A Stochastic Analysis of Variation in Fatigue Crack Growth of 7075-T6 Al alloy

7075-T6 A1 합금의 피로균열진전의 변동성에 대한 확률론적 해석

Kim, Jung-Kyu;Shim, Dong-Suk

  • Published : 1996.07.01


The stochastic properties of variation in fatigue crack growth are important in reliability and stability of structures. In this study,the stochastic model for the variation of fatigue crack growth rate was proposed in consideration of nonhomogeneity of materials. For this model, experiments were ocnducted on 7075-T6 aluminum alloy under the constant stress intensity factor range. The variation of fatigue crack growth rate was expressed by random variables Z and r based on the variation of material coefficients C and m in the paris-Erodogan's equation. The distribution of fatigue life with respect to the stress intensity factor range was evaluated by the stochastic Markov chain model based on the Paris-Erdogan's equation. The merit of proposed model is that only a small number of test are required to determine this this function, and fatigue crack growth life is easily predicted at the given stress intensity factor range.


Stochastic Markov Chain Model;Fatigue Crack Growth;3-Parameter Weibull Distribution;Stress Intensity Factor Range;Paris-Erdogans Equation;Random Variable