Weibull analysis on the flexural strength of lithium silicate glass-ceramics

This database contains processed data of flexural strength obtained on lithium disilicate glass-ceramics bars prepared under different experimental protocols. The data were analyzed with two-parameter Weibull distribution as shown by the equation in which the probability of failure Pf is expressed as a function of flexural strength σ_ :
P_f=1-exp[-(σ/σ_∅ )^m ]
The Weibull parameter was obtained by performing linear regression on the double logarithm of the resulting two-parameter Weibull distribution following the equation:
ln⁡[ln⁡(1/(1-P_f )) ]=m ln⁡σ-m ln⁡〖σ_ϕ 〗
Where σ_∅ is Weibull characteristic strength at P_f = 63.2%; m is Weibull modulus which can be obtained as the slope of the fitting line when plotting ln⁡[ln⁡(1/(1-P_f )) ] vs. ln⁡σ.

本数据库收录了在不同实验方案下制备的锂硅酸玻璃陶瓷棒弯曲强度的处理数据。数据经两参数韦伯分布进行分析，其概率失效Pf以弯曲强度σ_表达为函数，具体公式如下：

P_f=1-exp[-(σ/σ_∅ )^m ]

其中，韦伯参数通过对方程中的两参数韦伯分布的双对数进行线性回归获得：

ln⁡[ln⁡(1/(1-P_f )) ]=m ln⁡σ-m ln⁡〖σ_ϕ 〗

在此公式中，σ_∅代表在P_f = 63.2%时的韦伯特征强度；m为韦伯模量，可通过绘制ln⁡[ln⁡(1/(1-P_f )) ]与ln⁡σ的关系图时拟合线的斜率获得。