面心和体心立方晶体中映像规则判断始滑移系的原理  

Mechanism of Mirror Image Method in Determinating Initial Glide Systems of Face-Centered and Body-Centered Cubic Crystals

作　　者：杨晓冬 杨静 YANG Xiaodong;YANG Jing(College of Materials Science and Engineering,Huaqiao University,Xiamen 361021,China;College of Chemistry and Chemical Engineering,Xiamen University,Xiamen 361005,China)

机构地区：[1]华侨大学材料科学与工程学院,福建厦门361021 [2]厦门大学化学化工学院,福建厦门361005

出　　处：《华侨大学学报（自然科学版）》2020年第4期478-483,共6页Journal of Huaqiao University(Natural Science)

基　　金：国家自然科学基金资助项目(21703184);华侨大学中青年教师科研提升资助计划(ZQN-PY506);华侨大学科研基金资助项目(17BS405);西安交通大学金属材料强度国家重点实验室开放研究项目(20192101)。

摘　　要：提出一种易于理解且严谨的论述,从原理上解释面心和体心立方晶体中快速判断始滑移系的映像规则.首先,将Schmid因子转化成关于夹角φ+λ和φ-λ的余弦函数.该余弦函数在标准投影图上可描述为“力轴靠近滑移系平面”的程度和“夹角φ和λ接近”的程度,以此为判据可快速地比较Schmid因子的相对大小.然后,以数学运算证明映像规则的科学性.An easy to grasp as well as rigorous discussion is presented to describe the mechanism of the method of mirror image,which is applied to determine the initial glide systems of face-centered and body-centered cubic crystal.Firstly,Schmid factors is transformed into formula of the cosine function of angleφ+λandφ-λ.This function can be on standard stereographic projection:the closeness of stress to glide-system plane,and the closeness of angleφandλ.Based on this criterion,the comparison of Schmid factors is easily made.Furthermore,a mathematical demonstration is presented to prove the mirror image method.

关 键 词：映像规则 Diehl规则 滑移系 Schmid定律 立方晶体 

分 类 号：TG111.7[金属学及工艺—物理冶金]