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A Mathematical Model for Determination of Lamellar Spacing in Materials of Poly-Grain Microstructures
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A Mathematical Model for Determination of Lamellar Spacing in Materials of Poly-Grain Microstructures
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The “973” Project (2011CB610406); the Natural Science Foundation of Hei Longjiang Province (JC201209)

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    摘要:

    基于多晶材料球形晶粒的假設合金相理論的基礎上,建立了的計算兩相片狀組織表觀值與真實值定量關系的數學模型。結果表明,對于多數多晶材料其晶粒尺寸遠大于片間距,片間距的平均表觀值與真實值的比可以由修正系數 k 表征。片間距與晶粒尺寸比值從0.05 減小到 0.0001,k 從1.5391增加到 1.5707,k 值逐漸接近于π/ 2。當片間距與晶粒尺寸的比值小于 0.001時,可以認為 k 為常數 π/ 2。本模型比傳統方法在得到真實片間距過程中減少了工作量

    Abstract:

    Based on the assumption of spherical grains in polycrystalline materials and the theory of metallography, a mathematical model was developed to calculate the quantitative relationship between apparent and true values of the lamellar spacing cutting through the grain randomly. The results indicate that the grain sizes of most polycrystalline materials are much larger than their lamellar spacings, the ratio of an average apparent value to a true one can be characterized by the corrected coefficient k. The ratio of the apparent lamellar spacing to the grain size reduces from 0.05 to 0.0001, and k increases from 1.5391 to 1.5707, which gradually tends to be π/2. When the ratio of the apparent lamellar spacing to the grain size is smaller than 0.001, value k can be considered as a constant of π/2. The amount of work will be decreased adopting the present model to get the true value of lamellar spacing compared with the conventional methods

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范學燚,王 亮,蘇彥慶,駱良順,賈麗敏,徐達鳴,郭景杰. A Mathematical Model for Determination of Lamellar Spacing in Materials of Poly-Grain Microstructures[J].稀有金屬材料與工程,2015,44(2):272~276.[Fan Xueyi, Wang Liang, Su Yanqing, Luo Liangshun, Jia Limin, Xu Daming, Guo Jingjie. A Mathematical Model for Determination of Lamellar Spacing in Materials of Poly-Grain Microstructures[J]. Rare Metal Materials and Engineering,2015,44(2):272~276.]
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  • 收稿日期:2014-03-25
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  • 在線發(fā)布日期: 2015-05-29
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