Multifractal analysis of metallic surface structure changes during mechanical treatment

Колмаков, А. Г.; Vstovsky, G. V.

doi:10.1179/026708399101506300

Cited by 12 publications

(10 citation statements)

References 6 publications

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“…For this purpose the original method based on generation of rough partitioning measures was applied using the computer program MFRDrom developed by G.B. Vstovskii [5]. According to previous theoretical and experimental studies [3], the multifractal parameters, like the Renyi dimension (Dq) and the degree of the order index (A 1 00), are reasonable for quantitative parameterization.…”

Section: Methodsmentioning

confidence: 99%

Correlation of mosaic-structure peculiarities with electric characteristics and surface multifractal parameters for GaN epitaxial layers

et al. 2001

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Abstract. The first successful results of multifractal analysis application to a quantitative description of mosaic structure peculiarities, which are typical of GaN epitaxial layer with hexagonal modification grown on (0001) sapphire substrates, have been obtained. Characteristic size of the mosaic structure has been measured to be 200-800 nm. The direct dependence of mobility on the multifractal parameters (the Renyi dimension and the degree of the order index) of the surface topology of the mosaic structure has been observed for all GaN layers investigated.

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Section: Methodsmentioning

confidence: 99%

Correlation of mosaic-structure peculiarities with electric characteristics and surface multifractal parameters for GaN epitaxial layers

et al. 2001

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“…The recombination defect distributions observed were processed on a basis of the multifractal analysis using multifractal parameterization [3]. In contrast to the conventional fractal analysis, which uses only one level of self-similarity and only one correlation function of a digit ensemble density for the entire system, MP uses several levels of self-similarity and several correlation functions for large boxes of the system.…”

mentioning

confidence: 99%

EBIC Characterization of III–Nitride Structures Using Multifractal Parameterization

Shmidt

Besyul’kin

Колмаков

et al. 2002

phys. stat. sol. (c)

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Use of electron beam induced current (EBIC) method in combination of the multifractal analysis for investigation of GaN epitaxial layers with different degree of order of mosaic structure has revealed basic difference in distribution of extended defects with intense nonradiative recombination and small diffusion length of about 0.1 mm. The diffusion length of the layers with well ordered mosaic structure was determined to be 1.5-2 times longer than that of the layers with less-ordered mosaic structure. The difference between the extended defect distributions well correlates with peculiarities of carrier transfer in these layers.Introduction It is well known that the mosaic structure typical for hexagonal III nitride materials leads to an inhomogeneous distribution of electrical and optical properties. This inhomogeneous distribution can be easy revealed by different mapping techniques but the comparative quantitative analyses of images obtained on different samples by the conventional methods is rather difficult. As it was shown in Ref. [1], an application of multifractal parameterization (MP) approach allows such analyses and quantitative comparison of different structures. In particular, using the MP approach for the treatment of atomic force microscopy data allowed to characterize quantitatively such properties of mosaic structure of GaN as the degree of order (the local symmetry disruption) and the self-organization degree (the Renyi dimension) and to reveal the interconnection between these parameters and the majority charge carrier mobility. In the present work the results of MP application for the treatment of GaN EBIC maps are reported.

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“…The inclusion of the concept of multifractals, based on the general concept of measure, is one of the most promising areas for the development of a systems approach in materials science [14]. This method allows quantifying the configuration of the distribution of any physical parameter as a whole, which cannot be achieved by other methods [15].…”

Section: Experimental Researchmentioning

confidence: 99%

“…Processing the results of the hardness measurement was carried out using the multifractal parameterization method using the software MFRDrom, developed by Professor G.V. Vstovsky [14].…”

Section: Experimental Researchmentioning

confidence: 99%

The Methodology of the Determination of Accumulated Damage Level and Achievement of the Limit State in Ferromagnetic Steel Structures

Кузеев¹,

Naumkin²,

Schipachev³

et al. 2018

Proceedings of the International Symposium “Engineering and Earth Sciences: Applied and Fundamental Research” (ISEES 2018)

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The insurance of the safety of extended facilities, such as pipeline systems, raises the issue of continuous monitoring of their technical condition and control of accumulated damage. A similar problem arises in the operation of hazardous facilities with a large surface area, which include oil and gas technology reactors, reservoirs. The complexity of the problem lies in the large uncertainty of the state of the system, the initial conditions of which are not always known. At the same time, such objects are distinguished by a non-uniform distribution of mechanical properties and a non-uniform stressed-deformed state. It is shown that the traditional ways of ensuring the security of complex systems exhaust their resources, because the destruction occurs despite the improvement of diagnostic tools. The authors, formulating a new approach to assessing the degree of resource exhaustion, proceed from the fact that it is necessary to distinguish the resource of a structural material and the resource of a structure, while the structural material when introducing energy from the outside tends to include various mechanisms of adaptation to external influences. The level of accumulated damage in metal structures is determined by monitoring changes in the electrical and magnetic characteristics of metal during cyclic loading. The dependence of the change in electrical and magnetic characteristics on the number of loading cycles has an extremum, which determines the limiting state of the metal.

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Multifractal analysis of metallic surface structure changes during mechanical treatment

Cited by 12 publications

References 6 publications

Correlation of mosaic-structure peculiarities with electric characteristics and surface multifractal parameters for GaN epitaxial layers

Correlation of mosaic-structure peculiarities with electric characteristics and surface multifractal parameters for GaN epitaxial layers

EBIC Characterization of III–Nitride Structures Using Multifractal Parameterization

The Methodology of the Determination of Accumulated Damage Level and Achievement of the Limit State in Ferromagnetic Steel Structures

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