Finite Element Analysis of the Size Effect on Ceramic Strength
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 F...
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doaj-fdd0df25ef00420ab9666068b84e224f2020-11-25T02:42:11ZengMDPI AGMaterials1996-19442019-09-011218288510.3390/ma12182885ma12182885Finite Element Analysis of the Size Effect on Ceramic StrengthKyohei Takeo0Yuya Aoki1Toshio Osada2Wataru Nakao3Shingo Ozaki4Division of Systems Research, Faculty of Engineering, Yokohama National University, Yokohama 240-8501, JapanDivision of Systems Research, Faculty of Engineering, Yokohama National University, Yokohama 240-8501, JapanResearch center for Structural Materials, National Institute for Materials Science, Tsukuba 305-0047, JapanDivision of Systems Research, Faculty of Engineering, Yokohama National University, Yokohama 240-8501, JapanDivision of Systems Research, Faculty of Engineering, Yokohama National University, Yokohama 240-8501, JapanThe 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.https://www.mdpi.com/1996-1944/12/18/2885FEMdamage modelWeibull distributionflaweffective volume |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Kyohei Takeo Yuya Aoki Toshio Osada Wataru Nakao Shingo Ozaki |
spellingShingle |
Kyohei Takeo Yuya Aoki Toshio Osada Wataru Nakao Shingo Ozaki Finite Element Analysis of the Size Effect on Ceramic Strength Materials FEM damage model Weibull distribution flaw effective volume |
author_facet |
Kyohei Takeo Yuya Aoki Toshio Osada Wataru Nakao Shingo Ozaki |
author_sort |
Kyohei Takeo |
title |
Finite Element Analysis of the Size Effect on Ceramic Strength |
title_short |
Finite Element Analysis of the Size Effect on Ceramic Strength |
title_full |
Finite Element Analysis of the Size Effect on Ceramic Strength |
title_fullStr |
Finite Element Analysis of the Size Effect on Ceramic Strength |
title_full_unstemmed |
Finite Element Analysis of the Size Effect on Ceramic Strength |
title_sort |
finite element analysis of the size effect on ceramic strength |
publisher |
MDPI AG |
series |
Materials |
issn |
1996-1944 |
publishDate |
2019-09-01 |
description |
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. |
topic |
FEM damage model Weibull distribution flaw effective volume |
url |
https://www.mdpi.com/1996-1944/12/18/2885 |
work_keys_str_mv |
AT kyoheitakeo finiteelementanalysisofthesizeeffectonceramicstrength AT yuyaaoki finiteelementanalysisofthesizeeffectonceramicstrength AT toshioosada finiteelementanalysisofthesizeeffectonceramicstrength AT watarunakao finiteelementanalysisofthesizeeffectonceramicstrength AT shingoozaki finiteelementanalysisofthesizeeffectonceramicstrength |
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1724774714398736384 |