Quantification of the Morphological Signature of Roping Based on Multiscale Analysis and Autocorrelation Function Description
Abstract
:1. Introduction
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- To assess the differences of predictions made by different models. Wu et al. [5] used a finite element method incorporating measured Electron Back Scattered Diffraction (EBSD) data to simulate the development of roping. They analyzed the changes in the surface profiles to compare different predictions.
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- To measure the influence of grain size and shape on roping level. Patra et al. [6] examined the microstructure changes at different steps of the industrial process of 409 L grade ferritic stainless steel and identified a direct correlation between roping and the severity of coarse-grain banding.
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- To assess the influence of iron contents on roping phenomenon, Jin and Lloyd [7] investigated the impact of Fe contents on roping. In their study, the examined the evolution of roughness through the use of the arithmetical mean height Ra and total height of the profile Rt but they did not link the roping level (qualitative estimation of roping) with the roughness results.
2. Materials and Methods
2.1. Material and Roughness Measurements
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- for the multiscale analysis, 100 measurements of 1188 µm × 891 µm with a step of 1.09 µm were performed on each specimen with a 20× objective (I 200646, Zygo Corp, Middlefield, CT, USA). An example of measurement is shown in Figure 1.
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- for the autocorrelation function description, two very large measurements of 84,385 µm × 17,691 µm were performed on each specimen with a 5× objective (CF Plan 427028, Nikon, Tokyo, Japan) (and 0.5× zoom).
2.2. Multiscale Analysis Methodology
3. Results and Discussion
3.1. Multiscale Analysis
- (i)
- a correlation between a tested roughness parameter and the five levels of roping, hereafter called ‘gradation description’,
- (ii)
- a correlation between a roughness parameter values and the acceptable or non-acceptable status of the specimens, hereafter called ‘binary description’.
3.2. Description based on the Autocorrelation Function
3.2.1. Regularity Parameter
3.2.2. Quantitative Description of Roping based on the Autocorrelation Function
4. Conclusions
Author Contributions
Funding
Conflicts of Interest
References
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Marteau, J.; Deltombe, R.; Bigerelle, M. Quantification of the Morphological Signature of Roping Based on Multiscale Analysis and Autocorrelation Function Description. Materials 2020, 13, 3040. https://doi.org/10.3390/ma13133040
Marteau J, Deltombe R, Bigerelle M. Quantification of the Morphological Signature of Roping Based on Multiscale Analysis and Autocorrelation Function Description. Materials. 2020; 13(13):3040. https://doi.org/10.3390/ma13133040
Chicago/Turabian StyleMarteau, Julie, Raphaël Deltombe, and Maxence Bigerelle. 2020. "Quantification of the Morphological Signature of Roping Based on Multiscale Analysis and Autocorrelation Function Description" Materials 13, no. 13: 3040. https://doi.org/10.3390/ma13133040