Propagation of Rayleigh waves of sv type in transversely isotropic elastic media

1998 ◽  
Vol 91 (2) ◽  
pp. 2883-2893
Author(s):  
Z. A. Yanson
Keyword(s):  
Rayleigh Waves ◽  
Transversely Isotropic ◽  
Elastic Media

scholarly journals Passive retrieval of Rayleigh waves in disordered elastic media

2005 ◽  
Vol 72 (4) ◽  
Author(s):  
Eric Larose ◽  
Arnaud Derode ◽  
Dominique Clorennec ◽  
Ludovic Margerin ◽  
Michel Campillo
Keyword(s):  
Rayleigh Waves ◽  
Elastic Media

scholarly journals EXTENSION OF THE PUFEM TO ELASTIC WAVE PROPAGATION IN LAYERED MEDIA

2012 ◽  
Vol 20 (02) ◽  
pp. 1240006 ◽  
Author(s):  
O. LAGHROUCHE ◽  
A. EL-KACIMI ◽  
J. TREVELYAN
Keyword(s):  
Finite Element Method ◽  
Elastic Wave ◽  
Rayleigh Waves ◽  
Partition Of Unity ◽  
Elastic Media ◽  
Elastic Wave Equation ◽  
Wave Problems ◽  
Numer Math ◽  
Basis Decomposition ◽  
Transmission And Reflection

This work deals with the extension of the partition of unity finite element method (PUFEM) "(Comput. Meth. Appl. Mech. Eng.139 (1996) pp. 289–314; Int. J. Numer. Math. Eng.40 (1997) 727–758)" to solve wave problems involving propagation, transmission and reflection in layered elastic media. The proposed method consists of applying the plane wave basis decomposition to the elastic wave equation in each layer of the elastic medium and then enforce necessary continuity conditions at the interfaces through the use of Lagrange multipliers. The accuracy and effectiveness of the proposed technique is determined by comparing results for selected problems with known analytical solutions. Complementary results dealing with the modeling of pure Rayleigh waves are also presented where the PUFEM model incorporates information about the pressure and shear waves rather than the Rayleigh wave itself.

Rayleigh waves in transversely isotropic thermoelastic diffusive half-space

2008 ◽  
Vol 86 (9) ◽  
pp. 1133-1143 ◽  
Author(s):  
R Kumar ◽  
T Kansal
Keyword(s):  
Half Space ◽  
Rayleigh Waves ◽  
Chemical Potential ◽  
Transversely Isotropic ◽  
Surface Wave Propagation ◽  
Surface Displacements ◽  
Special Cases ◽  
Secular Equations ◽  
The Media ◽  
Straight Lines

The present investigation is devoted to the study of the propagation of Rayleigh waves in a homogeneous, transversely isotropic, thermoelastic diffusive half-space subjected to stress-free, thermally insulated and (or) isothermal, and chemical potential boundary conditions, in the context of the theory of coupled thermoelastic diffusion. Secular equations for surface-wave propagation in the media being considered are derived. The surface-particle paths during the motion are found to be elliptical, but degenerate into straight lines in case where there is no phase difference between the horizontal and vertical components of the surface displacements. The phase velocity; attenuation coefficient; specific loss of energy; and the amplitudes of surface displacements, temperature change, and concentration are computed numerically and presented graphically to depict the anisotropy and diffusion effects. Some special cases of frequency equations are also deduced from the present investigation. PACS Nos.: 62.20.–x, 62.20.D–, 62.20.de, 62.20.dj, 62.20.dq, 62.30.+d, 66.10.C–, 66.10.cd, 66.10.cg, 66.30.–h

Stress Analysis of Multilayered Anisotropic Elastic Media

1991 ◽  
Vol 58 (2) ◽  
pp. 382-387 ◽  
Author(s):  
Hyung Jip Choi ◽  
S. Thangjitham
Keyword(s):  
Stress Analysis ◽  
Stiffness Matrix ◽  
Transversely Isotropic ◽  
Solution Procedure ◽  
Plane Elasticity ◽  
Elastic Media ◽  
Surface Traction ◽  
Anisotropic Elastic ◽  
The Fourier Transform ◽  
Infinite Media

The stress analysis of multilayered anisotropic media subjected to applied surface tractions is performed within the framework of linear plane elasticity. The solutions are obtained based on the Fourier transform technique together with the aid of the stiffness matrix approach. A general solution procedure is introduced such that it can be uniformly applied to media with transversely isotropic, orthotropic, and monoclinic layers. As an illustrative example, responses of the semi-infinite media composed of unidirectional and angle-ply layers to a given surface traction are presented.

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