▪ Abstract We review progress made in quantitatively ascertaining the various statistical
correlation functions that are fundamental to determining the material properties of specific …

We formulate a procedure to reconstruct the structure of general random heterogeneous
media from limited morphological information by extending the methodology of Rintoul and …

In the first part of this series of two papers, we proposed a theoretical formalism that enables
one to model and categorize heterogeneous materials (media) via two-point correlation …

We present an overview of some theoretical results that have been obtained to rigorously
bound the effective conductivity and effective elastic moduli of random heterogeneous …

Mass transport in polycrystals is usually enhanced by short-circuit diffusion along various
defect paths, eg, grain boundaries, dislocation cores, and triple junctions. In the “kinetic-A” …

A recently presented single plastic-potential, microstructure-based model of poly-crystal
plasticity by the authors considers a globally regularized Schmid law (RSL) as the slip flow …

In linear context, it is known that for n-phase 1D laminated structures, the effective magneto-
electro-elastic (MEE) stiffness and compliance moduli tensors are exactly obtained from …

This paper introduces a methodology for simulation of binary random fields according to
their prescribed autocorrelation function. It starts with a brief outline of the essential features …

This paper is concerned with the estimation of macroscopic properties such as the
permittivity or the thermal conductivity of a composite material from the microstructure. A new …

With the subsequent goal of estimating effective properties of general n-phase composites, a
recent (2016) paper from the author and a co-worker firstly addressed all “elementary” …