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| Naji, M. |
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Zimmer, Johannes
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Topics
Publications (9/9 displayed)
- 2018Thermochromic modulation of surface plasmon polaritons in vanadium dioxide nanocompositescitations
- 2017A revisited Johnson–Mehl–Avrami–Kolmogorov model and the evolution of grain-size distributions in steelcitations
- 2016Thermochromic modulation of surface plasmon polaritons in vanadium dioxide nanocompositescitations
- 2016A revisited Johnson-Mehl-Avrami-Kolmogorov model and the evolution of grain-size distributions in steel
- 2016A revisited Johnson--Mehl--Avrami--Kolmogorov model and the evolution of grain-size distributions in steel
- 2014Optically imprinted reconfigurable photonic elements in a VO2 nanocompositecitations
- 2011A model of shape memory alloys taking into account plasticitycitations
- 2010Three-dimensional model of martensitic transformations with elasto-plastic effectscitations
- 2004Crystal symmetry and the reversibility of martensitic transformationscitations
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article
A revisited Johnson–Mehl–Avrami–Kolmogorov model and the evolution of grain-size distributions in steel
Abstract
The classical Johnson–Mehl–Avrami–Kolmogorov approach for nucleation and growth models of diffusive phase transitions is revisited and applied to model the growth of ferrite in multiphase steels. For the prediction of mechanical properties of such steels, a deeper knowledge of the grain structure is essential. To this end, a Fokker–Planck evolution law for the volume distribution of ferrite grains is developed and shown to exhibit a log-normally distributed solution. Numerical parameter studies are given and confirm expected properties qualitatively. As a preparation for future work on parameter identification, a strategy is presented for the comparison of volume distributions with area distributions experimentally gained from polished micrograph sections.