Wave model of forming of the martensite crystal in the heterogeneity medium

TL;DR

This paper presents a wave-based model for how heterogeneity in a medium influences the shape and profile of martensite crystals during formation, considering different types of heterogeneity effects.

Contribution

It introduces a wave model incorporating space-dependent attenuation to describe the influence of medium heterogeneity on martensite crystal profiles.

Findings

Heterogeneity affects crystal shape and profile.

Different heterogeneity types lead to various crystal morphologies.

The model predicts plate-like and wedge-like crystal shapes.

Abstract

In the current work considering the wave model of the crystal growth control, an influence of heterogeneity of the medium on the forming martensite crystal s profile was examined. The considering of the heterogeneity is provided with the help of putting into operations the space-depending effective attenuation of the waves. The description of the heterogeneity was fulfilled in three different ways: exponential, quadratic and inverse-quadratic. It was shown, that dependently of the heterogeneity of the medium various martensite crystal s profile can be implemented, considering the shape of its butts as well. In particular the plate-like and the wedge-like of the crystal shapes are feasible.