考虑晶界滑错的金属多晶体响应的自洽方法

SELF-CONSISTENT METHOD OF POLYCRYSTAL RESPONSE BY CONSIDERING THE SLIDING OF GBAIN BOUNDABY

本文首先建立含有三种介质(各向异性基体、各向异性夹杂、界面层)的平面应变夹杂模型。将基体和夹杂位移场展开为多项式级数,假设界面层很薄,运用变分原理得出这一问题的近似解。将上述夹杂问题的解和HILL自洽方法相结合,给出了考虑晶界滑错效应的金属多晶体弹塑性响应。

The model of plain strain inclusion firstly established, which includes three kinds of materials, namely, the anisotropic matrix, the anisotropic inclusion and the thin interface layer. Secondly, displacement fields both in the matrix and in the inclusion may be expressed in terms of polynomial se- ries. Then, if the interface layer is very thin, by using the variational method, the solution of the inclusion problem may be obtained. Lastly, by the use of the Hill's self-consistent method taking due consideration of the above solution, the influence of the grain boundary on the elastic-plastic deformation of polycrystal may be obtained.