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Finite Element Analysis of the Size Effect on Ceramic Strength

1
Division of Systems Research, Faculty of Engineering, Yokohama National University, Yokohama 240-8501, Japan
2
Research center for Structural Materials, National Institute for Materials Science, Tsukuba 305-0047, Japan
*
Author to whom correspondence should be addressed.
Current address: Department of Mechanical Engineering, College of Science and Engineering, Aoyama Gakuin University, Sagamihara 252-5258, Japan.
Materials 2019, 12(18), 2885; https://doi.org/10.3390/ma12182885
Received: 7 August 2019 / Revised: 30 August 2019 / Accepted: 4 September 2019 / Published: 6 September 2019
The most prominent effect of the weakest link theory, which is used to derive the Weibull statistics of ceramic strength, is the size effect. In this study, we analyze the size effect on ceramic strength using the finite element analysis (FEA) methodology previously proposed by the authors. In the FEA methodology, the data of the microstructure distribution (i.e., relative density, size, and aspect ratio of the pore and the grain size) are considered as input parameters of a continuum damage model via a fracture mechanical model. Specifically, we examine five sizes of rectangular specimens under three types of loading conditions. Then, we simulate the fracture stresses of sets of 30 specimens under each size and loading condition and obtain the relationship between the scale parameter and effective volume using the Weibull distribution. The results suggest that the proposed FEA methodology can be applied to the analysis of the fracture probability of ceramics, including the size effect. View Full-Text
Keywords: FEM; damage model; Weibull distribution; flaw; effective volume FEM; damage model; Weibull distribution; flaw; effective volume
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MDPI and ACS Style

Takeo, K.; Aoki, Y.; Osada, T.; Nakao, W.; Ozaki, S. Finite Element Analysis of the Size Effect on Ceramic Strength. Materials 2019, 12, 2885. https://doi.org/10.3390/ma12182885

AMA Style

Takeo K, Aoki Y, Osada T, Nakao W, Ozaki S. Finite Element Analysis of the Size Effect on Ceramic Strength. Materials. 2019; 12(18):2885. https://doi.org/10.3390/ma12182885

Chicago/Turabian Style

Takeo, Kyohei, Yuya Aoki, Toshio Osada, Wataru Nakao, and Shingo Ozaki. 2019. "Finite Element Analysis of the Size Effect on Ceramic Strength" Materials 12, no. 18: 2885. https://doi.org/10.3390/ma12182885

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