The fractal dimension as estimator of the fractional content of metal matrix composite materials

Agrisuelas, Jerónimo; Garcı́a-Jareño, J.J.; Giménez-Romero, David; Negrete, F.; Vicente, F.

doi:10.1007/s10008-008-0743-8

Cited by 12 publications

(4 citation statements)

References 23 publications

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“…In recent years and in electrochemistry, new spectroscopic configurations have been developed to obtain the simultaneous information from two different parts on the electrode surface or from the surface electrode and the solution near the electrode surface, , but it requires two spectrometers working simultaneously. As a complementary and alternative tool, the analysis of digital images allows the investigation of the kinetics on the entire surface of different kinds of substrates, in both transparent and nontransparent surfaces. − …”

Section: Introductionmentioning

confidence: 99%

Kinetics of Surface Chemical Reactions from a Digital Video

et al. 2020

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In the last few years, the color analysis of the studied surface has been regarded as a nonexpensive way to obtain not only the spectrochemical data but also the spatiotemporal information of the entire surface. Mean color intensities and standard deviation calculated from the red, green, and blue color histograms of digital images of surfaces have been considered particularly useful for the chemical understanding of surface kinetics. The shape of curves, the maximum of peaks, or the halfpeak widths depend on the kinetic constants and on the kinetic order of the surface chemical process. Some strategies used for obtaining the kinetics from RGB color intensities and their standard deviations are proposed.

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Section: Introductionmentioning

confidence: 99%

Kinetics of Surface Chemical Reactions from a Digital Video

et al. 2020

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“…The dQ FdA / curve at 686 nm only presents a well-defined peak at 0.17 V during these voltammograms. The main PB electrochemical process that takes place at this potential involves the potassium ions exchange to reach the film electroneutrality (41) and therefore, the spectroscopic absorbance at 686 nm and the exchange of potassium ions could be related (36). This one would explain the coupling between the voltammetric and the peaks of the dA/dt function, since the electrochemical process which involves the potassium ions exchange takes place at these potentials and moreover, it increases its importance in the PB electrochemistry insofar as the soluble PB structure is synthesized (28,29).…”

Section: Resultsmentioning

confidence: 99%

“…Indeed, the induced current is related to the voltammetric peak (36) and as commented above, the voltabsommetric and voltammetric peaks are also related. Accordingly and explaining the evolution of this v peak during the PB transformation, we may also takes into account that the (36), that a coercive field causes the intensification of the mechanism of charge transfer between the different spin iron atoms (50,51) and that the amount of ( ) units due to the internal coercive field observed during this switch. Thus, the dA/dt peak at 686 nm is intensified during the PB transformation process because this coercive field is strengthened insofar as the soluble PB is synthesized.…”

Section: Discussionmentioning

confidence: 99%

About the Insoluble to the Soluble Prussian Blue Transformation

Agrisuelas¹,

Garcı́a-Jareño²,

Giménez-Romero³

et al. 2009

ECS Trans.

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Interfacial and nano-gravimetric results are analyzed together with spectro-electrochemical in situ results in order to study the electrochemical transformation of the Prussian Blue films from the freshly deposited to the stable form. This is a complex process that implies apparently the lost of water molecules and the entrance of potassium ions into the ferrocyanide vacancies of the crystalline structure.

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“…The percolation of the system greatly modifies its properties. The formation of these clusters depends on the fractional content of the composite material [4]. Another classic example of fractal structures in metals is the fracture surface [5].…”

Section: Introductionmentioning

confidence: 99%

Fractal Analysis of Strain-Induced Microstructures in Metals

Fernández¹,

González-Doncel²,

Garcés³

2020

Fractal Analysis - Selected Examples

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The deformation of materials is a key topic for different industrial sectors. The correlation between specific thermomechanical processes, like extrusion, rolling or additive manufacturing, and the resultant material's microstructure, is particularly interesting. In these thermomechanical processes, the microstructure of the materials depends mainly on the applied stress, the magnitude of strain achieved in a given time period, and the temperature. In the case of metals and alloys, plastic deformation can be described microscopically based on the dynamics of a huge population of moving dislocations. Plasticity is characterized at the mesoscale by the avalanche-like collective behavior of dislocations, which is a typical case of self-organized systems. Dislocations are organized into cells named grains or subgrains that greatly influence the mechanical behavior of metals and alloys. The existence of these fractal structures of dislocations in metals is well established. However, it is very complex to conduct a fractal analysis of these microstructures. This is actually done by looking for a compromise between a detailed description of the complex fractal microstructure and the development of a practical procedure that avoids unaffordable extensive characterization in a different time and spatial scales. Several cases will be described considering different alloys and experimental conditions.

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The fractal dimension as estimator of the fractional content of metal matrix composite materials

Cited by 12 publications

References 23 publications

Kinetics of Surface Chemical Reactions from a Digital Video

Kinetics of Surface Chemical Reactions from a Digital Video

About the Insoluble to the Soluble Prussian Blue Transformation

Fractal Analysis of Strain-Induced Microstructures in Metals

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