TY - JOUR

T1 - Homogenization of composite electrets

AU - Amirat, Youcef

AU - Shelukhin, Vladimir V.

PY - 2017/4/1

Y1 - 2017/4/1

N2 - We study the two-scale homogenization of the diffraction interfacial condition for the diffusion equation relevant to a composite medium which has a periodic structure. The results are applied to the electric field potential within a dielectric composite body when there is a difference in dielectric permittivity between the composite components in the presence of interfacial static charges. The principal result is that the interfacial charge distribution is equivalent to an apparent bulk charge which can be calculated starting from the composite geometry. We perform the corrector analysis and establish that the corrector terms strongly depend on the interfacial charge.

AB - We study the two-scale homogenization of the diffraction interfacial condition for the diffusion equation relevant to a composite medium which has a periodic structure. The results are applied to the electric field potential within a dielectric composite body when there is a difference in dielectric permittivity between the composite components in the presence of interfacial static charges. The principal result is that the interfacial charge distribution is equivalent to an apparent bulk charge which can be calculated starting from the composite geometry. We perform the corrector analysis and establish that the corrector terms strongly depend on the interfacial charge.

KW - Electret composite

KW - interfacial and bulk charges

KW - two-scale convergence

KW - correctors

KW - POROUS-MEDIA

UR - http://www.scopus.com/inward/record.url?scp=84976563739&partnerID=8YFLogxK

U2 - 10.1017/S0956792516000255

DO - 10.1017/S0956792516000255

M3 - Article

VL - 28

SP - 261

EP - 283

JO - European Journal of Applied Mathematics

JF - European Journal of Applied Mathematics

SN - 0956-7925

IS - 2

ER -