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 …

A survey of recent contributions on three-dimensional grain-scale mechanical modelling of
polycrystalline materials is given in this work. The analysis of material micro-structures …

The effective material response of ductile metals containing spherical pores at volume
fractions between 0.1% and 30% is investigated on a computational basis. Periodic hard …

We investigate volume-element sampling strategies for the stochastic homogenization of
particle-reinforced composites and show, via computational experiments, that an improper …

The purpose of this work is comparing three strategies for dealing with inhomogeneities of
non-elliptical shape in the context of homogenization methods. First, classical mean-field …

This paper proposes a peridynamics-based statistical multiscale (PSM) framework to
simulate the macroscopic structure fracture with high efficiency. The heterogeneities of …

The dependency of the elastic stiffness, ie, Young's modulus, of isotropic closed-cell foams
on the cell size variation is studied by microstructural simulation. For this purpose, we use …

The main objective is to investigate an effect of anisotropic distribution of the reinforcing
particles in a cubic representative volume element (RVE) of the carbon–polymer composite …

In this paper, we address the construction of a prior stochastic model for non-Gaussian
deterministically-bounded positive-definite matrix-valued random fields in the context of …