| 面心和体心立方晶体中映像规则判断始滑移系的原理 |
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| 引用本文： | 杨晓冬,杨静.面心和体心立方晶体中映像规则判断始滑移系的原理[J].华侨大学学报(自然科学版),2020,41(4):478-483. |
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| 作者姓名： | 杨晓冬 杨静 |
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| 作者单位： | 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 |
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| 基金项目： | 国家自然科学基金;华侨大学中青年教师科研提升项目;华侨大学科研项目;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 |
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| 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.
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| 关 键 词： | 映像规则 Diehl规则 滑移系 Schmid定律 立方晶体 |
Mechanism of Mirror Image Method in Determinating Initial Glide Systems of Face-Centered and Body-Centered Cubic Crystals |
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| YANG Xiaodong,YANG Jing.Mechanism of Mirror Image Method in Determinating Initial Glide Systems of Face-Centered and Body-Centered Cubic Crystals[J].Journal of Huaqiao University(Natural Science),2020,41(4):478-483. |
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| Authors: | YANG Xiaodong YANG Jing |
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| Institution: | 1. College of Materials Science and Engineering, Huaqiao University, Xiamen 361021, China; 2. College of Chemistry and Chemical Engineering, Xiamen University, Xiamen 361005, China |
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| Abstract: | 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 angle φ+λ and φ-λ. This function can be on standard stereographic projection: the closeness of stress to glide-system plane, and the closeness of angle φ and λ. Based on this criterion, the comparison of Schmid factors is easily made. Furthermore, a mathematical demonstration is presented to prove the mirror image method. |
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| Keywords: | mirror image method Diehl’s rule glide system Schmid law cubic crystal |
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