Abstract
The initial stage of the fatigue process is the formation of persistent slip bands (psb’s). Recently, it was discovered that psb’s in large grains of an aluminum alloy elongate at a constant rate. This report describes a new model of a psb which accounts for this result. It is proposed that the material within a psb has a wide variation in yield strength: it is very small near the tip, but increases with distance from the tip reaching a maximum value at the initiatory site. This distribution results from softening of the matrix near the tip of the psb due to precipitate dispersal, followed by cyclic hardening of the softened material. The material parameters describing this distribution are based upon microstructural information contained in electron micrographs. Finite element calculations of the strain field show that the plastic strains in the matrix, in a small damage zone near the tip of a psb, are independent of the length of the psb, as required for a constant rate of elongation. Furthermore, the absolute values of plastic strain are consistent with the observed growth rates, while the calculated strains within the psb are in excellent agreement with interferometric data.
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Baxter, W.J., Wang, PC. A finite element model of a persistent slip band based upon electron microscopic evidence. Metall Trans A 19, 2457–2465 (1988). https://doi.org/10.1007/BF02645473
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DOI: https://doi.org/10.1007/BF02645473