Effective conductivities of heterogeneous media containing multiple inclusions with various spatial distributions

Effective conductivities of heterogeneous media containing multiple inclusions with various spatial distributions

A scheme is proposed for predicting the effective conductivities of heterogeneous media containing ellipsoidal inclusions of diverse shapes, spatial distributions, and orientations. This scheme yields explicit expressions for the effective conductivity tensor in terms of three microstructural parameters that characterize the shape, distribution, and orientation of the inclusions. By expanding t...

Effective thermal conductivities of heterogeneous media containing multiple imperfectly bonded inclusions

In a recent paper Duan et al., Phys. Rev. B 73, 174203 2006 , we derived explicit expressions for the effective conductivities of heterogeneous media containing perfectly bonded ellipsoidal inclusions of diverse shapes, spatial distributions, and orientations. In this paper, we take into account the effect of three types of imperfect bonding between the inclusions and the matrix by replacing th...

A computational study on the effective properties of heterogeneous random media containing particulate inclusions

The effective elastic modulus and conductivity of a two-phase material system are investigated computationally using a Monte Carlo scheme. The models contain circular, spherical or ellipsoidal inclusions that are either uniformly or randomly embedded in the matrix material. The computed results are compared with the applicable effective medium theories. It is found that the random distribution,...

Conductivities of heterogeneous media with graded anisotropic constituents

Multiple Scattering Approximation in Heterogeneous Media by Narrow Beam Distributions

Fast realistic rendering of objects in scattering media is still a challenging topic in computer graphics. In presence of participating media, a light beam is repeatedly scattered by media particles, changing direction and getting spread out. Explicitly evaluating this beam distribution would enable efficient simulation of multiple scattering events without involving costly stochastic methods. ...