Journal of Advanced Ceramics

, Volume 7, Issue 2, pp 89–98 | Cite as

Optimal design on the high-temperature mechanical properties of porous alumina ceramics based on fractal dimension analysis

  • Jingjing Liu
  • Wenlong Huo
  • Xiaoyan Zhang
  • Bo Ren
  • Yuanbing Li
  • Zaijuan Zhang
  • Jinlong Yang
Open Access
Research Article


Fractal theory and regression analysis were employed for the first time to investigate the effect of pore size and pore distribution on high-temperature mechanical properties of porous alumina ceramics (PAC). In the present work, PAC with the comparable porosity, different pore sizes and pore distributions were prepared using carbon black as the pore-forming agent. Particular emphasis in this study was placed on the establishment of correlation between the thermal shock resistance and pore properties. The relationship between fractal dimension (Df) andthermal shock resistance parameter (Rst) in specimens presented the negative power function, indicating that low Df could benefit the improvement of thermal shock resistance in specimens. The results showed that the increase of pore size and pore sphericity leads to a reduced Df, the enhanced hot modulus of rupture (HMOR) and. The decrease of proportion of micro-pores below 2 μm, the increase of mean pore size and pore sphericity could result in the decrease of Df, and then improve Rst and HMOR of specimens. Based on the correlation between Rst and pore characteristics, PAC with improved thermal shock resistance could be achieved when their pore structure meets the above features.


porous alumina ceramics (PAC) pore size thermal shock resistance high-temperature mechanical properties fractal dimension 



The authors are grateful for the financially support from the National Basic Research Program of China (973 Program, Grant No. 2012CB722702), the National Natural Science Foundation of China (Grant No. 51572140), the China Postdoctoral Science Foundation (Grant No. 2017M610085), and the China Postdoctoral Science Foundation (Grant No. 2016T90092).


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© The Author(s) 2018

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Authors and Affiliations

  1. 1.State Key Laboratory of New Ceramics and Fine Processing, School of Materials Science and EngineeringTsinghua UniversityBeijingChina
  2. 2.State Key Laboratory of Refractories and MetallurgyWuhan University of Science and TechnologyWuhanChina

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