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 - 1364-5021
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 -