TY - JOUR

T1 - Computation of effective resistivity in materials with microinclusions by a heterogeneous multiscale finite element method

AU - Epov, M. I.

AU - Shurina, E. P.

AU - Kutischeva, A. Yu

PY - 2017/10/1

Y1 - 2017/10/1

N2 - 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.

AB - 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.

KW - effective resistivity

KW - heterogeneous media

KW - heterogeneous multiscale finite element method

UR - http://www.scopus.com/inward/record.url?scp=85037733985&partnerID=8YFLogxK

U2 - 10.1134/S1029959917040051

DO - 10.1134/S1029959917040051

M3 - Article

AN - SCOPUS:85037733985

VL - 20

SP - 407

EP - 416

JO - Physical Mesomechanics

JF - Physical Mesomechanics

SN - 1029-9599

IS - 4

ER -