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Fractal Fract
Special Issues
Advanced Research in Fractal Properties of Nanoparticle and Its Application
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Advanced Research in Fractal Properties of Nanoparticle and Its Application

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

Deadline for manuscript submissions: 18 August 2024 | Viewed by 594

Special Issue Editors

Dr. Ivana Stajcic

E-Mail Website
Guest Editor
Department of Physical Chemistry, “VINČA” Institute of Nuclear Sciences, National Institute of the Republic of Serbia, University of Belgrade, 11351 Belgrade, Serbia
Interests: nanoparticles; polymers; composites; morphological; structural; mechanical; electronic; thermal properties
Dr. Aleksandar P. Stajčić

E-Mail Website
Guest Editor
Center of Microelectronic Technologies, Institute of Chemistry, Technology, and Metallurgy, National Institute of the Republic of Serbia, University of Belgrade, 11000 Belgrade, Serbia
Interests: ceramics; composites; morphological; structural; mechanical; electronic properties

Special Issue Information

Dear Colleagues,

Fractal analysis is a powerful mathematical tool that enables more thorough nanoparticle surface characterization compared to the traditional approach. A deeper understanding of surface geometrical irregularity and its influence on nanoparticle physical properties can be achieved using fractal theory. Furthermore, morphological fractal analysis could help in predicting the behavior of nanoparticles in different systems. Various properties change with an increase or decrease in fractal dimension, depending on nanoparticle synthesis, modification or the dispersion method, which can be used for finding optimal processing parameters.

The focus of this Special Issue is to advance research on subjects related to the application of fractal theory in the morphological, topological or structural analysis of nanoparticles, grain boundary phenomena and the influence of fractal dimension on physical properties. Topics that are invited for submission include (but are not limited to):

  • Fractal dimension of nanoparticles
  • Surface geometry-physical property relation
  • Fractal dimension-nanoparticle synthesis optimization
  • Fractal dimension- dispersion in solid or liquid systems
  • Inter-particle surface characterization
  • Singular nanoparticles and aggregates

Dr. Ivana Stajcic
Dr. Aleksandar P. Stajčić
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Fractal and Fractional is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2700 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • fractal dimension
  • surface–property relation
  • nanoparticles and composites
  • surface–synthesis/dispersion relation
  • grain boundary

Published Papers (1 paper)

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Research

10 pages, 4192 KiB  
Article
Correlation between Agglomerates Hausdorff Dimension and Mechanical Properties of Denture Poly(methyl methacrylate)-Based Composites
by Houda Taher Elhmali, Cristina Serpa, Vesna Radojevic, Aleksandar Stajcic, Milos Petrovic, Ivona Jankovic-Castvan and Ivana Stajcic
Fractal Fract. 2024, 8(6), 314; https://doi.org/10.3390/fractalfract8060314 - 26 May 2024
Viewed by 356
Abstract
The microstructure–property relationship in poly(methyl methacrylate) PMMA composites is very important for understanding interface phenomena and the future prediction of properties that further help in designing improved materials. In this research, field emission scanning electron microscopy (FESEM) images of denture PMMA composites with [...] Read more.
The microstructure–property relationship in poly(methyl methacrylate) PMMA composites is very important for understanding interface phenomena and the future prediction of properties that further help in designing improved materials. In this research, field emission scanning electron microscopy (FESEM) images of denture PMMA composites with SrTiO3, MnO2 and SrTiO3/MnO2 were used for fractal reconstructions of particle agglomerates in the polymer matrix. Fractal analysis represents a valuable mathematical tool for the characterization of the microstructure and finding correlation between microstructural features and mechanical properties. Utilizing the mathematical affine fractal regression model, the Fractal Real Finder software was employed to reconstruct agglomerate shapes and estimate the Hausdorff dimensions (HD). Controlled energy impact and tensile tests were used to evaluate the mechanical performance of PMMA-MnO2, PMMA-SrTiO3 and PMMA-SrTiO3/MnO2 composites. It was determined that PMMA-SrTiO3/MnO2 had the highest total absorbed energy value (Etot), corresponding to the lowest HD value of 1.03637 calculated for SrTiO3/MnO2 agglomerates. On the other hand, the highest HD value of 1.21521 was calculated for MnO2 agglomerates, while the PMMA-MnO2 showed the lowest Etot. The linear correlation between the total absorbed impact energy of composites and the HD of the corresponding agglomerates was determined, with an R2 value of 0.99486, showing the potential use of this approach in the optimization of composite materials’ microstructure–property relationship. Full article
(This article belongs to the Special Issue Advanced Research in Fractal Properties of Nanoparticle and Its Application)
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