2008
DOI: 10.1080/14786430802502575
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Linking plastic deformation to recrystallization in metals using digital microstructures

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Cited by 60 publications
(38 citation statements)
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“…Consequently, the rates of volume change for small grain sizes are Comparing the results obtained using the mean field model discussed in [41] and the direct use of Equation 12, it is observed that the effect of the volume conservation treatment is more important for a small number of representative grain families (around 50). In fact, when using 40 representative grain families (as the case in the comparisons presented in Figure 8), the direct use of Equation 12 gives better results than the model presented in [41]. However, for a statistical number of representative grains around 200, both methods lead to the same results, and the volume conservation treatment does not affect the results.…”
Section: From Equation 11mentioning
confidence: 64%
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“…Consequently, the rates of volume change for small grain sizes are Comparing the results obtained using the mean field model discussed in [41] and the direct use of Equation 12, it is observed that the effect of the volume conservation treatment is more important for a small number of representative grain families (around 50). In fact, when using 40 representative grain families (as the case in the comparisons presented in Figure 8), the direct use of Equation 12 gives better results than the model presented in [41]. However, for a statistical number of representative grains around 200, both methods lead to the same results, and the volume conservation treatment does not affect the results.…”
Section: From Equation 11mentioning
confidence: 64%
“…Future work will be dedicated to (i) investigating volume conservation issues in grain growth regime, (ii) analyzing the number of sides relationship with the grain size, particularly in the quasi-steady regime, (iii) extending the present study from 2D to 3D, (iv) considering anisotropic grain boundary mobility and energy, and (v) following the same strategy to compare static and dynamic recrystallization predictions of the mean field model presented in [41] with those obtained with the full field approach [12] [13].…”
Section: Discussionmentioning
confidence: 99%
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“…As it is an in situ, non-destructive method, it can be used for time-dependent studies of grain structure evolution [14,15], but requires high-intensity synchrotron sources that are not generally accessible. In recent years, a variety of numerical models have also been developed to simulate grain structures, e.g., the Monte-Carlo (Potts) model [16], the ellipsoid packing algorithm combined with the cellular automata (CA) method [17], the phase field model [18] and level-set methods [19,20]. In addition to the experiment-and simulation-based methods, computational geometrical models have been applied in representing equivalent grain structures.…”
Section: Introductionmentioning
confidence: 99%
“…In a series of papers by the same group of authors, level set models are used in both two-and three-dimensional finite element models to simulate recrystallization and grain growth [132,[137][138][139]. Coupling of a crystal plasticity finite element model with a level set formulation of recrystallization is presented in [140]. A level set approach is also taken in [141,142] where a finite difference scheme is used on fixed grids, also in both two and three dimensions.…”
Section: Level Set Modelsmentioning
confidence: 99%