Abstract: From the view point of meso-damage mechanics, a lot of practical physical models, which can be used to describe distribution law of fatigue life, are established, the likelihood estimate expressions of these distribution parameters are given, and the hypothesis test on life distribution is made by means of the advanced goodness-of-fit test method. In the case of the fatigue life being normal, lognormal or Weibull distribution, the corresponding B values are calculated.

Key words: damage mechanics, life, distribution