Practically all elastic single crystals are anisotropic, which calls for an appropriate universal
measure to quantify the extent of anisotropy. A review of the existing anisotropy measures in …

The problem of effective properties of material microstructures has received considerable
attention over the past half a century. By effective (or overall, macroscopic, global) is meant …

Abstract The MAX phase, Nb 4 AlC 3, has been identified as a potential candidate for high-
temperature structural materials, but its inherent limitations, including poor oxidation …

This article is focused on the identification of the size of the representative volume element
(RVE) in linear elastic randomly structured polycrystals made up of cubic single crystals. The …

Abstract The (Ni, Cu) 3 Sn 4 phase as intermetallic compounds (IMCs) plays an important
role in evaluating reliability of solder joints. The first-principles calculations were performed …

Many areas of continuum physics pose a challenge to physicists. What are the most general,
admissible statistically homogeneous and isotropic tensor-valued random fields (TRFs) …

We propose a methodology to set up unifying scaling laws describing the response of
multifarious random polycrystals. The methodology employed falls in the realm of stochastic …

Under investigation is the finite-size scaling of the Fourier thermal conductivity in two-phase
planar random checkerboard microstructures at 50% nominal volume fraction. Examples …

Despite advances in contemporary micromechanics, there is a void in the literature on a
versatile method for estimating the effective properties of polycrystals comprising of highly …

Scale dependence of electrostatic and magnetostatic properties is investigated in the setting
of spatially random linear lossless materials with statistically homogeneous and spatially …