EFFECTIVE CONDUCTIVITY IN A TWO-PHASE MATERIAL WITH GENERALIZED CHEQUER-BOARD GEOMETRY

摘要

In this paper an exact analytical solution of effective conductivity in a two-phase material with the generalized chequer-board geometry is obtained.They are In(σe/σ2)=In(R+s2/R+1),Where R=s(1+s2)[2+ε(ηs2-1)]+s2(s2-1)T(ε,η)/s(1+s)2ε(1-η)-(s-1)T(ε,η)And T(ε,η)=ΣH(n)sinh[√λna(1-η)tan([√λnbε)/h sinh([√λna)tan([√λnb)Some calculated results for a=b,n=l and s=50,7.14 are also shown.