Monte Carlo simulation of creep-fatigue small cracks based on a three-dimensional model of random fracture resistance of grain boundaries.

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  • 三次元粒界破壊抵抗分布モデルによるクリープ疲労微小き裂のモンテカルロ・シミュレーション
  • 3ジゲン リュウカイ ハカイ テイコウ ブンプ モデル ニ ヨル クリープ ヒ

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Abstract

Numerical simulation was conducted on the initiatior1 and growth of multiple small cracks under creep-fatigue condition based on a three-dimensional stochastic model. It was assumed in the model that ( 1 ) (quasi) three-dimensional polycrystal grains were numerically generated on the basis of an isotropic grain growth model ; ( 2 ) the fracture driving force on each grain boundary was given as a function of the grain boundary's angle to the stress axis ; ( 3 ) each grain had a different fracture resistance, and ( 4 ) cracks did not initiate and grow inside the stress relaxation zone of the preexistent crack. Crack density, angle of an initiated crack, crack propagation rate, and cumulative probability of crack length were examined by the simulation. As a result, they coincide well with the experimental observation of Type 304 stainless steel under slow-fast fatigue at 923 K in a vacuum.

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