Correlation between Agglomerates Hausdorff Dimension and Mechanical Properties of Denture Poly(methyl methacrylate)-Based Composites-Reference-Cited by-同舟云学术

Correlation between Agglomerates Hausdorff Dimension and Mechanical Properties of Denture Poly(methyl methacrylate)-Based Composites

Published:2024-05-26 Issue:6 Volume:8 Page:314
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Elhmali Houda Taher¹,Serpa Cristina²³^ORCID,Radojevic Vesna¹^ORCID,Stajcic Aleksandar⁴^ORCID,Petrovic Milos¹^ORCID,Jankovic-Castvan Ivona¹,Stajcic Ivana⁵^ORCID

Affiliation:

1. Faculty of Technology and Metallurgy, University of Belgrade, 11000 Belgrade, Serbia

2. ISEL—Instituto Superior de Engenharia de Lisboa, Aplicações Fundamentais e Investigação Operacional, 1749-016 Lisbon, Portugal

3. CMAFcIO—Centro de Matemática, Aplicações Fundamentais e Investigação Operacional, 1749-016 Lisbon, Portugal

4. Center for Microelectronic Technologies, Institute of Chemistry, Technology and Metallurgy—National Institute of the Republic of Serbia, University of Belgrade, 11000 Belgrade, Serbia

5. Department of Physical Chemistry, “Vinča” Institute of Nuclear Sciences—National Institute of the Republic of Serbia, University of Belgrade, Mike Petrovića Alasa 12-14, P.O. Box 522, 11001 Belgrade, Serbia

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 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.

Funder

Ministry of Science, Technological Development and Innovation of the Republic of Serbia

National Funding from FCT-Fundação para a Ciência e a Tecnologia

Publisher

MDPI AG

Link

https://www.mdpi.com/2504-3110/8/6/314/pdf

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