An Analysis of Weibull Distribution for Residual and Fracture Strength after Proof Testing of Ceramics

Abstract

By assuming that the crack velosity a can be expressed as a power function of the stress intensity K₁, a∝Kⁿ₁, the degradation of strength during proof test of ceramic materials was analyzed, and Weibull distributions both for residual strength S_r and fracture strength σ_F after proof testing were analytically formulated. The analytical results show that Weibull curve for the S_r has a slope of about n-2 at low failure probability levels(n;the proof test environments), and also show that the corresponding Weibull curve for the σ_F has a slope of about(n-2)(N+1)/(N-2)(N;the fracture test environments).