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According to Coffin and Manson, the number N R of cycles to fracture in the low-fatigue regime is related to the amplitude of the applied cyclic plastic deformation Acp by the famous empirical relation NRAc{ = C named after them, where p = 2 is found remarkably universal in single-phased metallic materials, whatever their atomic and/or polycrystalline structure. Here, we propose a theory of the Coffin-Manson law which is based upon the observation that the xmesoscopicw grain scale, intermediate between the dislocation scale and the macroscopic crack scale, plays a fundamental role. In addition, we get the dependence of NR on the grain size and sample size as well as a quantitative description of mesocrack clusters distribution prior to rupture, which can be tested in future experiments.

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Classical approaches of corrosion fatigue damage according to the different electrochemical corrosion domains are presented through their interests and limits. A peculiar attention is paid on the necessity to integrate corrosion-deformation interactions to these modellings. A non exhaustive review of such interactions in corrosion fatigue is made and trends for further researches are emphasized.