TY - JOUR

T1 - On the effective conductivity of composites with ellipsoidal inhomogeneities and highly conducting interfaces

AU - Miloh, T.

AU - Benveniste, Y.

PY - 1999

Y1 - 1999

N2 - The effective conductivity of composite media with ellipsoidal inhomogeneities and highly conducting interfaces is studied. At such interfaces the temperature field is continuous,: but the normal component of the heat flux undergoes a discontinuity which is proportional to the local surface Laplacian of the temperature field. The dilute approximation for the case of ellipsoidal inhomogeneities in such circumstances is derived. The derivation involves the solution of an auxiliary problem of a single particle embedded in an infinite medium and employs ellipsoidal harmonics. This solution is also used to derive a mean-field approximation for non-dilute concentrations.

AB - The effective conductivity of composite media with ellipsoidal inhomogeneities and highly conducting interfaces is studied. At such interfaces the temperature field is continuous,: but the normal component of the heat flux undergoes a discontinuity which is proportional to the local surface Laplacian of the temperature field. The dilute approximation for the case of ellipsoidal inhomogeneities in such circumstances is derived. The derivation involves the solution of an auxiliary problem of a single particle embedded in an infinite medium and employs ellipsoidal harmonics. This solution is also used to derive a mean-field approximation for non-dilute concentrations.

KW - Composite media

KW - Ellipsoidal inhomogeneities

KW - Highly conducting interface

KW - Imperfect interfaces

KW - Surface laplacian

UR - http://www.scopus.com/inward/record.url?scp=33746438429&partnerID=8YFLogxK

U2 - 10.1098/rspa.1999.0422

DO - 10.1098/rspa.1999.0422

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AN - SCOPUS:33746438429

SN - 0080-4630

VL - 455

SP - 2687

EP - 2706

JO - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

IS - 1987

ER -