Title  Rayleigh waves with impedance boundary conditions in anisotropic solids 
Publication Type  Journal Article 
Year of Publication  2014 
Authors  Vinh, PChi 
Secondary Authors  Hue, TThi Thanh 
Journal  Wave Motion 
Volume  51 
Pagination  1082  1092 
Abstract  The paper is concerned with the propagation of Rayleigh waves in an elastic halfspace with impedance boundary conditions. The halfspace is assumed to be orthotropic and monoclinic with the symmetry plane x3 = 0 . The main aim of the paper is to derive explicit secular equations of the wave. For the orthotropic case, the secular equation is obtained by employing the traditional approach. It is an irrational equation. From this equation, a new version of the secular equation for isotropic materials is derived. For the monoclinic case, the method of polarization vector is used for deriving the secular equation and it is an algebraic equation of eighthorder. When the impedance parameters vanish, this equation coincides with the secular equation of Rayleigh waves with tractionfree boundary conditions.

DOI  10.1016/j.wavemoti.2014.05.002 