Abstract
The constitutive behavior of an aluminum 0.1 wt pct Mg alloy deformed in the temperature range of 573 to 823 K at strain rates between 0.001 and 100 s−1 is analyzed on the basis of the concept of the mechanical threshold stress (MTS), \(\hat \sigma \), taking into consideration the contributions from the different strengthening mechanisms that could be present in this alloy, \(\hat \sigma _i \), which include one component that arises from the interaction between dislocations and solute atoms, \(\hat \sigma _s \), and another contribution from the interaction between mobile and forest dislocations, \(\hat \sigma _D \). The evolution of \(\hat \sigma _D \) is described in terms of a generalized form of an exponential-saturation equation, whereas the characterization of the ratio, s i (\(\dot \varepsilon \), T), between the flow stress at any strain rate and temperature, and the two components \(\hat \sigma _i \) is carried out by means of the phenomenological model advanced by Kocks and co-workers. It is shown that the experimental values of the flow stress as well as the work-hardening rate can be accurately described following this approach and that the maximum difference between the experimental and calculated values of such a parameter is less than ±4 MPa. The analysis conducted from continuous stress-strain curves determined at constant temperature and strain rate indicates that the relaxation strain in the generalized form of the Sah et al. relationship displays a significant strain rate dependence. The inclusion of such a dependence into the analysis by means of a simple parametric relationship leads to an improvement in the accuracy of the prediction of the model.
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Puchi-Cabrera, E.S. A constitutive description for aluminum-0.1 pct magnesium alloy under hot working conditions. Metall Mater Trans A 34, 2837–2846 (2003). https://doi.org/10.1007/s11661-003-0185-y
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DOI: https://doi.org/10.1007/s11661-003-0185-y