This work reviews state of the art representative volume element (RVE) generation
techniques for heterogeneous materials. To this end, we present a systematic classification …

▪ Abstract Polymers offer a wide spectrum of possibilities for materials applications, in part
because of the chemical complexity and variability of the constituent molecules, and in part …

Motivated by recent experimental investigations of the mechanical behavior of nanoporous
metal we explore an efficient and robust method for generating 3D representative volume …

Many systems exist in multiple phases, depending on the values of external parameters, for
example, temperature (T), pressure (P), and so on. In this context, consider a fluid (eg …

The Monte Carlo method is now widely used and commonly accepted as an important and
useful tool in solid state physics and related fields. It is broadly recognized that the technique …

A cell-dynamical-system (CDS) model of the microphase separation of block copolymers is
described in detail. The model suggests a partial-differential-equation (PDE) model that …

Nonequilibrium spatially distributed chemically reacting systems are usually described in
terms of reaction-diffusion equations. In this article, a hierarchy of discrete models is studied …

Using a cell-dynamical system (CDS) to model the separation of phases, we present the
results of large-scale simulations of spinodal decomposition in 3-space of a symmetric …

We address the problem of the departure of a crystal surface from a perfectly ordered crystal
plane. We discuss the energetics of the surface defects and their statistical mechanics which …

A full phase field model of eutectic growth is proposed, which incorporates the generic
features of a eutectic phase diagram and reduces to the sharp-interface model in the …