12 / 14
16.
Ландау Л.Д.
,
Лифшиц Е.М.
Теоретическая физика. Т. 8. М.: Наука, 1982. 621 с.
17.
Димитриенко Ю.И.
Универсальные законы механики и электродинамики
сплошной среды / Механика сплошной среды. Т. 2. М.: Изд-во МГТУ
им. Н.Э. Баумана. 2011. 560 с.
REFERENCES
[1] Gefle O.S., Lebedev S.M., Pokholkov Yu.P. Complex permittivity frequency spectra
of composite dielectrics on the basis of polyvinylchloride.
Bulletin of the Tomsk
Polytechnic University
, 2007, vol. 310, no. 1, pp. 82–85.
[2] Emetch Yu.P. Effective permittivity of three-phase composite materials with an
anisotropic structure.
Technical Physics
, 2005, vol. 50, iss. 2, pp. 207–212.
[3] Muradyan V.E., Sokolov E.A., Babenko S.D., Moravskiy A.P. Microwave dielectric
properties of composites modified by carbon nanostructures.
Technical Physics
, 2010,
vol. 50, iss. 2, pp. 242–246.
[4] Kettunen H., Qi J., Wallen H., Sihvola A. Frequency dependence of effective
permittivity of simple dielectric composites.
Proceedings of ACES
. Tampere, Finland,
2010, pp. 248–253.
[5] Bakhvalov N.S., Panasenko G.P. [Homogenisation: Averaging Processes in Periodic
Media. Mathematical Problems in the Mechanics of Composite Materials]. Springer,
1989. 352 p.
[6] Bensoussan A., Lions J.L., Papanicalaou G. Asymptotic analysis for periodic
structures. Amsterdam, N.Y., North-Holland Publ. Co., 1978. 396 p.
[7] Sanchez-Palencia E. Boundary layers and edge effects in composites.
Lecture notes
in Physics
, 1987, no. 272, pp. 121–192.
[8] Shelukhin V.V., Terent’ev S.A. Homogenization of Maxwell equations and the
Maxwell –Wagner dispersion. Doklady Earth Sciences, 2009, vol. 424, no. 1,
pp. 155–159.
[9] Zarubin V.S., Kuvyrkin G.N., Savelyeva
I.Yu. Effective thermal conductivity of a
composite in case of inclusions shape deviations from spherical ones.
Mathematical
Modeling and Computational Methods
, 2014, no. 4. pp. 3–17 (in Russ.).
[10] Golovin N.N., Zarubin V.S., Kuvyrkin G.N. Estimation of effective of moduli
of materials modified by fullerene.
Composites and nanostructures
, 2011, no. 4,
pp. 21–31.
[11] Dimitrienko Yu.I., Kaskarov A.I
.
Finite-element method for calculation of effective
characteristic of three-dimensional reinforced composites.
Vestn. Mosk. Gos. Tekh.
Univ. im. N.E. Baumana, Estestv. Nauki
[Herald of the Bauman Moscow State Tech.
Univ., Nat. Sci.], 2002, no. 2, pp. 95–108 (in Russ.).
[12] Dimitrienko Yu.I., Gubareva E.A., Sborschikov S.V. Asymptotic theory of
constructive-orthotropic plates with two-periodic structures.
Mathematical Modeling
and Computational Methods
, 2014, no. 1, pp. 36–57 (in Russ.).
[13] Dimitrienko Yu.I., Gubareva E.A., Yakovlev D.O. Asysymptotic theory of viscoelasic
multilayer thin composite plates.
Nauka i obrazovanie
.
MGTU im. N.E. Baumana
[Science & Education of the Bauman MSTU. Electronic Journal], 2012, no. 12,
pp. 359–382. DOI: 10.7463/1014.0730105
[14] Dimitrienko Yu.I., Gubareva E.A., Yurin Yu.V. Asymptotic theory of thermocreep for
multilayer thin plates.
Mathematical Modeling and Computational Methods
, no. 4,
2014, pp. 36–57 (in Russ.). DOI: 10.7463/0113.0531682
[15] Dimitrienko Yu.I., Sokolov A.P., Markevich M.N. Modeling of dielectric properties
of composite materials on the basis of asymptotic averaging.
Nauka i obrazovanie
.
MGTU im. N.E. Baumana
[Science & Education of the Bauman MSTU. Electronic
Journal], 2013, no. 1, pp. 49–64. DOI: 10.7463/0113.0531682
ISSN 1812-3368. Вестник МГТУ им. Н.Э. Баумана. Сер. “Естественные науки”. 2016. № 1
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