马氏体相变晶体学的简易矢量分析方法

A SIMPLE VECTOR ANALYSIS METHOD FOR MARTENSITE CRYSTALLOGRAPHY

基于界面错配可以通过一组缺陷松弛的假设,发展了一种简易矢量分析法来计算界面包含一组缺陷的系统的相变晶体学.通过该方法可以方便地求解惯习面的取向.本文运用该方法求解了fcc/bcc系统中经典马氏体表象理论对应的相变晶体学,所有计算结果与文献报道完全一致.并根据矢量分析方法求解了满足上述假设条件惯习面取向的一般表达式.这一结果对系统地研究fcc/bcc中无理取向的惯习面提供了简便的分析工具.

The displacements of vectors in a habit plane （HP） are assumed to lie along a particu- lar Burgers vector, so that the misfit in the interface can be fully accommodated by a set of dislocations with that Burgers vector. This assumption is consistent with many models and experimental observations. Based on this assumption, a simple method based on vector analysis has been developed. By applying this method to fcc/bcc system, the classical solutions from the phenomenal theory of martensite crystallography can be reproduced. In addition, a simple form of equation for general HP orientations satisfying the above assumption has also been derived. The present method provides a simple but general tool for analysis of irrational HP generated from either martensitic or diffusional transformations.