The Effective Conductivity of a Regular Composite Medium

The advantages of a Green's function method are exemplifiedby the analysis of steady potential flow through a homogeneousmedium containing a regular array of subdomains where a differentvalue of the conductivity prevails. It is shown, in particular,that the results previously obtained by Rayleigh for the squarearray of cylindrical obstacles with infinite conductivity arerecovered in a more efficient manner; and that the method issuitable for handling either widely dispersed or closely packedarrays.