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The effective dielectric response of linear composites containing graded material is investigated under anapplied electric field E_0.For the cylindrical inclusion with gradient dielectric function,ει(r)=b+cr,randomly embeddedin a host with dielectric constant εm,we have obtained the exact solution of local electric potential of the compositemedia regions,which obeys a linear constitutive relation D=εE,using hypergeometric function.In dilute limit,wehave derived the effective dielectric response of the linear composite media.Furthermore,for larger volume fraction,theformulas of effective dielectric response of the graded composite media are given.
The effective dielectric response of linear composites containing graded material is investigated under an applied electric field E_0. For the cylindrical inclusion with gradient dielectric function, ει (r) = b + cr, randomly embedded in a host with dielectric constant εm, we have obtained the exact solution of local electric potential of the compositemedia regions, which obeys a linear constitutive relation D = εE, using hypergeometric function.In dilute limit, wehave derived the effective dielectric response of the linear composite media.Furthermore, for larger volume fraction, theformulas of effective dielectric response of the graded composite media are given.