A Probabilistic Analysis on Fracture Strength of Ceramics

J. Ocean Eng. Technol. 1996;10(2):61-68.

세라믹스의 파괴강도에 관한 확률론적 해석

김선진

부산수산대학교 기계공학과

Keywords: Size Effect, Weakest Link Model, Tensile Strength, Fracture Probability, Brittle Materials, Weibull Distribution, Monte-Carlo Simulation

핵심용어: 치수효과, 최약링크모델, 인장강도, 파괴확률, 취성재료, Weibull 분포, 몬테카르로 시뮬레이션

Abstract

Weibull distribution function is applied very successfully to the strength of brittle materials such as ceramics and the weakest link model is applied to explain the ovents. This paper deals with the effect of specimen size on the strength of ceramics. The values of tensile strength were calculated by the Monte-Calro simuation. The tensile strength obtained was plotted on Weibull probabillity papers and represented by the 3-parameter Weibull distribution. The strength distribution function was compared with the theoretical weibull distribution. As a result, it was found that the Weibull shape parameter was changed due to the size and there was a possibility of a false indication as if the weakest link model holds good. We should be very careful when we apply the Weibull statistics to estimate the strength of products.