Rayleigh waves with impedance boundary conditions in incompressible anisotropic half-spaces

In this paper, the propagation of Rayleigh waves in an incompressible elastic half-space with impedance boundary conditions is investigated. The half-space 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 t...

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Bibliographic Details
Published inInternational journal of engineering science Vol. 85; pp. 175 - 185
Main Authors Vinh, Pham Chi, Thanh Hue, Trinh Thi
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.12.2014
Subjects
Algebra
Boundary conditions
Explicit secular equation
Half spaces
Impedance
Impedance boundary conditions
Incompressible
Mathematical analysis
Monoclinic
Orthotropic
Rayleigh waves
Vectors (mathematics)
Wave propagation
Monoclinic
Impedance boundary conditions
Incompressible
Explicit secular equation
Rayleigh waves
Orthotropic
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Summary:In this paper, the propagation of Rayleigh waves in an incompressible elastic half-space with impedance boundary conditions is investigated. The half-space 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 eighth-order. When the impedance parameters vanish, the equations obtained coincide with the corresponding secular equations of Rayleigh waves with traction-free boundary conditions.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0020-7225
1879-2197
DOI:10.1016/j.ijengsci.2014.08.002