Finite Element Analysis of the Size Effect on Ceramic Strength
Finite Element Analysis of the Size Effect on Ceramic Strength
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DOI：
10.3390/ma12182885
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发表时间：
2019-09
期刊：
影响因子：
3.4
通讯作者：
K. Takeo;Y. Aoki;T. Osada;W. Nakao;S. Ozaki
中科院分区：
文献类型：
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作者：
K. Takeo;Y. Aoki;T. Osada;W. Nakao;S. Ozaki
最薄弱环节理论，这是用来推导出陶瓷强度的威布尔统计，最突出的影响是尺寸效应。在这项研究中，我们分析了陶瓷强度的尺寸效应，使用有限元分析（FEA）的方法，作者先前提出的。在FEA方法中，微结构分布的数据（即，孔隙和晶粒尺寸的相对密度、尺寸和纵横比）被认为是经由断裂力学模型的连续损伤模型的输入参数。具体来说，我们研究五种尺寸的矩形试样下三种类型的负载条件。然后，我们模拟了30组试样在每种尺寸和载荷条件下的断裂应力，并得到尺度参数和有效体积之间的关系，使用威布尔分布。结果表明，所提出的有限元分析方法可以应用于陶瓷的断裂概率的分析，包括尺寸效应。
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.