Three calculation methods for the determination of effective constants
of composite media are studied in detail. An approximate method for t
he definite integral presented here makes the transformation field met
hod capable of computing the effective conductivity of composite media
with overlapping inclusions. The collocation method is used to calcul
ate the effective thermal conductivity of composite media, which illum
inates the validity ot the collocation method for composite media with
potential discontinuity at phase interfaces.