Stochastic Analysis for Influence of Grain Size on Fraction of Transgranular Fracture in Polycrystalline Ceramics

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  • YASUDA Kouichi
    Department of Inorganic Materials, Faculty of Engineering, Tokyo Institute of Technology
  • TATAMI Junichi
    Department of Inorganic Materials, Faculty of Engineering, Tokyo Institute of Technology
  • MATSUO Yohtaro
    Department of Inorganic Materials, Faculty of Engineering, Tokyo Institute of Technology
  • KIMURA Shiushichi
    Department of Inorganic Materials, Faculty of Engineering, Tokyo Institute of Technology Institute of Inorganic Synthesis, Faculty of Engineering, Yamanashi Universtiy

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  • 多結晶セラミックスの粒内破面率に及ぼす粒径の影響に関する確率論的解析
  • タケッショウ セラミックス ノ リュウナイ ハメンリツ ニ オヨボス リュウケ

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Abstract

The influence of grain size on the fraction of transgranular fracture in polycrystalline ceramics was investigated with a stochastic model. Crack propagation path was divided into three cases according to the arrival position of a crack and the angle between a main crack and a cleavage plane. The probability that a crack propagates transgranularly or intergranularly was derived from the above model with stochastic calculation. The influence of grain size on the fraction of transgranular fracture was formulated as a function of grain size. This stochastic model could well explain the influence of grain size on the fraction of transgranular fracture in polycrystalline Al2O3 reported previously.

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