一种确定多晶材料微观组织片间距的数学模型(英文)  

A Mathematical Model for Determination of Lamellar Spacing in Materials of Poly-Grain Microstructures

作　　者：范学燚 王亮[1] 苏彦庆[1] 骆良顺[1] 贾丽敏[2] 徐达鸣[1] 郭景杰[1] 

机构地区：[1]哈尔滨工业大学精密热加工国防重点实验室,黑龙江哈尔滨150001 [2]河北科技大学河北省材料近净成型重点实验室,河北石家庄050018

出　　处：《稀有金属材料与工程》2015年第2期272-276,共5页Rare Metal Materials and Engineering

基　　金：The"973"Project(2011CB610406);the Natural Science Foundation of Hei Longjiang Province(JC201209)

摘　　要：基于多晶材料球形晶粒的假设合金相理论的基础上,建立了的计算两相片状组织表观值与真实值定量关系的数学模型。结果表明,对于多数多晶材料其晶粒尺寸远大于片间距,片间距的平均表观值与真实值的比可以由修正系数k表征。片间距与晶粒尺寸比值从0.05减小到0.0001,k从1.5391增加到1.5707,k值逐渐接近于π/2。当片间距与晶粒尺寸的比值小于0.001时,可以认为k为常数π/2。本模型比传统方法在得到真实片间距过程中减少了工作量。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.

关 键 词：层片间距 定量体视学 片状组织 数学模型 

分 类 号：TB30[一般工业技术—材料科学与工程]