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

• Published in: Ultrasonics Vol. 51; no. 6; pp. 653 - 660
• Main Authors: Favretto-Cristini, Nathalie, Komatitsch, Dimitri, Carcione, José M., Cavallini, Fabio
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01.08.2011; Elsevier
• Subjects: 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; Anisotropy; Surface waves; Cubic lattices; Surface wave; Elastic wave; Anisotropic medium; Modeling; Crystal symmetry; Elastic crystals; Hexagonal lattices; Symmetry group; Hexagonal crystals; Elastodynamics
• ISSN: 0041-624X; 1874-9968; 1874-9968
• DOI: 10.1016/j.ultras.2011.02.007

► 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.