Computation of effective resistivity in materials with microinclusions by a heterogeneous multiscale finite element method

M. I. Epov, E. P. Shurina, A. Yu Kutischeva

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

In this paper, we propose a numerical method to obtain an effective electrical resistivity of heterogeneous media under the influence of a direct current. The heterogeneous multiscale finite element method is used to solve the direct problem of simulation of an electrostatic field. The computational experiments using the developed software complex showed that even the small inclusion concentrations define the effective resistivity of the media. In addition, the change in the localization, orientation, and geometrical shape of inclusions also leads to a significant change of the effective properties of the media.

Original languageEnglish
Pages (from-to)407-416
Number of pages10
JournalPhysical Mesomechanics
Volume20
Issue number4
DOIs
Publication statusPublished - 1 Oct 2017

Keywords

  • effective resistivity
  • heterogeneous media
  • heterogeneous multiscale finite element method

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