A novel numerical simulation method based on finite element analysis (FEA), which can evaluate the fracture probability caused by the characteristics of flaw distribution, is considered an effective tool to facilitate and increase the use of ceramics in components and members. In this study, we propose an FEA methodology to predict the scatter of ceramic strength. Specifically, the data on the microstructure distribution (i.e., relative density, size and aspect ratio of pore, and grain size) are taken as the input values and reflected onto the parameters of a continuum damage model via a fracture mechanical model based on the circumferential circular crack emanating from an oval spherical pore. In addition, we numerically create a Weibull distribution based on multiple FEA results of a three‐point bending test. Its validity is confirmed by a quantitative comparison with the actual test results. The results suggest that the proposed FEA methodology can be applied to the analysis of the fracture probability of ceramics.

中文翻译：

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陶瓷断裂统计的有限元分析：晶粒尺寸和孔径分布的影响

一种新的基于有限元分析（FEA）的数值模拟方法可以评估由缺陷分布特征引起的断裂概率，被认为是促进和增加陶瓷在零件和构件中的使用的有效工具。在这项研究中，我们提出了一种FEA方法来预测陶瓷强度的散布。具体而言，将有关微观结构分布的数据（即，相对密度，孔的尺寸和纵横比以及晶粒尺寸）作为输入值，并通过基于圆周方向的断裂力学模型反映到连续损伤模型的参数上从椭圆形球形孔发出的圆形裂纹。此外，我们基于三点弯曲测试的多个有限元分析结果，以数值方式创建了威布尔分布。通过与实际测试结果进行定量比较来确认其有效性。结果表明，所提出的有限元分析方法可以应用于陶瓷断裂概率的分析。