Formation Model for Acoustic Characteristics of Solid Media with Ordered Fracturing

Introduction. The development of new structural materials and improvement of existing technologies for the production of new products on their basis lead to the emergence of new types of medium discontinuities. Therefore, the development of new models of discontinuities that take the previously igno...

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Main Authors: K. E. Abbakumov, A. V. Vagin, A. A. Vjuginova, I. G. Sidorenko, S. S. Sergeev
Format: Article
Language:Russian
Published: Saint Petersburg Electrotechnical University "LETI" 2023-12-01
Series:Известия высших учебных заведений России: Радиоэлектроника
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Online Access:https://re.eltech.ru/jour/article/view/820
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author K. E. Abbakumov
A. V. Vagin
A. A. Vjuginova
I. G. Sidorenko
S. S. Sergeev
author_facet K. E. Abbakumov
A. V. Vagin
A. A. Vjuginova
I. G. Sidorenko
S. S. Sergeev
author_sort K. E. Abbakumov
collection DOAJ
description Introduction. The development of new structural materials and improvement of existing technologies for the production of new products on their basis lead to the emergence of new types of medium discontinuities. Therefore, the development of new models of discontinuities that take the previously ignored parameters into account seems to be relevant for the purposes of nondestructive testing and structural measurements. This concerns, e.g., the roughness of adjacent surfaces of microcrack ordered sets.Aim. Theoretical substantiation for the processes of elastic waves propagation through an elastic medium containing an ordered lattice of microcracks with boundary conditions in the linear slip approximation, modified by taking into account the parameters of micro-convexities of microcrack rough boundaries. Database formation for experimental studies aimed at determining the physical and mechanical characteristics of structural materials.Materials and methods. The acoustic characteristics of materials were determined based on the derivation and solutions of dispersion equations describing the formation and propagation of effective longitudinal, transverse, and Rayleigh surface elastic waves in elastic media with ordered cracking. Their values were also used to determine the effective speed of Rayleigh surface waves.Results. The conducted simulation of elastic wave formation processes showed that an increase in the concentration of microcracks leads to a decrease in the phase velocities of effective longitudinal, transverse, and surface waves, as well as to an increase in the attenuation coefficients at given ultrasound frequencies and material parameters.Conclusion. The radius of the microsphere that replaces the surface micro-convexity and the roughness parameter Rz have a significant impact on the formation of physical and mechanical characteristics of materials, which are determined by the results of ultrasonic measurements. The developed model can be recommended as a basis for interpreting the results of ultrasonic measurements.
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publishDate 2023-12-01
publisher Saint Petersburg Electrotechnical University "LETI"
record_format Article
series Известия высших учебных заведений России: Радиоэлектроника
spelling doaj-art-a1275ca24e924d8fa2d36d931adb0ce62025-08-03T19:50:28ZrusSaint Petersburg Electrotechnical University "LETI"Известия высших учебных заведений России: Радиоэлектроника1993-89852658-47942023-12-012669410210.32603/1993-8985-2023-26-6-94-102548Formation Model for Acoustic Characteristics of Solid Media with Ordered FracturingK. E. Abbakumov0A. V. Vagin1A. A. Vjuginova2I. G. Sidorenko3S. S. Sergeev4Saint Petersburg Electrotechnical UniversitySaint Petersburg Electrotechnical UniversitySaint Petersburg Electrotechnical UniversitySaint Petersburg Electrotechnical UniversityInter-State Educational Institution of Higher Education "Belarusian-Russian University"Introduction. The development of new structural materials and improvement of existing technologies for the production of new products on their basis lead to the emergence of new types of medium discontinuities. Therefore, the development of new models of discontinuities that take the previously ignored parameters into account seems to be relevant for the purposes of nondestructive testing and structural measurements. This concerns, e.g., the roughness of adjacent surfaces of microcrack ordered sets.Aim. Theoretical substantiation for the processes of elastic waves propagation through an elastic medium containing an ordered lattice of microcracks with boundary conditions in the linear slip approximation, modified by taking into account the parameters of micro-convexities of microcrack rough boundaries. Database formation for experimental studies aimed at determining the physical and mechanical characteristics of structural materials.Materials and methods. The acoustic characteristics of materials were determined based on the derivation and solutions of dispersion equations describing the formation and propagation of effective longitudinal, transverse, and Rayleigh surface elastic waves in elastic media with ordered cracking. Their values were also used to determine the effective speed of Rayleigh surface waves.Results. The conducted simulation of elastic wave formation processes showed that an increase in the concentration of microcracks leads to a decrease in the phase velocities of effective longitudinal, transverse, and surface waves, as well as to an increase in the attenuation coefficients at given ultrasound frequencies and material parameters.Conclusion. The radius of the microsphere that replaces the surface micro-convexity and the roughness parameter Rz have a significant impact on the formation of physical and mechanical characteristics of materials, which are determined by the results of ultrasonic measurements. The developed model can be recommended as a basis for interpreting the results of ultrasonic measurements.https://re.eltech.ru/jour/article/view/820elastic solid mediumordered crackingroughness of microcrack surfaceultrasonic measurementseffective speed of longitudinal and transverse wavesphysical and mechanical characteristics of structural materials
spellingShingle K. E. Abbakumov
A. V. Vagin
A. A. Vjuginova
I. G. Sidorenko
S. S. Sergeev
Formation Model for Acoustic Characteristics of Solid Media with Ordered Fracturing
Известия высших учебных заведений России: Радиоэлектроника
elastic solid medium
ordered cracking
roughness of microcrack surface
ultrasonic measurements
effective speed of longitudinal and transverse waves
physical and mechanical characteristics of structural materials
title Formation Model for Acoustic Characteristics of Solid Media with Ordered Fracturing
title_full Formation Model for Acoustic Characteristics of Solid Media with Ordered Fracturing
title_fullStr Formation Model for Acoustic Characteristics of Solid Media with Ordered Fracturing
title_full_unstemmed Formation Model for Acoustic Characteristics of Solid Media with Ordered Fracturing
title_short Formation Model for Acoustic Characteristics of Solid Media with Ordered Fracturing
title_sort formation model for acoustic characteristics of solid media with ordered fracturing
topic elastic solid medium
ordered cracking
roughness of microcrack surface
ultrasonic measurements
effective speed of longitudinal and transverse waves
physical and mechanical characteristics of structural materials
url https://re.eltech.ru/jour/article/view/820
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AT aavjuginova formationmodelforacousticcharacteristicsofsolidmediawithorderedfracturing
AT igsidorenko formationmodelforacousticcharacteristicsofsolidmediawithorderedfracturing
AT sssergeev formationmodelforacousticcharacteristicsofsolidmediawithorderedfracturing