[1]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.[doi:10.11830/ISSN.1000-5013.202001008]
 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.[doi:10.11830/ISSN.1000-5013.202001008]
点击复制

面心和体心立方晶体中映像规则判断始滑移系的原理()
分享到:

《华侨大学学报(自然科学版)》[ISSN:1000-5013/CN:35-1079/N]

卷:
第41卷
期数:
2020年第4期
页码:
478-483
栏目:
出版日期:
2020-07-20

文章信息/Info

Title:
Mechanism of Mirror Image Method in Determinating Initial Glide Systems of Face-Centered and Body-Centered Cubic Crystals
文章编号:
1000-5013(2020)04-0478-06
作者:
杨晓冬1 杨静2
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
Author(s):
YANG Xiaodong1 YANG Jing2
1. College of Materials Science and Engineering, Huaqiao University, Xiamen 361021, China; 2. College of Chemistry and Chemical Engineering, Xiamen University, Xiamen 361005, China
关键词:
映像规则 Diehl规则 滑移系 Schmid定律 立方晶体
Keywords:
mirror image method Diehl’s rule glide system Schmid law cubic crystal
分类号:
TG111.7
DOI:
10.11830/ISSN.1000-5013.202001008
文献标志码:
A
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.
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.

参考文献/References:

[1] SCHMID E.Neuere untersuchungen an metallkristallen[C]//Proceedings of the International Congress on Applied Mechanics.Delft:Technische Boekhandel en Drukkerij J Waltman Jr,1925:342-353.
[2] SCHMID E,BOAS W.Kristallplastizit?t mit besonderer berücksichtigung der metalle[M].Berlin:Springer,1935.
[3] 潘金生,仝健民,田民波.材科科学基础(修订版)[M].北京:清华大学出版社,2011.
[4] 余永宁.材料科学基础[M].2版.北京:高等教育出版社,2012.
[5] 陶杰,姚正军,薛烽.材料科学基础[M].北京:化学工业出版社,2006.
[6] 胡赓祥,蔡珣,戎咏华.材料科学基础[M].2版.上海:上海交通大学出版社,2006.
[7] 范群成,田民波.材料科学基础学习辅导[M].北京:机械工业出版社,2016.
[8] SEEGER A.Crystal plasticity theory during the 1950s and 1960s[J].Philosophical Magazine,2013,93(28/29/30):3772-3794.DOI:10.1080/14786435.2013.822998.
[9] DIEHL J,KRAUSE M,OFFENHAUSR W,et al.Graphische darstellungen der schubspannungsverhaeltnisse in kubisch flaechenzentrierten kristallen[J].Zeitschrift Fur Metallkunde,1954,45(8):489-492.
[10] KELLY A,KNOWLES K M.Crystallography and crystal defects[M].2nd ed.West Sussex:John Wiley & Sons Ltd,2012.
[11] HUTCHINGS I M.Quick non-graphical method for deducing slip systems in cubic close packed metals in tension or compression[J].Materials Science and Technology,1993,9(10):929-932.DOI:10.1179/mst.1993.9.10.929.
[12] 范群成,康嘉晨.镜面映像法确定FCC和BCC晶体始滑移系的原理及技巧[J].材料科学,2018,8(5):503-508.DOI:10.12677/MS.2018.85057.
[13] WATANABE R.Possible slip systems in body centered cubic iron[J].Material Transactions,2006,47(8):1886-1889.DOI:10.2320/matertrans.47.1886.
[14] YALCINKAYA T,BREKELMANS W A M,GEERS M G D.BCC single crystal plasticity modeling and its experimental identification[J].Modelling and Simulation in Materials Science and Engineering,2008,16(8):085007.DOI: 10.1088/0965-0393/16/8/085007.
[15] 石德珂.材料科学基础[M].2版.北京:机械工业出版社,2003.
[16] WHITTAKER E J W.The stereographic projection[M].Cardiff:University College Cardiff Press,1984.

备注/Memo

备注/Memo:
收稿日期: 2020-01-07
通信作者: 杨晓冬(1985-),男,讲师,博士,主要从事电催化及燃料电池的研究.E-mail:xdyang@hqu.edu.cn.
基金项目: 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(2019 2101)
更新日期/Last Update: 2020-07-20