Current industrial design is highly concerned by fatigue which is the main failure mode in mechanical structures.For this reason this subject is very much studied since a famous railways accident between Paris and Versailles in the middle of the 19th century, particularly by railways engineers (W(o)hler).However despite many progresses in the comprehension of microscopic mechanisms, the design of structures which have to resist to this type of damage is still a difficult problem.Many recent examples can be observed in different industrial domains.Some of them are known but many fatigue problems in different sectors of industries are not known by the public, and are often kept secret.