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新銳洞察孔體積變化率-以泡沫鈦為例
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1.江西理工大學;2.重慶大學

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國家自然科學基金項目(面上項目,重點項目,重大項目);江西省教育廳項目;江西理工大學博士啟動基金項目


New Insights into Rate Change of Pore Volume-Take Titanium Foam for Example
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1.Jiangxi University of Science and Technology;2.,Jiangxi University of Science and Technology;3.Chongqing University

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    摘要:

    基于粉末冶金的造孔劑法被廣泛應用于制備泡沫金屬尤其是泡沫鈦。然而,如何獲得所需孔隙率是這一技術面臨的巨大挑戰(zhàn),因為孔隙率往往偏離期望值。作者前一研究的結(jié)果(即,P=ax+b。其中,a=1/(1+δ),b=δ/(1+δ))導致一個非常有趣的結(jié)論:孔體積變化率(δ)是一個不定數(shù)學常數(shù)。在研究基礎的工作上,本文通過建立數(shù)學模型發(fā)現(xiàn)了一個新的結(jié)果,即方程δ =φ-1。其中,長度指數(shù)積φ代表燒結(jié)泡沫的實際長度與設計值的比值乘積。這表明長度指數(shù)積(φ)是一個我們可測量它的值的不定數(shù)學常數(shù)。因而,求出φ的值可以算出a和b,泡沫鈦的孔隙率(P)就可以通過基于造孔劑含量(x)的線性方程P=ax+b來預測。這意味著在不測量孔隙率的情況下,可以通過測量燒結(jié)泡沫金屬的宏觀尺寸變化來獲得孔隙率的調(diào)控方程。本文的研究為粉末造孔劑法制備泡沫金屬的結(jié)構調(diào)控提供了新思路和新方法。

    Abstract:

    The space holder technique was widely used to fabricate metal foams specially for titanium foam. However, how to obtain the desired porosities has been a big challenge for this technique, because they are always not equal to the expected ones. The results of the previous study (i.e., P=ax+b. where a=1/(1+δ), b=δ/(1+δ)) resulted in a very interesting conclusion, that is the rate change of pore volume (δ) is an indefinite mathematical constant. On the basis of research works, this paper found a new results by establishing mathematical model which can be shown as equation δ=φ-1. Here, φ is the length index product stands for the ratio between actual value of length and designed length for a sintered metal foam. It reveals that the length index product (φ) is also an indefinite mathematical constant which we can measure its value. Therefore, δ was solved, means both a and b are solved, so the porosity (P) of titanium foam can be predicted by the equation P=ax+b dependent on the spacer content (x). It indicates that in the absence of measurement of porosity, the macroscopic dimensions of the sintered metal foam can be measured to obtain the control equation of porosity. The research of this paper provides new ideas and methods for the structural control of metal foams prepared by space holder technique based on powder technology.

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肖健,劉錦平,王智祥,邱貴寶.新銳洞察孔體積變化率-以泡沫鈦為例[J].稀有金屬材料與工程,2018,47(11):3289~3294.[Xiao Jian, Liu Jinping, Wang Zhixiang, Qiu Guibao. New Insights into Rate Change of Pore Volume-Take Titanium Foam for Example[J]. Rare Metal Materials and Engineering,2018,47(11):3289~3294.]
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  • 收稿日期:2018-01-10
  • 最后修改日期:2018-03-29
  • 錄用日期:2018-04-04
  • 在線發(fā)布日期: 2018-12-19
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