# Controlling spatial inhomogeneity in prototypical multiphase microstructures

## TL;DR

This paper introduces a versatile model for creating multiphase microstructures with controllable spatial inhomogeneity, aiding the study of structure-property relations in composite materials.

## Contribution

It proposes a new model using overlapping super-spheres and a decomposable entropic measure to control and predict phase inhomogeneity in microstructures.

## Key findings

- Phase inhomogeneity depends on parameter p.
- The model allows forecasting of inhomogeneity trends.
- Application to real material reconstruction is demonstrated.

## Abstract

A wide variety of real random composites can be studied by means of prototypes of multiphase microstructures with a controllable spatial inhomogeneity. To create them, we propose a versatile model of randomly overlapping super-spheres of a given radius and deformed in their shape by the parameter p. With the help of the so-called decomposable entropic measure, a clear dependence of the phase inhomogeneity degree on the values of the parameter p is found. Thus, a leading trend in changes of the phase inhomogeneity can be forecast. It makes searching for possible structure/property relations easier. For the chosen values of p, examples of two and three-phase prototypical microstructures show how the phase inhomogeneity degree evolves at different length scales. The approach can also be applied to preparing the optimal starting configurations in reconstructing real materials.

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Source: https://tomesphere.com/paper/1706.06880