Quantitative characterization and modeling of composite microstructures by Voronoi cells

Ghosh, Somnath

doi:10.1016/s1359-6454(96)00365-5

Cited by 175 publications

(74 citation statements)

References 13 publications

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“…They also used the Voronoi method to perform a quantitative analysis of the fiber distribution within the polymer matrix in order to relate it to the tensile modulus of differently treated composites. Ghosh et al [17] applied a Voronoi diagram to characterize computer-simulated multiphase microstructures. The same authors also used the radial distribution functions (RDFs) to analyze the patterns in their composites.…”

Section: Introductionmentioning

confidence: 99%

“…The same authors also used the radial distribution functions (RDFs) to analyze the patterns in their composites. These RDFs give information about the distribution of particles around a central particle and can therefore be used to detect clustering in the system [17]. Another study of simulated microstructures was made by Pyrz and Bochenek, who investigated the topological disorder of inclusions in composites [18].…”

Section: Introductionmentioning

confidence: 99%

“…shown in Figure 1, was carried out by RDF analysis. This method was already found to be useful in describing the fiber distribution in fiber-reinforced composites [17,30]. In fact, the RDF gives information about the areal density of the fibers at a certain distance and can subsequently indicate the degree of fiber clustering in the microstructure.…”

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confidence: 99%

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A Voronoi-diagram analysis of the microstructures in bulk-molding compounds and its correlation with the mechanical properties

Bertoncelj¹,

Vojisavljević²,

Rihtarsic³

et al. 2016

Express Polym. Lett.

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Abstract. Voronoi analysis is implemented to assess the influence of fiber content on the microstructure and mechanical properties of bulk-molding compounds containing different weight fractions of E-glass fibers (EGF) (5-20 wt%). The fiber distribution in the polymer matrix is analyzed by scanning electron microscopy followed by the Voronoi tessellations, radial distribution function and statistical calculations. The experimental results are compared to modelled microstructures. The derived microstructural descriptors allow us to correlate the fiber weight content and the degree of fiber distribution homogeneity with the mechanical properties of EGF-reinforced composites. The distribution of fibers in composites with 10 and 15 wt% of fibers could be considered as the most homogeneous. This is in a good agreement with the results of the flexural strength and dynamic mechanical analyses, which confirmed that the latter samples exhibit the highest level of reinforcement.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A Voronoi-diagram analysis of the microstructures in bulk-molding compounds and its correlation with the mechanical properties

Bertoncelj¹,

Vojisavljević²,

Rihtarsic³

et al. 2016

Express Polym. Lett.

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“…In order to determine the distribution of the metallic particles the Voronoi tessellation have been used [14].…”

Section: Methodsmentioning

confidence: 99%

Fabrication of ZrO2-Ti Composites by Slip Casting Method

Łada¹,

Falkowski²,

Miazga³

et al. 2016

Archives of Metallurgy and Materials

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Slip casting is one of the most popular shaping method in ceramic technology which allows producing a large number of elements in small period of time. This shaping technique gives a possibility to fabricate ceramic or composite materials such as ZrO 2 -Ti. Ti with its properties (low density, high melting point, high-temperature strength, good corrosion resistance and others) combine with ZrO 2 (high flexure strength, high compression resistance and very high K IC ) can be considered for different applications as constructional and functional materials. For the preparation of such composite nanometric zirconium oxide powder stabilized by 3 mol% Y 2 O 3 and micrometric titanium powder were used. Water-based slurries with 35, 40, 45 and 50 vol.% solid phase content were prepared with 3, 10 and 15 vol.% addition of titanium powder. Zeta potential and pH of prepared slurries were considered. The pH changes were tested as a function of Ti content. The viscosity of the prepared slurries was measured. The sedimentation tests for selected slurries were performed. The casting rate for slurry of 35% solid phase with 10 vol.% Ti was examined. These measurements showed good stability of slurries. With the increasing of the solid phase concentration the density of the green bodies increased. However, the increase of the content of Ti powder reduced the density of green body samples. For selected samples the SEM observations was carried out. Composites produced by slip casting were characterized by a homogenous distribution of Ti particles in the ZrO 2 matrix.

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“…Our work exploits the properties of the Delaunay network (the counterpart to Voronoi/Dirichlet tessellation which defines each Voronoi polygon as the region of the system in which a specific particle is found to be the nearest), that is generated using the positions of nanoparticles [11][12][13][14][15][16]9]. Good reviews and alternative methods are also provided by [8,[17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Quantifying nanoparticle dispersion: application of the Delaunay network for objective analysis of sample micrographs

et al. 2011

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Measuring quantitatively the nanoparticle dispersion of a composite material requires more than choosing a particular parameter and determining its correspondence to good and bad dispersion. It additionally requires anticipation of the measure's behaviour towards imperfect experimental data, such as that which can be obtained from a limited number of samples. It should be recognised that different samples from a common parent population can give statistically different responses due to sample variation alone and a measure of the likelihood of this occurring allows a decision on the dispersion to be made. It is also important to factor into the analysis the quality of the data in the micrograph with it: (a) being incomplete because some of the particles present in the micrograph are indistinguishable or go unseen; (b) including additional responses which are false. With the use of our preferred method, this paper investigates the effects on the measured dispersion quality of nanoparticles of the micrograph's magnification settings, the role of the fraction of nanoparticles visible and the number of micrographs used. It is demonstrated that the best choice of magnification, which gives the clearest indication of dispersion type, is dependent on the type of nanoparticle structure present. Furthermore it is found that the measured

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Quantitative characterization and modeling of composite microstructures by Voronoi cells

Cited by 175 publications

References 13 publications

A Voronoi-diagram analysis of the microstructures in bulk-molding compounds and its correlation with the mechanical properties

A Voronoi-diagram analysis of the microstructures in bulk-molding compounds and its correlation with the mechanical properties

Fabrication of ZrO2-Ti Composites by Slip Casting Method

Quantifying nanoparticle dispersion: application of the Delaunay network for objective analysis of sample micrographs

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