Radiation force of stationary elastic compressional and shear plane waves on a cylinder encased in a linear elastic solid

The assembly of acoustically-engineered composite (meta)materials rely on the acousto-elastic radiation force of stationary waves to trap solid particles and form a stable structure. Accurate modeling of the time-averaged force on a particle is needed for experimental design purposes and basic physi...

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Autor principal: F.G. Mitri
Formato: article
Lenguaje:EN
Publicado: Elsevier 2021
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spelling oai:doaj.org-article:113fca5681314c57a82e943f32d154662021-11-18T04:52:01ZRadiation force of stationary elastic compressional and shear plane waves on a cylinder encased in a linear elastic solid2666-359710.1016/j.finmec.2021.100040https://doaj.org/article/113fca5681314c57a82e943f32d154662021-10-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2666359721000317https://doaj.org/toc/2666-3597The assembly of acoustically-engineered composite (meta)materials rely on the acousto-elastic radiation force of stationary waves to trap solid particles and form a stable structure. Accurate modeling of the time-averaged force on a particle is needed for experimental design purposes and basic physical understanding of the trapping effect and particle clustering. This work presents a rigorous formalism based on the integration of the time-averaged radial power flow density to derive analytically and calculate numerically the acousto-elastic radiation force induced by compressional (P) and shear (S) plane standing waves incident upon a circular elastic cylinder embedded in a linear lossless solid. Initially, the elastic scattering by the cylinder is determined and then used to derive the acousto-elastic radiation force. Particular emphasis is made on the contributions of elastic mode preservation (P → P, S → S) as well as mode conversion (P → S, S → P) to the radiation force of standing waves. Numerical computations for the dimensionless radiation force efficiency and its components demonstrate the importance of compressional-to-shear and shear-to-compressional mode conversions in scattering that occur in linear elastic media. The analytical formalism and exact solutions of the radiation force can be used to validate numerical methods and the results of the simulations can be utilized a priori in optimizing and designing acousto-elastic radiation force experiments involving standing waves and particle assembly in materials science, elasticity imaging methods, activation of implantable devices, non-destructive evaluation and other related applications.F.G. MitriElsevierarticleRadiation forceCompressional and shear wavesStanding wavesElastic cylinderPower flow densityLinear elasticityMechanics of engineering. Applied mechanicsTA349-359TechnologyTENForces in Mechanics, Vol 4, Iss , Pp 100040- (2021)
institution DOAJ
collection DOAJ
language EN
topic Radiation force
Compressional and shear waves
Standing waves
Elastic cylinder
Power flow density
Linear elasticity
Mechanics of engineering. Applied mechanics
TA349-359
Technology
T
spellingShingle Radiation force
Compressional and shear waves
Standing waves
Elastic cylinder
Power flow density
Linear elasticity
Mechanics of engineering. Applied mechanics
TA349-359
Technology
T
F.G. Mitri
Radiation force of stationary elastic compressional and shear plane waves on a cylinder encased in a linear elastic solid
description The assembly of acoustically-engineered composite (meta)materials rely on the acousto-elastic radiation force of stationary waves to trap solid particles and form a stable structure. Accurate modeling of the time-averaged force on a particle is needed for experimental design purposes and basic physical understanding of the trapping effect and particle clustering. This work presents a rigorous formalism based on the integration of the time-averaged radial power flow density to derive analytically and calculate numerically the acousto-elastic radiation force induced by compressional (P) and shear (S) plane standing waves incident upon a circular elastic cylinder embedded in a linear lossless solid. Initially, the elastic scattering by the cylinder is determined and then used to derive the acousto-elastic radiation force. Particular emphasis is made on the contributions of elastic mode preservation (P → P, S → S) as well as mode conversion (P → S, S → P) to the radiation force of standing waves. Numerical computations for the dimensionless radiation force efficiency and its components demonstrate the importance of compressional-to-shear and shear-to-compressional mode conversions in scattering that occur in linear elastic media. The analytical formalism and exact solutions of the radiation force can be used to validate numerical methods and the results of the simulations can be utilized a priori in optimizing and designing acousto-elastic radiation force experiments involving standing waves and particle assembly in materials science, elasticity imaging methods, activation of implantable devices, non-destructive evaluation and other related applications.
format article
author F.G. Mitri
author_facet F.G. Mitri
author_sort F.G. Mitri
title Radiation force of stationary elastic compressional and shear plane waves on a cylinder encased in a linear elastic solid
title_short Radiation force of stationary elastic compressional and shear plane waves on a cylinder encased in a linear elastic solid
title_full Radiation force of stationary elastic compressional and shear plane waves on a cylinder encased in a linear elastic solid
title_fullStr Radiation force of stationary elastic compressional and shear plane waves on a cylinder encased in a linear elastic solid
title_full_unstemmed Radiation force of stationary elastic compressional and shear plane waves on a cylinder encased in a linear elastic solid
title_sort radiation force of stationary elastic compressional and shear plane waves on a cylinder encased in a linear elastic solid
publisher Elsevier
publishDate 2021
url https://doaj.org/article/113fca5681314c57a82e943f32d15466
work_keys_str_mv AT fgmitri radiationforceofstationaryelasticcompressionalandshearplanewavesonacylinderencasedinalinearelasticsolid
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