Probabilistic B-models of cumulative fatigue damage

A review of phenomenological cumulative fatigue damage models, based on the theory of embedded Markoff chains (MC), is presented in the paper. There are two types of Bogdanoff-Kozin models (called B-models), i.e., stationary time-independent and non-stationary time-dependent ones, respectively. A new improved B-model, called the method of dependent probability transition matrix (dependent PTM) is analyzed, as well. A comparison between the models is made upon laboratory tests carried out by the author.