Please wait a minute...
Chinese Physics, 2005, Vol. 14(9): 1862-1865    DOI: 10.1088/1009-1963/14/9/031
CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES Prev   Next  

Dependence of stresses on grain orientations in BCC polycrystalline films on substrates

Zhang Jian-Min (张建民)a, Zhang Yan (张研)a, Xu Ke-Wei (徐可为)b
a College of Physics and Information Technology, Shaanxi Normal University, Xian 710062, China; b State Key Laboratory for Mechanical Behavior of Materials,Xian Jiaotong University, Xian 710049, China
Abstract  Most thin films have different thermal expansion coefficients from their substrates, thus thermal stresses will be introduced into the films when the temperature is changed during annealing and service. Calculations of these stresses for grains in various crystallographic orientations have been made for seven BCC transition metals Cr, Fe, Mo, Nb, Ta, V and W. Neglecting W, which is isotropic and the stresses are equiaxial and without grain orientation (hkl) dependence, the BCC metals may be grouped into two classes. In the first class (Cr, Mo, Nb and V), the (100)-oriented grains have the largest stresses, while the stresses $\sigma _1$  and $\sigma _2$  in other (hkl)-oriented grains decrease linearly with the increase of the angle between (hkl) and (100), and with $\sigma _1 < \sigma _2$  except in (100)- and (111)-oriented grains. In the second class (Fe and Ta), on the contrary, the (100)-oriented grains have the lowest stresses, and the stresses $\sigma _1$  and $\sigma _2$  in other (hkl)-oriented grains increase linearly with the increase of the angle between (hkl) and (100), and with $\sigma _1 > \sigma _2$  except in (100)- and (111)-oriented grains.
Keywords:  BCC metals      stresses      grain orientations      calculation  
Received:  03 December 2004      Revised:  25 May 2005      Accepted manuscript online: 
PACS:  68.60.Bs (Mechanical and acoustical properties)  
  62.20.D- (Elasticity)  
  81.40.Jj (Elasticity and anelasticity, stress-strain relations)  
  68.55.-a (Thin film structure and morphology)  
Fund: Project supported by the State Key Development Programme for Basic Research of China (Grant No 2004CB619302), and the National Natural Science Foundation of China (Grant No 50271038).

Cite this article: 

Zhang Jian-Min (张建民), Zhang Yan (张研), Xu Ke-Wei (徐可为) Dependence of stresses on grain orientations in BCC polycrystalline films on substrates 2005 Chinese Physics 14 1862

[1] Effects of phonon bandgap on phonon-phonon scattering in ultrahigh thermal conductivity θ-phase TaN
Chao Wu(吴超), Chenhan Liu(刘晨晗). Chin. Phys. B, 2023, 32(4): 046502.
[2] First-principles study of the bandgap renormalization and optical property of β-LiGaO2
Dangqi Fang(方党旗). Chin. Phys. B, 2023, 32(4): 047101.
[3] Prediction of one-dimensional CrN nanostructure as a promising ferromagnetic half-metal
Wenyu Xiang(相文雨), Yaping Wang(王亚萍), Weixiao Ji(纪维霄), Wenjie Hou(侯文杰),Shengshi Li(李胜世), and Peiji Wang(王培吉). Chin. Phys. B, 2023, 32(3): 037103.
[4] High-temperature ferromagnetism and strong π-conjugation feature in two-dimensional manganese tetranitride
Ming Yan(闫明), Zhi-Yuan Xie(谢志远), and Miao Gao(高淼). Chin. Phys. B, 2023, 32(3): 037104.
[5] Rational design of Fe/Co-based diatomic catalysts for Li-S batteries by first-principles calculations
Xiaoya Zhang(张晓雅), Yingjie Cheng(程莹洁), Chunyu Zhao(赵春宇), Jingwan Gao(高敬莞), Dongxiao Kan(阚东晓), Yizhan Wang(王义展), Duo Qi(齐舵), and Yingjin Wei(魏英进). Chin. Phys. B, 2023, 32(3): 036803.
[6] Single-layer intrinsic 2H-phase LuX2 (X = Cl, Br, I) with large valley polarization and anomalous valley Hall effect
Chun-Sheng Hu(胡春生), Yun-Jing Wu(仵允京), Yuan-Shuo Liu(刘元硕), Shuai Fu(傅帅),Xiao-Ning Cui(崔晓宁), Yi-Hao Wang(王易昊), and Chang-Wen Zhang(张昌文). Chin. Phys. B, 2023, 32(3): 037306.
[7] Li2NiSe2: A new-type intrinsic two-dimensional ferromagnetic semiconductor above 200 K
Li-Man Xiao(肖丽蔓), Huan-Cheng Yang(杨焕成), and Zhong-Yi Lu(卢仲毅). Chin. Phys. B, 2023, 32(3): 037501.
[8] First-principles prediction of quantum anomalous Hall effect in two-dimensional Co2Te lattice
Yuan-Shuo Liu(刘元硕), Hao Sun(孙浩), Chun-Sheng Hu(胡春生), Yun-Jing Wu(仵允京), and Chang-Wen Zhang(张昌文). Chin. Phys. B, 2023, 32(2): 027101.
[9] Pressure-induced stable structures and physical properties of Sr-Ge system
Shuai Han(韩帅), Shuai Duan(段帅), Yun-Xian Liu(刘云仙), Chao Wang(王超), Xin Chen(陈欣), Hai-Rui Sun(孙海瑞), and Xiao-Bing Liu(刘晓兵). Chin. Phys. B, 2023, 32(1): 016101.
[10] Computational studies on magnetism and ferroelectricity
Ke Xu(徐可), Junsheng Feng(冯俊生), and Hongjun Xiang(向红军). Chin. Phys. B, 2022, 31(9): 097505.
[11] Effect of conical intersection of benzene on non-adiabatic dynamics
Duo-Duo Li(李多多) and Song Zhang(张嵩). Chin. Phys. B, 2022, 31(8): 083103.
[12] Machine learning potential aided structure search for low-lying candidates of Au clusters
Tonghe Ying(应通和), Jianbao Zhu(朱健保), and Wenguang Zhu(朱文光). Chin. Phys. B, 2022, 31(7): 078402.
[13] Bandgap evolution of Mg3N2 under pressure: Experimental and theoretical studies
Gang Wu(吴刚), Lu Wang(王璐), Kuo Bao(包括), Xianli Li(李贤丽), Sheng Wang(王升), and Chunhong Xu(徐春红). Chin. Phys. B, 2022, 31(6): 066205.
[14] First-principles calculations of the hole-induced depassivation of SiO2/Si interface defects
Zhuo-Cheng Hong(洪卓呈), Pei Yao(姚佩), Yang Liu(刘杨), and Xu Zuo(左旭). Chin. Phys. B, 2022, 31(5): 057101.
[15] Evaluation of performance of machine learning methods in mining structure—property data of halide perovskite materials
Ruoting Zhao(赵若廷), Bangyu Xing(邢邦昱), Huimin Mu(穆慧敏), Yuhao Fu(付钰豪), and Lijun Zhang(张立军). Chin. Phys. B, 2022, 31(5): 056302.
No Suggested Reading articles found!