Fractal Analysis and Its Applications in Materials Science

A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Engineering".

Deadline for manuscript submissions: 30 April 2025 | Viewed by 835

Special Issue Editor


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Guest Editor
Laboratory of Mechanics and Acoustics, French National Centre for Scientific Research LMA, CNRS, UMR 7031, Centrale Marseille, Aix-Marseille University CEDEX 20, F-13402 Marseille, France
Interests: porous materials; micropolar and fractal materials; fractional calculus; ultrasonic and low frequency characterization; acoustic propagation; vibroacoustic; alloys; direct and inverse problem solving; optimization
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Special Issue Information

Dear Colleagues,

This Special Issue provides a comprehensive exploration of fractal analysis and its diverse applications in materials science. Expected contributions will cover a wide spectrum of fields, including metamaterial characterization, applications in geophysics, medicine, chemistry, physics, mechanics, signal processing, acoustics, ultrasonics, solid and fluid mechanics, porous materials, fractional calculus, and more.

Researchers are encouraged to showcase works illustrating the applicability of fractal analysis in these various domains, highlighting how this approach can contribute to a deeper understanding of structural complexity at different scales. The aim is to foster discussion on current advancements and inspire new and innovative perspectives in these diverse fields.

We eagerly anticipate contributions that unveil the multifaceted nature of fractal analysis and its impact on materials science, providing a platform to explore the frontiers of research in these interdisciplinary domains.

Dr. Zine El Abiddine Fellah
Guest Editor

Manuscript Submission Information

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Keywords

  • fractal analysis
  • fractal materials
  • fractals media
  • metamaterial characterization
  • acoustic characterization
  • porous materials
  • micropolar materials
  • poroelastic /elastic materials
  • solid and fluid mechanics
  • self-similar media
  • fractal analysis and applications in materials science

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Published Papers (1 paper)

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Research

26 pages, 7227 KiB  
Article
Uncertainty-Based Scale Identification and Process–Topography Interaction Analysis via Bootstrap: Application to Grit Blasting
by François Berkmans, Julie Lemesle, Robin Guibert, Michal Wieczorowski, Christopher Brown and Maxence Bigerelle
Fractal Fract. 2025, 9(1), 48; https://doi.org/10.3390/fractalfract9010048 - 17 Jan 2025
Viewed by 469
Abstract
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 [...] Read more.
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 µm2 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 R2 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. Full article
(This article belongs to the Special Issue Fractal Analysis and Its Applications in Materials Science)
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