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A Probabilistic Study on Thickness Effect of Fracture Toughness in Heterogeneous Brittle Materials

불균질 취성재료 파괴인성에 미치는 두께효과의 확률적 연구

  • 김엄기 (공주대학교 기계공학과) ;
  • 고성위 (부산수산대학교 제어기계공학과) ;
  • 정규동 (국방과학연구소)
  • Published : 1996.04.01

Abstract

Fracture toughness of heterogeneous brittle materials such as poly crystalline ceramics used to present the size (thickness) effect as well as statistically distributed results. There is belief that both(size effect and scatter) must be associated with each other. However, no generally accepted theory has been established so far. Using statistical approach, a probabilistic modeling for the fracture toughness which describes the thickness effect was attempted in this paper, Weibull distribution of specific fracture energy(SFE)at local areas and Griffith criterion are applied to the model. In addition, the newly developed model was verified with experimental results of alumina.

Keywords

Fracture Thoghness;Brittle Fracture;Probability;Weibull Distribution;Griffith Criterion;Ceramic