The Maxwell modified method of determination of effective constants of heterogeneous materials

1Kushch, VI, 1Maystrenko, AL, 1Chernobai, VS
1V.N. Bakul Institute for Superhard Materials of the NAS of Ukraine, Kyiv
Dopov. Nac. akad. nauk Ukr. 2017, 2:35-41
https://doi.org/10.15407/dopovidi2017.02.035
Section: Materials Science
Language: Ukrainian
Abstract: 

The Maxwell modified method of determination of effective constants is formulated in terms of the dipole moments of a real piece of a composite and the equivalent inclusion. The method is rigorous in the sense that the evaluation of an effective constant converges to the exact value with increasing the cluster size. For example, the problem of determining the thermal conductivity of a fiber composite shows that the method provides the calculation of effective constants with high accuracy for composites with periodic or disordered micro structure.

Keywords: composite, dipole moment, effective constants, Maxwell method
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