Abstract
Based on a rather simple macroscopic and statistical model, experimentally observed variations of yield stress at room temperature in various ODS alloys were theoretically reproduced. For the first time, yield stress values of ODS steels were calculated by taking into account: (1) two interaction mechanisms between dislocations and nanoprecipitates (shearing or bypassing, simultaneously, depending on the particle size); and (2) the whole, possibly multimodal, nanoparticle distributions experimentally determined by SANS. The relative importances of the various strengthening mechanisms can be easily deduced from these calculations.
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Notes
other types of dispersoids might be present but were never observed in the present study
The energy per unit length of any perfect straight dislocation is written in the general form: \(E(\theta _{\text{d}})=K_{\text{E}}(\theta _{\text{d}})b^2\ln (R_{0}/R_{i})\), \(R_{0}\) being the outer cut-off radius. \(K_{\text{E}}\) parameter depends on the nature of the dislocation through \(\theta _{\text{d}}\) which is the angle between the dislocation line and the Burgers vector. In the case of linear isotropic elasticity approximation, \(K_{\text{E}}(\theta _{\text{d}}) = \frac{\mu }{4\pi (1-\nu )}\left[ 1-\nu \cos ^2\theta _{\text{d}}\right] \).
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Zhong, S.Y., Klosek, V., Carlan, Y.d. et al. Modeling of structural hardening in oxide dispersion-strengthened (ODS) ferritic alloys. J Mater Sci 51, 2540–2549 (2016). https://doi.org/10.1007/s10853-015-9566-z
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DOI: https://doi.org/10.1007/s10853-015-9566-z