Elastic surface waves in crystals. Part 1: Review of the physics

► Review of harmonic and transient elastic wave propagation in anisotropic media. ► Emphasis on surface-wave propagation in crystals, minerals and metals. ► Clarification of the terminology used for the surface waves. We present a review of wave propagation at the surface of anisotropic media (cryst...

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Published inUltrasonics Vol. 51; no. 6; pp. 653 - 660
Main Authors Favretto-Cristini, Nathalie, Komatitsch, Dimitri, Carcione, José M., Cavallini, Fabio
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 01.08.2011
Elsevier
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Online AccessGet full text
ISSN0041-624X
1874-9968
1874-9968
DOI10.1016/j.ultras.2011.02.007

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Abstract ► Review of harmonic and transient elastic wave propagation in anisotropic media. ► Emphasis on surface-wave propagation in crystals, minerals and metals. ► Clarification of the terminology used for the surface waves. We present a review of wave propagation at the surface of anisotropic media (crystal symmetries). The physics for media of cubic and hexagonal symmetries has been extensively studied based on analytical and semi-analytical methods. However, some controversies regarding surfaces waves and the use of different notations for the same modes require a review of the research done and a clarification of the terminology. In a companion paper we obtain the full-wave solution for the wave propagation at the surface of media with arbitrary symmetry (including cubic and hexagonal symmetries) using two spectral numerical modeling algorithms.
AbstractList We present a review of wave propagation at the surface of anisotropic media (crystal symmetries). The physics for media of cubic and hexagonal symmetries has been extensively studied based on analytical and semi-analytical methods. However, some controversies regarding surfaces waves and the use of different notations for the same modes require a review of the research done and a clarification of the terminology. In a companion paper we obtain the full-wave solution for the wave propagation at the surface of media with arbitrary symmetry (including cubic and hexagonal symmetries) using two spectral numerical modeling algorithms.
We present a review of wave propagation at the surface of anisotropic media (crystal symmetries). The physics for media of cubic and hexagonal symmetries has been extensively studied based on analytical and semi-analytical methods. However, some controversies regarding surfaces waves and the use of different notations for the same modes require a review of the research done and a clarification of the terminology. In a companion paper we obtain the full-wave solution for the wave propagation at the surface of media with arbitrary symmetry (including cubic and hexagonal symmetries) using two spectral numerical modeling algorithms.We present a review of wave propagation at the surface of anisotropic media (crystal symmetries). The physics for media of cubic and hexagonal symmetries has been extensively studied based on analytical and semi-analytical methods. However, some controversies regarding surfaces waves and the use of different notations for the same modes require a review of the research done and a clarification of the terminology. In a companion paper we obtain the full-wave solution for the wave propagation at the surface of media with arbitrary symmetry (including cubic and hexagonal symmetries) using two spectral numerical modeling algorithms.
► Review of harmonic and transient elastic wave propagation in anisotropic media. ► Emphasis on surface-wave propagation in crystals, minerals and metals. ► Clarification of the terminology used for the surface waves. We present a review of wave propagation at the surface of anisotropic media (crystal symmetries). The physics for media of cubic and hexagonal symmetries has been extensively studied based on analytical and semi-analytical methods. However, some controversies regarding surfaces waves and the use of different notations for the same modes require a review of the research done and a clarification of the terminology. In a companion paper we obtain the full-wave solution for the wave propagation at the surface of media with arbitrary symmetry (including cubic and hexagonal symmetries) using two spectral numerical modeling algorithms.
Author Favretto-Cristini, Nathalie
Carcione, José M.
Cavallini, Fabio
Komatitsch, Dimitri
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  givenname: Nathalie
  surname: Favretto-Cristini
  fullname: Favretto-Cristini, Nathalie
  email: favretto@lma.cnrs-mrs.fr
  organization: Laboratoire de Mécanique et d’Acoustique (UPR 7051), CNRS, 31 chemin Joseph Aiguier, 13402 Marseille Cedex 20, France
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  givenname: Dimitri
  surname: Komatitsch
  fullname: Komatitsch, Dimitri
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  organization: Géosciences Environnement Toulouse (UMR 5563), UR 154 CNRS Université Paul Sabatier, Observatoire Midi-Pyrénées, 14 Avenue Édouard Belin, 31400 Toulouse, France
– sequence: 3
  givenname: José M.
  surname: Carcione
  fullname: Carcione, José M.
  email: jcarcione@inogs.it
  organization: Istituto Nazionale di Oceanografia e di Geofisica Sperimentale, Borgo Grotta Gigante 42c, 34010 Sgonico, Trieste, Italy
– sequence: 4
  givenname: Fabio
  surname: Cavallini
  fullname: Cavallini, Fabio
  email: fcavallini@inogs.it
  organization: Istituto Nazionale di Oceanografia e di Geofisica Sperimentale, Borgo Grotta Gigante 42c, 34010 Sgonico, Trieste, Italy
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Issue 6
Keywords Anisotropy
Surface waves
Cubic lattices
Surface wave
Elastic wave
Anisotropic medium
Modeling
Crystal symmetry
Elastic crystals
Hexagonal lattices
Symmetry group
Hexagonal crystals
Elastodynamics
Language English
License CC BY 4.0
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Distributed under a Creative Commons Attribution 4.0 International License: http://creativecommons.org/licenses/by/4.0
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Snippet ► Review of harmonic and transient elastic wave propagation in anisotropic media. ► Emphasis on surface-wave propagation in crystals, minerals and metals. ►...
We present a review of wave propagation at the surface of anisotropic media (crystal symmetries). The physics for media of cubic and hexagonal symmetries has...
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SubjectTerms Acoustics
algorithms
Anisotropy
Crystals
Elasticity
Engineering Sciences
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Mathematical models
Mechanics
Media
Physical Phenomena
Physics
Solid mechanics
Spectra
Structural acoustics and vibration
Structural and continuum mechanics
Surface waves
Symmetry
Terminology
Ultrasonics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Wave propagation
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