Rayleigh waves with impedance boundary conditions in anisotropic solids
The paper is concerned with the propagation of Rayleigh waves in an
elastic half-space with impedance boundary conditions. The half-space is
assumed to be orthotropic and monoclinic with the symmetry plane x
3
= 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 eighth-order. When
the impedance parameters vanish, this equation coincides with the secular
equation of Rayleigh waves with traction-free boundary conditions.
| Title: | Rayleigh waves with impedance boundary conditions in anisotropic solids |
| Authors: | Pham, Chi Vinh Trinh, Thi Thanh Hue |
| Keywords: | Rayleigh waves Impedance boundary conditions Orthotropic |
| Issue Date: | 2014 |
| Publisher: | H.: ĐHQGHN |
| Citation: | ISIKNOWLEDGE |
| Abstract: | The paper is concerned with the propagation of Rayleigh waves in an elastic half-space with impedance boundary conditions. The half-space is assumed to be orthotropic and monoclinic with the symmetry plane x 3 = 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 eighth-order. When the impedance parameters vanish, this equation coincides with the secular equation of Rayleigh waves with traction-free boundary conditions. |
| Description: | WAVE MOTION Volume: 51 Issue: 7 Pages: 1082-1092 Published: NOV 2014 |
| URI: | http://repository.vnu.edu.vn/handle/VNU_123/27382 |
| Appears in Collections: | Bài báo của ĐHQGHN trong Web of Science |
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