Rayleigh and Stoneley waves in linear elasticity

Article type: Research Article

Authors: Zhang, Yang^{; *; **}

Affiliations: Department of Mathematics, University of Washington, Seattle, WA, USA

Correspondence: [**] Corresponding author. E-mail: yangzh26@uw.edu.

Note: [*] Partly supported by NSF Grant DMS-1600327.

Abstract: We construct microlocal solutions of Rayleigh and Stoneley waves in isotropic linear elasticity with the density and the Lamé parameters smooth up to a curved boundary or interface. We compute the direction of the microlocal polarization and show a retrograde elliptical motion of these two type of waves.

Keywords: Rayleigh waves, Stoneley waves, microlocal polarization

DOI: 10.3233/ASY-221759

Journal: Asymptotic Analysis, vol. 130, no. 3-4, pp. 439-475, 2022