A Stochastic Model of Fatigue Crack Propagation Approximated by a Successive Random Walk Process.

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  • 連続型ランダムウォーク過程で近似した疲労き裂進展の確率モデル
  • レンゾクガタ ランダム ウォーク カテイ デ キンジシタ ヒロウ キレツ シン

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Abstract

In this study, crack propagation is regarded as a successive random walk process. Two Markovian models of crack growth described by the Fokker-Planck equation are introduced through Paris-Erdogan's law, and the crack length distribution at any fatigue cycle and the life distribution at any crack length are set up analytically with some approximations.<br>The first model is expressed by the Fokker-Planck equation with constant coefficients, which are calculatable from the crack propagation data, and another model is introduced theoretically from the distribution of the coefficient of Paris-Erdogan's equation directly.<br>These Fokker-Planck equations are analysed by the Lax-Wendroff scheme, one of the finite-difference methods. As a result, the crack-length distribution in random stress sequences is evaluated successfully.

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