Abstract—‐A non‐linear cumulative fatigue damage model proposed previously is applied to different steels and various loading situations, including two‐level tests and block‐programs. Its ability to describe all the main features of fatigue damage and the ease of its practical use for engineers are discussed and several examples cited. The relationship with other formulations are pointed out together with the main advantages of the proposed model. A generalization is proposed for both cyclic temperature and multiaxial loading c