The physical origin of the coffin-manson law in low-cycle fatigue

D. Sornette, T. Magnin, Y. Brechet

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According to Coffin and Manson, the number NR of cycles to fracture in the low-fatigue regime is related to the amplitude of the applied cyclic plastic deformation Asp by the famous empirical relation NR∆eβp = C named after them, where β = 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 «mesoscopic» 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.

Original languageEnglish
Pages (from-to)433-438
Number of pages6
Journal Europhysics Letters
Issue number5
Publication statusPublished - 1 Nov 1992
Externally publishedYes

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