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Bauman Moscow State Technical University.   El № FS 77 - 48211.   ISSN 1994-0408

Mathematical simulation of dielectric properties of polymer-ceramic composite materials, using the asymptotical averaging method

# 10, October 2013
DOI: 10.7463/1013.0623343
Article file: Markevich_P.pdf (309.96Kb)
authors: Yu.I. Dimitrienko, A.P. Sokolov, M.N. Markevich

References

1. Bakhvalov N.S., Panasenko G.P. Osrednenie protsessov v periodicheskikh sredakh. Matematicheskie zadachi mekhaniki kompozitsionnykh materialov [Averaging processes in periodic media. Mathematical problems of mechanics of composite materials]. Moscow, Nauka, 1984. 352 p.

2. Gefle O.S., Lebedev S.M., Pokholkov Yu.P. Chastotnye spektry kompleksnoy dielektricheskoy pronitsaemosti kompozitsionnykh dielektrikov na osnove [Complex permittivity frequency spectra of composite dielectrics on the basis of polyvinylchloride]. Izvestiya Tomskogo politekhnicheskogo universiteta [Bulletin of the Tomsk Polytechnic University], 2007, vol. 310, no. 1, pp. 87-91.

3. Gefle O.S., Lebedev S.M., Tkachenko S.N. Povedenie polimernykh kompozitsionnykh materialov s napolnitelem iz segnetoelektricheskoy keramiki v elektricheskom pole [Behaviour of polymeric composite materials filled with ferroelectric ceramics in electric field]. Izvestiya Tomskogo politekhnicheskogo universiteta [Bulletin of the Tomsk Polytechnic University], 2005, vol. 308, no. 4, pp. 64-68.

4. Dimitrienko Iu.I. Kashkarov A.I. Raschet effektivnykh kharakteristik kompozitov s periodicheskoi strukturoi metodom konechnykh elementov [The calculation of the effective characteristics of composite materials with periodic structure by finite element method]. Vestnik MGTU im. N.E.Baumana. Estestvennye nauki [Bulletin of the Bauman MSTU. Ser. Natural science], 2002, no. 2, pp. 95-108.

5. Dimitrienko Yu.I., Sokolov A.P. Mnogomasshtabnoe modelirovanie uprugikh kompozitsionnykh materialov [Multiscale modeling of elastic composite materials]. Matematicheskoe modelirovanie, 2012, vol. 24, no. 5, pp. 3-20.

6. Dimitrienko Iu.I., Sokolov A.P. Razrabotka sistemy avtomatizirovannogo vychisleniia effektivnykh uprugikh kharakteristik kompozitov [Development of automated technology of calculation of effective elastic characteristics of composites by method of asymptotic averaging]. Vestnik MGTU im. N.E. Baumana. Ser. Estestvennye nauki [Bulletin of the Bauman MSTU. Ser. Natural science], 2008, no. 2, pp. 56-67.

7. Dimitrienko Yu.I., Sokolov A.P. Sistema avtomatizirovannogo prognozirovaniya svoystv kompozitsionnykh materialov [Automated forecasting of composite material properties by means of homogenization method]. Informatsionnye tekhnologii, 2008, no. 8, pp. 31-38. 

8.  Dimitrienko Yu.I., Sokolov A.P., Markevich M.N. Modelirovanie dielektricheskikh kharakteristik kompozitsionnykh materialov na osnove metoda asimptoticheskogo osredneniya [Modeling of dielectric properties of composite materials on the basis of asymptotic averaging]. Nauka i obrazovanie MGTU im. N.E. Baumana [Science and Education of the Bauman MSTU], 2013, no. 1. DOI: 10.7463/0113.0531682

9. Emets Yu.P. Effektivnaya dielektricheskaya pronitsaemost' trekhkomponentnykh kompozitsionnykh materialov s anizotropnoy strukturoy [Effective permittivity of three-phase composite materials with an anisotropic structure]. Zhurnal tekhnicheskoy fiziki, 2005, vol. 75, no. 2, pp. 67-72. (English Translation: Technical Physics, 2005, vol. 50, iss. 2, pp. 207-212. DOI: 10.1134/1.1866436    ).

10.  Shelukhin V.V., Terent'ev S.A. Gomogenizatsiya uravneniy Maksvella i dispersiya Maksvella-Vagnera [Homogenization of Maxwell equations and the Maxwell-Wagner dispersion]. Doklady Akademii nauk, 2009, vol. 424, no. 3, pp. 402-406. (English Translation:

Doklady Earth Sciences, 2009, vol. 424, iss. 1, pp. 155-159.

DOI: 10.1134/S1028334X09010334     ).

11. Bensoussan A., Lions J.L., Papanicalaou G. Asymptotic analysis for periodic structures. Amsterdam; New York: North-Holland Pub. Co., 1978. 396 p.

12.  Kettunen H., Qi J., Wallen H., Sihvola A. Frequency dependence of effective permittivity of simple dielectric composites. Proceedings of ACES 2010, Tampere, Finland, 2010, pp. 248-253.

13. Sanchez-Palencia E. Book chapters. In: Sanchez-Palencia E., Zaoui A., eds. Homogenization techniques for composite media. Berlin, Heidelberg: Springer, 1987, pp. 121-192. DOI: 10.1007/3-540-17616-0     (Ser. Lecture notes in Physics; no. 272).

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