Dimensional transitions in creeping materials due to nonlinearity and microstructural disorder

Niccolini, Gianni; Rubino, Alessio; Carpinteri, Alberto

doi:10.1016/j.chaos.2020.110345

Cited by 6 publications

(2 citation statements)

References 25 publications

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“…Subsequently, Macek [31,32] studied the correlation between fractal dimension of the fracture surface and fatigue loading condition for aluminium and steel alloy samples. Another interesting application of the fractal geometry was done by Niccolini et al [33] to study the influence of microstructural disorder on creeping materials.…”

Section: The Fractal Approachmentioning

confidence: 99%

Comparison between Fractal and Statistical Approaches to Model Size Effects in VHCF

Invernizzi

Paolino

Montagnoli

et al. 2022

Metals

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Size effects concern the anomalous scaling of relevant mechanical properties of materials and structures over a sufficiently wide dimensional range. In the last few years, thanks to technological advances, such effects have been experimentally detected also in the very high cycle fatigue (VHCF) tests. Research groups at Politecnico di Torino are very active in this field, observing size effects on fatigue strength, fatigue life and fatigue limit up to the VHCF regime for different metal alloys. In addition, different theoretical models have been put forward to explain these effects. In the present paper, two of them are introduced, respectively based on fractal geometry and statistical concepts. Furthermore, a comparison between the models and experimental results is provided. Both models are able to predict the decrement in the fatigue life and in the conventional fatigue limit.

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Section: The Fractal Approachmentioning

confidence: 99%

Comparison between Fractal and Statistical Approaches to Model Size Effects in VHCF

Invernizzi

Paolino

Montagnoli

et al. 2022

Metals

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“…Fractal theory can also be applied to study the fracture in viscoelastic materials [6]. Fracture surfaces often exhibit complex patterns, and fractal analysis can quantify the roughness and complexity of these surfaces.…”

Section: Introductionmentioning

confidence: 99%

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

Elhmali,

Serpa,

Radojevic

et al. 2024

Fractal Fract

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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.

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Scaling and Fractality in Sub-critical Fatigue and Creep Crack Growth

Carpinteri

2021

Solid Mechanics and Its Applications

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Dimensional transitions in creeping materials due to nonlinearity and microstructural disorder

Cited by 6 publications

References 25 publications

Comparison between Fractal and Statistical Approaches to Model Size Effects in VHCF

Comparison between Fractal and Statistical Approaches to Model Size Effects in VHCF

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

Scaling and Fractality in Sub-critical Fatigue and Creep Crack Growth

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