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简单立方晶体中混合位错分析方法
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张东波;李铁萍
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科技导报 |研究论文 2012 , 30 (12) : 54 -56
简单立方晶体中混合位错分析方法
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张东波;李铁萍
作者信息
An Analytical Method for Mixed Dislocation in a Simple Cubic Crystal
ZHANG Dongbo;LI Tieping
Affiliations
    1. China Light Gas-turbine Development Center, Beijing 100028, China;2. Nuclear and Radiation Safety Center, Ministry of Environmental Protection, Beijing 100082, China
出版时间: 2012-04-28 doi: 10.3981/j.issn.1000-7857.2012.12.008
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表征晶体中位错的Peierls-Nabarro(PN)模型的控制方程十分复杂,求解往往直接给出解答,而没有给出求解过程,这为PN模型的应用带来了困难。针对Peierls-Nabarro模型的这一局限性,提出一种新的方法分析简单立方晶体中混合位错的成核过程。该方法将位错密度场表示成第一类Chebyshev多项式的形式,而滑移面上的剪应力表示成三角级数的形式,得到了新的控制方程,最后运用Newton-Raphson法对新的控制方程进行求解。计算结果表明,本文提出的方法对于分析简单立方晶体中混合位错的成核过程具有简单、精确的特点。
Peierls-Nabarro模型  /  混合位错  /  Chebyshev多项式  /  三角级数
The governing equation of Peierls-Nabarro (PN) model is very complex, and its solution is given often without any solving process, which restricts the application of the PN model. A new method is proposed to describe the propagation of a mixed dislocation in a simple cubic crystal. First, the shear stress field and the dislocation density field on the slip plane are expressed as the trigonometric series and the first Chebyshev polynomial series, respectively, and then a set of governing equations are obtained; finally, the Newton-Raphson method is used to solve the governing equations. The results show that the method proposed in this paper is simple and effective for analyzing the propagation of mixed dislocations in a simple cubic crystal.
Peierls-Nabarro model  /  mixed dislocation  /  Chebyshev polynomial series  /  trigonometric series
张东波;李铁萍. 简单立方晶体中混合位错分析方法. 科技导报, 2012 , 30 (12) : 54 -56 . DOI: 10.3981/j.issn.1000-7857.2012.12.008
ZHANG Dongbo;LI Tieping. An Analytical Method for Mixed Dislocation in a Simple Cubic Crystal[J]. Science & Technology Review, 2012 , 30 (12) : 54 -56 . DOI: 10.3981/j.issn.1000-7857.2012.12.008

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doi: 10.3981/j.issn.1000-7857.2012.12.008
  • 接收时间:2012-03-19
  • 首发时间:2012-04-28
  • 出版时间:2012-04-28
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  • 修回日期:2012-04-06
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2种不同金属材料的力学参数

Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
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Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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