Uncertainty-Based Scale Identification and Process–Topography Interaction Analysis via Bootstrap: Application to Grit Blasting
Finding the relevant scale to observe the influence of a process is one of the most important purposes of multiscale surface characterization. This study investigates various methods to determine a pertinent scale for evaluating the relationship between the relative area and grit blasting pressure....
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MDPI AG
2025-01-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/9/1/48 |
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| author | François Berkmans Julie Lemesle Robin Guibert Michal Wieczorowski Christopher Brown Maxence Bigerelle |
| author_facet | François Berkmans Julie Lemesle Robin Guibert Michal Wieczorowski Christopher Brown Maxence Bigerelle |
| author_sort | François Berkmans |
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| description | Finding the relevant scale to observe the influence of a process is one of the most important purposes of multiscale surface characterization. This study investigates various methods to determine a pertinent scale for evaluating the relationship between the relative area and grit blasting pressure. Several media types were tested alongside two different methods for calculating the relative area and three bootstrapping approaches for scale determination through regression. Comparison with the existing literature highlights innovations in roughness parameter characterization, particularly the advantages of relative area over traditional parameters like Sa. This study also discusses the relevance of different media types in influencing surface topography. Additionally, insights from a similar study on the multiscale Sdq parameter and blasting pressure correlation are integrated, emphasizing a scale relevance akin to our Sdr method’s 120 µm cut-off length. Overall, our findings suggest a pertinent scale of 10,000 µm<sup>2</sup> for the Patchwork method and a 120 µm cut-off length for the Sdr method, derived from bootstrapping on residual regression across all media. At the relevant scale, every value of R<sup>2</sup> inferior to 0.83 is not significant with the threshold of 5% for the two methods of calculation of the relative area. This study enhances the understanding of how media types and blasting pressures impact surface topography, offering insights for refining material processing and surface treatment strategies. |
| format | Article |
| id | doaj-art-0093ac85bc50453582a656ff941a2522 |
| institution | Kabale University |
| issn | 2504-3110 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
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| series | Fractal and Fractional |
| spelling | doaj-art-0093ac85bc50453582a656ff941a25222025-01-24T13:33:29ZengMDPI AGFractal and Fractional2504-31102025-01-01914810.3390/fractalfract9010048Uncertainty-Based Scale Identification and Process–Topography Interaction Analysis via Bootstrap: Application to Grit BlastingFrançois Berkmans0Julie Lemesle1Robin Guibert2Michal Wieczorowski3Christopher Brown4Maxence Bigerelle5Univ. Polytechnique Hauts-de-France, CNRS, UMR 8201 - LAMIH - Laboratoire d’Automatique de Mécanique et d’Informatique Industrielles et Humaines, F-59313 Valenciennes, FranceValutec, Univ. Polytechnique Hauts-de-France, 59314 Valenciennes CEDEX 9, FranceUniv. Polytechnique Hauts-de-France, CNRS, UMR 8201 - LAMIH - Laboratoire d’Automatique de Mécanique et d’Informatique Industrielles et Humaines, F-59313 Valenciennes, FranceInstitute of Mechanical Technology, Poznan University of Technology, Plac Marii Sklodowskiej-Curie 5, 60-965 Poznan, PolandSurface Metrology Laboratory, Worcester Polytechnic Institute, Worcester, MA 01609, USAUniv. Polytechnique Hauts-de-France, CNRS, UMR 8201 - LAMIH - Laboratoire d’Automatique de Mécanique et d’Informatique Industrielles et Humaines, F-59313 Valenciennes, FranceFinding the relevant scale to observe the influence of a process is one of the most important purposes of multiscale surface characterization. This study investigates various methods to determine a pertinent scale for evaluating the relationship between the relative area and grit blasting pressure. Several media types were tested alongside two different methods for calculating the relative area and three bootstrapping approaches for scale determination through regression. Comparison with the existing literature highlights innovations in roughness parameter characterization, particularly the advantages of relative area over traditional parameters like Sa. This study also discusses the relevance of different media types in influencing surface topography. Additionally, insights from a similar study on the multiscale Sdq parameter and blasting pressure correlation are integrated, emphasizing a scale relevance akin to our Sdr method’s 120 µm cut-off length. Overall, our findings suggest a pertinent scale of 10,000 µm<sup>2</sup> for the Patchwork method and a 120 µm cut-off length for the Sdr method, derived from bootstrapping on residual regression across all media. At the relevant scale, every value of R<sup>2</sup> inferior to 0.83 is not significant with the threshold of 5% for the two methods of calculation of the relative area. This study enhances the understanding of how media types and blasting pressures impact surface topography, offering insights for refining material processing and surface treatment strategies.https://www.mdpi.com/2504-3110/9/1/48surface topographymultiscale analysisgrit blastingfractal analysis |
| spellingShingle | François Berkmans Julie Lemesle Robin Guibert Michal Wieczorowski Christopher Brown Maxence Bigerelle Uncertainty-Based Scale Identification and Process–Topography Interaction Analysis via Bootstrap: Application to Grit Blasting Fractal and Fractional surface topography multiscale analysis grit blasting fractal analysis |
| title | Uncertainty-Based Scale Identification and Process–Topography Interaction Analysis via Bootstrap: Application to Grit Blasting |
| title_full | Uncertainty-Based Scale Identification and Process–Topography Interaction Analysis via Bootstrap: Application to Grit Blasting |
| title_fullStr | Uncertainty-Based Scale Identification and Process–Topography Interaction Analysis via Bootstrap: Application to Grit Blasting |
| title_full_unstemmed | Uncertainty-Based Scale Identification and Process–Topography Interaction Analysis via Bootstrap: Application to Grit Blasting |
| title_short | Uncertainty-Based Scale Identification and Process–Topography Interaction Analysis via Bootstrap: Application to Grit Blasting |
| title_sort | uncertainty based scale identification and process topography interaction analysis via bootstrap application to grit blasting |
| topic | surface topography multiscale analysis grit blasting fractal analysis |
| url | https://www.mdpi.com/2504-3110/9/1/48 |
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