Title  Rayleigh waves with impedance boundary conditions in incompressible anisotropic halfspaces 
Publication Type  Journal Article 
Year of Publication  2014 
Authors  Vinh, PChi, Hue, TThi Thanh 
Journal  International Journal of Engineering Science 
Volume  85 
Pagination  175  185 
Abstract  In this paper, the propagation of Rayleigh waves in an incompressible elastic halfspace with impedance boundary conditions is investigated. 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. For the monoclinic case, the method of polarization vector is used for deriving the secular equation. This is an algebraic equation of eighthorder. When the impedance parameters vanish, the equations obtained coincide with the corresponding secular equations of Rayleigh waves with tractionfree boundary conditions. "
