Determining the effective conductivity of heterogeneous media is a central problem in different fields of physics. The medium considered here contains cylinders (inclusions) of random conductivities that are distributed at random in an embedding matrix. For random systems, widely encountered in applications, we derive an approximative analytical solution that applies to significantly denser configurations than Maxwell first-order approximations. The analytic solution is tested against accurate numerical simulations. The widely used effective medium approach is shown to be exact for symmetric conductivity distributions and quite accurate for asymmetrical cases
We investigate the effective conductivity (σe) of a class of amorphous media defined by the level cu...
The bounds on the effective conductivities of heterogeneous media containing discretely suspended pa...
The literature concerning the effective modelling of heterogeneous materials contains several mixing...
Determining the effective conductivity of heterogeneous media is a central problem in different fiel...
A scheme is proposed for predicting the effective conductivities of heterogeneous media containing e...
The effective conductivity Kef of porous formations of spatially variable permeability K is determin...
A scheme is proposed for predicting the effective conductivities of heterogeneous media containing e...
The study aims at deriving the effective conductivity K-ef of a three-dimensional heterogeneous medi...
"\"The paper deals with the effective conductivity tensor K(ef) of anisotropic random media subject ...
We propose a new concept of the effective properties of composites with uncertain spatial arrangemen...
A general method of placing variational bounds on the effective scalar conductivity of random hetero...
The purpose of the present article is to review recent advances made in the determination and calcul...
We deal with the effective conductivity m = m(z) of two phase, ordered or disordered mixtures consis...
International audienceThis paper concerns the determination of the effective thermal conductivity of...
in heterogeneous or composite physical systems. The first studies, from a general point of view, wer...
We investigate the effective conductivity (σe) of a class of amorphous media defined by the level cu...
The bounds on the effective conductivities of heterogeneous media containing discretely suspended pa...
The literature concerning the effective modelling of heterogeneous materials contains several mixing...
Determining the effective conductivity of heterogeneous media is a central problem in different fiel...
A scheme is proposed for predicting the effective conductivities of heterogeneous media containing e...
The effective conductivity Kef of porous formations of spatially variable permeability K is determin...
A scheme is proposed for predicting the effective conductivities of heterogeneous media containing e...
The study aims at deriving the effective conductivity K-ef of a three-dimensional heterogeneous medi...
"\"The paper deals with the effective conductivity tensor K(ef) of anisotropic random media subject ...
We propose a new concept of the effective properties of composites with uncertain spatial arrangemen...
A general method of placing variational bounds on the effective scalar conductivity of random hetero...
The purpose of the present article is to review recent advances made in the determination and calcul...
We deal with the effective conductivity m = m(z) of two phase, ordered or disordered mixtures consis...
International audienceThis paper concerns the determination of the effective thermal conductivity of...
in heterogeneous or composite physical systems. The first studies, from a general point of view, wer...
We investigate the effective conductivity (σe) of a class of amorphous media defined by the level cu...
The bounds on the effective conductivities of heterogeneous media containing discretely suspended pa...
The literature concerning the effective modelling of heterogeneous materials contains several mixing...