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| Naji, M. |
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| Motta, Antonella |
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| Aletan, Dirar |
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| Mohamed, Tarek |
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| Ertürk, Emre |
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| Taccardi, Nicola |
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| Kononenko, Denys |
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| Petrov, R. H. | Madrid |
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| Alshaaer, Mazen | Brussels |
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| Bih, L. |
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| Casati, R. |
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| Muller, Hermance |
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| Kočí, Jan | Prague |
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| Šuljagić, Marija |
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| Kalteremidou, Kalliopi-Artemi | Brussels |
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| Azam, Siraj |
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| Ospanova, Alyiya |
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| Blanpain, Bart |
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| Ali, M. A. |
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| Popa, V. |
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| Rančić, M. |
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| Ollier, Nadège |
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| Azevedo, Nuno Monteiro |
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| Landes, Michael |
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| Rignanese, Gian-Marco |
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Vittorietti, Martina
in Cooperation with on an Cooperation-Score of 37%
Topics
Publications (8/8 displayed)
- 2022A Data-Driven Approach for Studying the Influence of Carbides on Work Hardening of Steelcitations
- 2021Microstructure–property relation and machine learning prediction of hole expansion capacity of high-strength steelscitations
- 2021Isotonic regression for metallic microstructure datacitations
- 2020General framework for testing Poisson-Voronoi assumption for real microstructurescitations
- 2020Statistical analysis of the relation between metallic microstructures and mechanical properties
- 2020The combined influence of grain size distribution and dislocation density on hardness of interstitial free steelcitations
- 2020Influence of M23C6 carbides on the heterogeneous strain development in annealed 420 stainless steelcitations
- 2019Accurate representation of the distributions of the 3D Poisson-Voronoi typical cell geometrical featurescitations
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article
General framework for testing Poisson-Voronoi assumption for real microstructures
Abstract
<p>Modeling microstructures is an interesting problem not just in materials science, but also in mathematics and statistics. The most basic model for steel microstructure is the Poisson-Voronoi diagram. It has mathematically attractive properties and it has been used in the approximation of single-phase steel microstructures. The aim of this article is to develop methods that can be used to test whether a real steel microstructure can be approximated by such a model. Therefore, a general framework for testing the Poisson-Voronoi assumption based on images of two-dimension sections of real metals is set out. Following two different approaches, according to the use or not of periodic boundary conditions, three different model tests are proposed. The first two are based on the coefficient of variation and the cumulative distribution function of the cells area. The third exploits tools from to topological data analysis, such as persistence landscapes.</p>