Determining the shape parameter of a Weibull distribution from mechanical damage models

The aim of this paper is to show that it is possible to determine the shape factor of the Weibull distribution relating to a mechanical damage model. In particular, we define the shape parameter linked to damage by limited fatigue. Also, the parameters of distribution of cycles number to failure is characterized using the limited fatigue approach by the Basquin model. After, the Weibull parameters (β and η) are estimated by the method of moments. This work is currently used for other modes in order subsequently to obtain more precise conclusions when one analyses a Weibull sheet