Abstract
Deformation in Inconel 718 in the presence of combined effects of the stress anomaly and dynamic strain aging is analyzed according to an internal state variable model formulation. The analysis relies on the availability of experimental data in regimes of behavior where both the stress anomaly and dynamic strain aging are absent. A model that introduces two internal state variables—one characterizing interactions of dislocations with solute atoms and one characterizing interaction of dislocations with precipitates—is shown to adequately describe the temperature and strain-rate dependence of the yield stress in several superalloy systems. Strain hardening is then added with a third internal state variable to enable description of the full stress–strain curve. These equations are extrapolated into regimes where the stress anomaly and dynamic strain aging are present to identify signatures of their effects and to compare to similar analyses in a variety of metal systems. Dynamic strain aging in Inconel 718 follows similar trends to those observed previously. The magnitude of the stress anomaly tracks measurements of stress vs test temperature in pure Ni3Al. Several trends in the strain-rate sensitivity of elevated temperature deformation in superalloys are identified based on limited availability of measurements over a wide range of strain rates or tests using strain-rate changes.
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Notes
An arbitrary decision has been made to plot s i vs \( \sigma_{\varepsilon } \)(see Eq. [10]) rather than \( \hat{\sigma }_{\varepsilon } \).
It is also possible that the estimate at 673K (400°C) is of a different population than all of the other estimates, since the line through the low-temperature estimates approximately intersects all but the estimate at 673K (400°C).
In fact, fortuitously, the sign of the effect of the differences in temperature in these two datasets is opposite the sign of the effect of the differences in strain rate.
The relation between the offset stresses (open boxes) and temperature was not specified in Figure 12, but a linear dependence would appear to offer a good first approximation.
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The author is grateful for the support of Saint Vincent College in performance of this work.
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Manuscript submitted February 5, 2016.
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Follansbee, P.S. Analysis of Deformation in Inconel 718 When the Stress Anomaly and Dynamic Strain Aging Coexist. Metall Mater Trans A 47, 4455–4466 (2016). https://doi.org/10.1007/s11661-016-3609-1
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DOI: https://doi.org/10.1007/s11661-016-3609-1