On reliability analysis of ceramics under multi-axial stress states (2nd report; Examination of application of three-parameter Weibull distributions)

With respect to the application of the three-parameter Weibull distribution to the reliability analysis of ceramics under multi-axial stress, the following two fundamental problems are studied theoretically; (1) whether the three-parameter Weibull distribution function holds through various different stress states without contradiction, and (2) whether the shape parameter (Weibull modulus) takes the same value independent of the stress states even if the three-parameter Weibull distribution, it is shown that the same type of distributions can be derived for the uniaxial stress state and the equibiaxial stress state. However, the shape parameter takes different values depending on the stress state. The location parameter is the same independent of the stress state.