# SiC 첨가한 ZrO2의 기계적 특성에 대한 와이블 통계 해석

• Nam, Ki Woo (Dept. of Materials Science and Engineering, Pukyong Nat'l Univ.) ;
• Kim, Seon Jin (Dept. of Mechanical Design Engineering, Pukyong Nat'l Univ.) ;
• Kim, Dae Sik (TFT, Hi Air Korea, Co., Ltd.)
• Received : 2015.02.05
• Accepted : 2015.07.07
• Published : 2015.09.01

#### Abstract

The Vickers hardness test is a common method used to characterize the hardness of ceramic materials. However, the hardness is not a deterministic value, but is a random variable. The objective of this paper is to investigate the statistical properties of the bending strength and a set of Vickers hardness values in single $ZrO_2$ and composite $ZrO_2/SiC$ with a SiC additive. In this work, we compare the characteristic value and variation with the results based on Weibull statistical analysis. The probability distributions of the bending strength and Vickers hardness agreed relatively well with the Weibull distribution. We evaluate the scale parameter and shape parameter in asreceived $ZrO_2$ and $ZrO_2/SiC$ composite ceramics, as well as in their heat treated ceramics.

#### References

1. Ando, K., Tsuji, K., Hirasawa, T., Kobayashi, Y., Chu, M. C. and Sato, S., 1999, "Crack Healing Behavior and High Temperature Strength of Mulltite/SiC Composite Ceramics," Journal of the Society of Materials Science (Japan), Vol. 48, No. 5, pp. 489-494. https://doi.org/10.2472/jsms.48.489
2. Ando, K., Houjyou, K., Chu, M. C., Takeshita, S., Takahashi, K., Sakamoto, S. and Sato, S., 2002, "Crack Healing Behavior of $Si_3N_4/SiC$ Ceramics under Stress and Fatigue Strength at the Temperature of Healing," Journal of the European Ceramic Society, Vol. 22, pp. 1339-1346. https://doi.org/10.1016/S0955-2219(01)00435-6
3. Kim, B. A., Ando, K., Chu, M. C. and Sato, S., 2003, "Crack Healing Behavior of Monolithic Alumina and Strength of Crack-Healed Member," Journal of the Society of Materials Science(Japan), Vol. 52, No. 6, pp. 667-673. https://doi.org/10.2472/jsms.52.667
4. Nam, K. W., Kim, M. K., Park, S. W., Ahn, S. H. and Kim, J. S., 2007, "Crack Healing Behavior and Bending Strength of $Si_3N_4/SiC$ Composite Ceramics by $SiO_2$ Colloidal," Materials Science and Engineering( A), Vol. 471, Nos. 1-2, pp. 102-105. https://doi.org/10.1016/j.msea.2007.03.005
5. Kim, H. S., Kim, M. K., Kim, J. W., Ahn, S. H. and Nam, K. W., 2007, "Strength of Crack Healed-Specimen and Elastic Wave Characteristics of $Al_2O_3/SiC$ Composite Ceramics," Trans. Korean Soc. Mech. Eng. A, Vol. 31, No. 4, pp. 425-431. https://doi.org/10.3795/KSME-A.2007.31.4.425
6. Nam, K. W., Kim, H. S., Son, C. S., Kim, S. K. and Ahn, S. H., 2007, "Crack Healing and Elevated Temperature Bending Strength of $Al_2O_3$ Composite Ceramics by an amount of $Y_2O_3$," Trans. Korean Soc. Mech. Eng. A, Vol. 31, No. 11, pp. 1108-1114. https://doi.org/10.3795/KSME-A.2007.31.11.1108
7. Nam, K. W., Park, S. W., Do, J. Y. and Ahn, S. H., 2008, "Crack Healing and Bending Strength of $Si_3N_4$ Ceramics," Trans. Korean Soc. Mech. Eng. A, Vol. 32, No. 11, pp. 957-962. https://doi.org/10.3795/KSME-A.2008.32.11.957
8. Hori, S., 1990, Kyoujin Jirukonia, Uchidaroukakuho, Tokyo, pp. 106-112.
9. Kim, S. J., Kong, Y. S. and Lee, S. Y., 2009, "Weibull Statistical Analysis of Micro-Vickers Hardness using Monte-Carlo Simulation," Trans. Korean Soc. Mech. Eng. A, Vol. 33, No. 4, pp. 346-352. https://doi.org/10.3795/KSME-A.2009.33.4.346
10. Gong, J. H., Wu, J. J. and Guan, Z. D., 1999, "Examination of the Indentation Size Effect in Low-load Vickers Hardness Testing of Ceramics," Journal of the European Ceramic Society, Vol. 19, pp. 2625-2631. https://doi.org/10.1016/S0955-2219(99)00043-6

#### Cited by

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2. Weibull Statistical Analysis on the Mechanical Properties of SiC by Immersion in Acidic and Alkaline Solutions vol.40, pp.9, 2016, https://doi.org/10.3795/KSME-A.2016.40.9.767