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Dependence of stresses on grain orientations in BCC polycrystalline films on substrates
作者姓名:张建民  张研  徐可为
作者单位:College of Physics and Information Technology, Shaanxi Normal University, Xian 710062, China;College of Physics and Information Technology, Shaanxi Normal University, Xian 710062, China;State Key Laboratory for Mechanical Behavior of Materials,Xian Jiaotong University,Xian 710049,China
基金项目: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).
摘    要: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 σ1 and σ2 in other (hkl)-oriented grains decrease linearly with the increase of the angle between (hkl) and (100), and with σ1 〈 σ2 except in (100)- and (lll)-oriented grains. In the second class (Fe and Ta), on the contrary, the (100)-oriented grains have the lowest stresses, and the stresses σ1 and σ2 in other (hkl)-oriented grains increase linearly with the increase of the angle between (hkl) and (100), and with σ1 〉 σ2 except in (100)- and (111)-oriented grains.

关 键 词:BCC  金属材料  压力作用  多晶薄膜  热膨胀系数
文章编号:1009-1963/2005/14(09)/1862-04
收稿时间:2004-12-03
修稿时间:2004-12-032005-05-25

Dependence of stresses on grain orientations in BCC polycrystalline films on substrates
Zhang Jian-Min,Zhang Yan and Xu Ke-Wei.Dependence of stresses on grain orientations in BCC polycrystalline films on substrates[J].Chinese Physics B,2005,14(9):1862-1865.
Authors:Zhang Jian-Min  Zhang Yan and Xu Ke-Wei
Institution:College of Physics and Information Technology, Shaanxi Normal University, Xian 710062, China; 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
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