Finite-amplitude Love waves in a pre-stressed compressible elastic half-space with a double surface layer

Wave Motion ◽  
2015 ◽  
Vol 56 ◽  
pp. 205-220 ◽  
Author(s):  
Priza Kayestha ◽  
Elizabete Rodrigues Ferreira ◽  
Anil C. Wijeyewickrema
Keyword(s):  
Surface Layer ◽  
Half Space ◽  
Finite Amplitude ◽  
Elastic Half Space ◽  
Love Waves ◽  
Double Surface

scholarly journals Group and Phase Velocity of Love Waves Propagating in Elastic Functionally Graded Materials

2015 ◽  
Vol 40 (2) ◽  
pp. 273-281 ◽  
Author(s):  
Piotr Kiełczyński ◽  
Marek Szalewski ◽  
Andrzej Balcerzak ◽  
Krzysztof Wieja
Keyword(s):  
Group Velocity ◽  
Half Space ◽  
Functionally Graded Materials ◽  
Integral Formula ◽  
Liouville Problem ◽  
Elastic Half Space ◽  
Functionally Graded ◽  
Love Waves ◽  
Graded Materials ◽  
Sturm Liouville

AbstractThis paper presents a theoretical study of the propagation behaviour of surface Love waves in nonhomogeneous functionally graded elastic materials, which is a vital problem in acoustics. The elastic properties (shear modulus) of a semi-infinite elastic half-space vary monotonically with the depth (distance from the surface of the material). Two Love wave waveguide structures are analyzed: 1) a nonhomogeneous elastic surface layer deposited on a homogeneous elastic substrate, and 2) a semi-infinite nonhomogeneous elastic half-space. The Direct Sturm-Liouville Problem that describes the propagation of Love waves in nonhomogeneous elastic functionally graded materials is formulated and solved 1) analytically in the case of the step profile, exponential profile and 1cosh2type profile, and 2) numerically in the case of the power type profiles (i.e. linear and quadratic), by using two numerical methods: i.e. a) Finite Difference Method, and b) Haskell-Thompson Transfer Matrix Method.The dispersion curves of phase and group velocity of surface Love waves in inhomogeneous elastic graded materials are evaluated. The integral formula for the group velocity of Love waves in nonhomogeneous elastic graded materials has been established. The results obtained in this paper can give a deeper insight into the nature of Love waves propagation in elastic nonhomogeneous functionally graded materials.

scholarly journals Surface waves in multilayered elastic media I. Rayleigh and Love waves from buried sources in a multilayered elastic half-space

1964 ◽  
Vol 54 (2) ◽  
pp. 627-679
Author(s):  
David G. Harkrider
Keyword(s):  
Surface Waves ◽  
Frequency Domain ◽  
Half Space ◽  
Rayleigh Waves ◽  
Elastic Half Space ◽  
Love Waves ◽  
Displacement Fields ◽  
Matrix Formulation ◽  
Total Displacement ◽  
Rayleigh And Love Waves

ABSTRACT A matrix formulation is used to derive integral expressions for the time transformed displacement fields produced by simple sources at any depth in a multilayered elastic isotropic solid half-space. The integrals are evaluated for their residue contribution to obtain surface wave displacements in the frequency domain. The solutions are then generalized to include the effect of a surface liquid layer. The theory includes the effect of layering and source depth for the following: (1) Rayleigh waves from an explosive source, (2) Rayleigh waves from a vertical point force, (3) Rayleigh and Love waves from a vertical strike slip fault model. The latter source also includes the effect of fault dimensions and rupture velocity. From these results we are able to show certain reciprocity relations for surface waves which had been previously proved for the total displacement field. The theory presented here lays the ground work for later papers in which theoretical seismograms are compared with observations in both the time and frequency domain.

scholarly journals The Effect of a Double Surface Layer on Love Waves.

1928 ◽  
Vol 1 ◽  
pp. 521-527 ◽  
Author(s):  
Robert Stoneley ◽  
Ernest Tillotson
Keyword(s):  
Surface Layer ◽  
Love Waves ◽  
Double Surface

NUMERICAL SOLUTIONS FOR LOVE WAVE DISPERSION ON A HALF‐SPACE WITH DOUBLE SURFACE LAYER

Geophysics ◽  
1959 ◽  
Vol 24 (1) ◽  
pp. 12-29 ◽  
Author(s):  
James Dorman
Keyword(s):  
Surface Layer ◽  
Half Space ◽  
Crustal Structure ◽  
Love Wave ◽  
Numerical Solutions ◽  
Wave Dispersion ◽  
Columbia University ◽  
Period Equation ◽  
Double Surface ◽  
Love Wave Dispersion

The IBM 650 computer of the Watson Scientific Computing Laboratory, Columbia University, was programmed to obtain numerical solutions for the period equation for Love waves on a half‐space with a double surface layer. Solutions including higher modes for seven models of the continental crust‐mantle system are presented. This group of related cases shows that certain properties of the solutions are diagnostic of crustal structure. These relationships are illustrated graphically.

scholarly journals Axisymmetric Frictional Contact Problem for Elastic Half-Space with Surface Layer.

1994 ◽  
Vol 60 (575) ◽  
pp. 1572-1578
Author(s):  
Toshikazu Shibuya ◽  
Hirotsugu Inoue ◽  
Masaki Kawamura ◽  
Kikuo Kishimoto
Keyword(s):  
Surface Layer ◽  
Contact Problem ◽  
Half Space ◽  
Frictional Contact ◽  
Elastic Half Space ◽  
Frictional Contact Problem

scholarly journals Horizontal Acoustic Barriers for Protection from Seismic Waves

2011 ◽  
Vol 2011 ◽  
pp. 1-8 ◽  
Author(s):  
Sergey V. Kuznetsov ◽  
Aybek E. Nafasov
Keyword(s):  
Surface Layer ◽  
Numerical Simulations ◽  
Half Space ◽  
Rayleigh Waves ◽  
Seismic Waves ◽  
Specific Region ◽  
Love Waves ◽  
Thin Surface Layer

The basic idea of a seismic barrier is to protect an area occupied by a building or a group of buildings from seismic waves. Depending on nature of seismic waves that are most probable in a specific region, different kinds of seismic barriers can be suggested. Herein, we consider a kind of a seismic barrier that represents a relatively thin surface layer that prevents surface seismic waves from propagating. The ideas for these barriers are based on one Chadwick's result concerning nonpropagation condition for Rayleigh waves in a clamped half-space, and Love's theorem that describes condition of nonexistence for Love waves. The numerical simulations reveal that to be effective the length of the horizontal barriers should be comparable to the typical wavelength.

Love waves in a three-layer elastic half-space

2015 ◽  
Vol 79 (4) ◽  
pp. 388-393 ◽  
Author(s):  
A.V. Kaptsov ◽  
S.V. Kuznetsov
Keyword(s):  
Half Space ◽  
Elastic Half Space ◽  
Love Waves
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