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Waves in elastic bodies with discrete and continuous dynamic microstructure

This paper presents a unified approach to the modelling of elastic solids with embedded dynamic microstructures. General dependences are derived based on Green's kernel formulations. Specifically, we consider systems consisting of a master structure and continuously or discretely distributed os...

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Detalles Bibliográficos
Autores principales: Mishuris, Gennady S., Movchan, Alexander B., Slepyan, Leonid I.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Royal Society Publishing 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6894521/
https://www.ncbi.nlm.nih.gov/pubmed/31760902
http://dx.doi.org/10.1098/rsta.2019.0313
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author Mishuris, Gennady S.
Movchan, Alexander B.
Slepyan, Leonid I.
author_facet Mishuris, Gennady S.
Movchan, Alexander B.
Slepyan, Leonid I.
author_sort Mishuris, Gennady S.
collection PubMed
description This paper presents a unified approach to the modelling of elastic solids with embedded dynamic microstructures. General dependences are derived based on Green's kernel formulations. Specifically, we consider systems consisting of a master structure and continuously or discretely distributed oscillators. Several classes of connections between oscillators are studied. We examine how the microstructure affects the dispersion relations and determine the energy distribution between the master structure and microstructures, including the vibration shield phenomenon. Special attention is given to the comparative analysis of discrete and continuous distributions of the oscillators, and to the effects of non-locality and trapped vibrations. This article is part of the theme issue ‘Modelling of dynamic phenomena and localization in structured media (part 2)’.
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spelling pubmed-68945212019-12-09 Waves in elastic bodies with discrete and continuous dynamic microstructure Mishuris, Gennady S. Movchan, Alexander B. Slepyan, Leonid I. Philos Trans A Math Phys Eng Sci Articles This paper presents a unified approach to the modelling of elastic solids with embedded dynamic microstructures. General dependences are derived based on Green's kernel formulations. Specifically, we consider systems consisting of a master structure and continuously or discretely distributed oscillators. Several classes of connections between oscillators are studied. We examine how the microstructure affects the dispersion relations and determine the energy distribution between the master structure and microstructures, including the vibration shield phenomenon. Special attention is given to the comparative analysis of discrete and continuous distributions of the oscillators, and to the effects of non-locality and trapped vibrations. This article is part of the theme issue ‘Modelling of dynamic phenomena and localization in structured media (part 2)’. The Royal Society Publishing 2020-01-10 2019-11-25 /pmc/articles/PMC6894521/ /pubmed/31760902 http://dx.doi.org/10.1098/rsta.2019.0313 Text en © 2019 The Authors. http://creativecommons.org/licenses/by/4.0/ Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited.
spellingShingle Articles
Mishuris, Gennady S.
Movchan, Alexander B.
Slepyan, Leonid I.
Waves in elastic bodies with discrete and continuous dynamic microstructure
title Waves in elastic bodies with discrete and continuous dynamic microstructure
title_full Waves in elastic bodies with discrete and continuous dynamic microstructure
title_fullStr Waves in elastic bodies with discrete and continuous dynamic microstructure
title_full_unstemmed Waves in elastic bodies with discrete and continuous dynamic microstructure
title_short Waves in elastic bodies with discrete and continuous dynamic microstructure
title_sort waves in elastic bodies with discrete and continuous dynamic microstructure
topic Articles
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6894521/
https://www.ncbi.nlm.nih.gov/pubmed/31760902
http://dx.doi.org/10.1098/rsta.2019.0313
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