Mech. Tverd. Tela, No. 6, 60-85 (2010).
H. Jiang, B. Liu, Y. Huang, and K. C. Hwang, “Thermal expansion of single-wall carbon nanotubes,” J. of Eng. Mater. and Technology, 126, 265-270 (2004).
Acknowledgements
This work was performed within the framework of state task of the Ministry of Education and Science of Russian Federation (Projects 9.7784.2017/BCh and 9.2422.2017/PCh) and Grant 1069.2018.8 of program of the President of the Russian Federation for the State support of young candidates of science.
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Translated from Mekhanika Kompozitnykh Materialov, Vol. 55, No. 4, pp. 741-758, July-August, 2019.
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Zarubin, V.S., Savelyeva, I.Y. & Sergeeva, E.S. Estimates for the Thermoelastic Properties of a Composite with Ellipsoidal Anisotropic Inclusions. Mech Compos Mater 55, 513–524 (2019). https://doi.org/10.1007/s11029-019-09830-z
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DOI: https://doi.org/10.1007/s11029-019-09830-z