二相介质中一种位错构型的弹性场及所受的力

THE ELASTIC PROPERTIES OF A DISLOCATION IN TWO PHASE MEDIUM

本文建立了二相介质中与相界斜交位错的一种理想构型。根据位错各向异性弹性理论的普遍方法,以及关于界面的Gebbia-Eshelby定理,计算得到此位错在两相中的弹性场,以及位错线段所受“像力”的数值解。本文所提出的模型及算法具有一般适用性。结果可用于进一步计算此位错与其它缺陷的相互作用。对于考虑这种斜交位错在无扩散相变中的作用,本工作也是一个有意义的起点。

We propose an ideal configuration of a dislocation obliquely intersecting the phase boundary in a two phase medium. By employing the general integral method of anisotropic elas-tic theory of dislocations and the Gibbia-Eshelby theorem for boundaries, we obtain the numerical solutions for elastic field of this dislocation as well as the 'image' force acting on it. Our model and computing method are shown to be applicable in general. The results can be used to further calculate the interaction between this dialocation and other defects. This work is also a meaningful starting point for considering the effect of such oblique dislocations in diffusionless phase transformations.