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Relationship between Compressive Strength and Fractal Dimension of Pore Structure
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Relationship between Compressive Strength and Fractal Dimension of Pore Structure
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The National Basic Research Program of China (2011CB610302); The National Nature Science Program (51074130); The Key Project of the National Natural Science Foundation of China (51134003)

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    摘要:

    以粒度為38~150 μm的兩種不銹鋼粉末（不規(guī)則形狀和球形）為原料制備了不同孔隙度的金屬多孔材料，將其在真空爐中于1250℃進(jìn)行燒結(jié)，保溫時(shí)間為2 h。然后利用阿基米德定律和計(jì)算機(jī)控制萬(wàn)能力學(xué)試驗(yàn)機(jī)分別測(cè)試燒結(jié)試樣的孔隙度與壓縮強(qiáng)度，采用金相顯微鏡觀察燒結(jié)試樣的微觀組織，最后利用分形理論計(jì)算孔結(jié)構(gòu)分形維數(shù)，并分析了孔隙度、壓縮強(qiáng)度與分形維數(shù)的關(guān)系。結(jié)果表明：分形維數(shù)隨著孔隙度的增加而逐漸增大。另外，分形維數(shù)與孔隙度之間滿足玻耳茲曼模型，而壓縮強(qiáng)度與分形維數(shù)滿足指數(shù)模型

    Abstract:

    Two kinds of stainless steel powders, having spherical shape and irregular one with the particle sizes from 38 μm to 150 μm were used to produce porous metal materials, the specimens were sintered at 1250 °C for 2 h in vacuum. Their porosities and compressive strength were tested using Archimedes’ principle and a computer controlled universal testing machine, respectively. Furthermore, the microstructures were observed by an optical microscope. In addition, the fractal theory was used to investigate the fractal dimension of the pore structure and analyze the relation ship between the compressive strength, the porosity and the fractal dimension. The results show that the fractal dimension increases gradually with increasing of the porosity. The relation ship between the fractal dimension and the porosity can be expressed using the Boltzmann model. The compressive strength and the fractal dimension can be presented by the exponential model

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王建忠,湯慧萍,朱紀(jì)磊,敖慶波,支 浩,馬 軍. Relationship between Compressive Strength and Fractal Dimension of Pore Structure[J].稀有金屬材料與工程,2013,42(12):2433~2436.[Wang Jianzhong, Tang Huiping, Zhu Jilei, Ao Qingbo, Zhi Hao, Ma Jun. Relationship between Compressive Strength and Fractal Dimension of Pore Structure[J]. Rare Metal Materials and Engineering,2013,42(12):2433~2436.]
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  • 收稿日期:2012-12-18
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