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DOI : 10.1016/j.ultras.2011.05.001

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Ultrasonics 51, 8 (2011) 878-889

Elastic surface waves in crystals - part 2: cross-check of two full-wave numerical modeling methods

Dimitri Komatitsch 1, 2, José M. Carcione 3, Fabio Cavallini 3, Nathalie Favretto-Cristini 4

(2011)

We obtain the full-wave solution for the wave propagation at the surface of anisotropic media using two spectral numerical modeling algorithms. The simulations focus on media of cubic and hexagonal symmetries, for which the physics has been reviewed and clarified in a companion paper. Even in the case of homogeneous media, the solution requires the use of numerical methods because the analytical Green's function cannot be obtained in the whole space. The algorithms proposed here allow for a general material variability and the description of arbitrary crystal symmetry at each grid point of the numerical mesh. They are based on high-order spectral approximations of the wave field for computing the spatial derivatives. We test the algorithms by comparison to the analytical solution and obtain the wave field at different faces (stress-free surfaces) of apatite, zinc and copper. Finally, we perform simulations in heterogeneous media, where no analytical solution exists in general, showing that the modeling algorithms can handle large impedance variations at the interface.

1 :	Géosciences Environnement Toulouse (GET)
	CNRS : UMR5563 – Institut de recherche pour le développement [IRD] : UMR239 – Université Paul Sabatier [UPS] - Toulouse III – Observatoire Midi-Pyrénées
2 :	Institut Universitaire de France (IUF)
	Ministère de l'Enseignement Supérieur et de la Recherche Scientifique
3 :	Istituto Nazionale di Oceanografia e di Geofisica Sperimentale
	Istituto Nazionale di Oceanografia e di Geofisica Sperimentale
4 :	Laboratoire de Mécanique et d'Acoustique (LMA)
	CNRS : UPR7051

Domaine

:

Sciences de l'ingénieur/Acoustique Physique/Mécanique/Acoustique

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Contributeur : Nathalie Favretto-Cristini <>

Soumis le : Mercredi 8 Février 2012, 11:07:04

Dernière modification le : Mercredi 8 Février 2012, 15:10:21