The interface between two wedges can be treated as a displacement discontinuity characterized by elastic stiffnesses. By representing the boundary between the two quarter-spaces as a displacement discontinuity, coupled wedge waves were determined theoretically to be dispersive and to depend on the specific stiffness of the non-welded contact between the two wedges. Laboratory experiments on isotropic and anisotropic aluminum confirmed the theoretical prediction that the velocity of coupled wedge waves, for a non-welded interface, ranged continuously from the single wedge wave velocity at low stress to the Rayleigh velocity as the load applied normal to the interface was increased. Elastic waves propagating along the coupled wedges of two quarter-spaces in non-welded contact are found to exist theoretically even when the material properties of the two quarter-spaces are the same.
REFERENCES
1.
A. A.
Maradudin
, R. F.
Wallis
, D. L.
Mills
, and R. L.
Ballard
, “Vibrational edge modes in finite crystals
,” Phys. Rev. B
6
(4
), 1106
–1111
(1972
).2.
P. E.
Lagasse
, “Analysis of a dispersion free guide for elastic waves
,” Electron. Lett.
8
, 372
–373
(1972
).3.
S. L.
Moss
, A. A.
Maradudin
, and S. L.
Cunningham
, “Vibrational edge modes for wedges with arbitrary interior angles
,” Phys. Rev. B
8
, 2999
–3008
(1973
).4.
M.
DeBilly
, A. C.
Hladky-Hennion
, and R.
Bossut
, “On the localization of the antisymmetric flexural edge waves for obtuse angles
,” Ultrason.
36
, 995
–1001
(1998
).5.
M.
DeBilly
, A. C.
Hladky-Hennion
, and R.
Bossut
, “The effect of imperfections on acoustic wave propagation along a wedge waveguide
,” Ultrason.
37
, 413
–416
(1999
).6.
M.
Debilly
, “Acoustic technique applied to the measurement of the free edge wave velocity
” Ultrason.
34
, 611
–619
(1996
).7.
X.
Jia
and M.
DeBilly
, “Observation of the dispersion behavior of surface acoustic waves in a wedge waveguide by laser ultrasonics
,” Appl. Phys. Lett.
61
, 2970
–2972
(1992
).8.
R.
Adler
, M.
Hoskins
, S.
Datta
, and B.
Hunsinger
, “Unusual parametric effects on line acoustic waves
,” IEEE Trans. Sonics Ultrason.
26
, 345
–347
(1979
).9.
10.
A. A.
Oliner
, “Waveguides for acoustic surface waves: A review
,” Proc. IEEE
64
, 615
–627
(1976
).11.
12.
E.
Sokolova
, A.
Kovalev
, R.
Timler
, and A.
Mayer
, “On the dispersion of wedge acoustic waves
,” Wave Motion
50
, 233
–245
(2013
).13.
J.
McKenna
, G. D.
Boyd
, and R. N.
Thurston
, “Plate theory solutions for guided flexural acoustic waves along the tip of a wedge
,” IEEE Trans. Sonics Ultrason.
3
, 178
–186
(1974
).14.
V. V.
Krylov
, “Distinctive characteristics of guided surface-wave propagation in complex topographic structures
,” Sov. Phys. Acoust.
33
, 407
–411
(1987
).15.
A. A.
Maradudin
and K. R.
Subbaswamy
, “Edge localized vibration modes on a rectangular ridge
,” J. Appl. Phys.
48
, 3410
–3414
(1977
).16.
Z. L.
Li
, I.
Achenbach
, J. D.
Komsky
, and Y. C.
Lee
, “Reflection and transmission of obliquely incident surface waves by an edge of a quarter space: Theory and experiment
,” J. Appl. Mech.
59
, 349
–355
(1992
).17.
A. A.
Krushynska
, “Flexural edge waves in semi-infinite elastic plates
,” J. Sound Vib.
330
, 1964
–1976
(2011
).18.
V. V.
Krylov
and A. V.
Shanin
, “Influence of elastic anisotropy on the velocities of acoustic wedge modes
,” Sov. Phys. Acoust.
37
, 65
–67
(1991
).19.
A. L.
Shuvalov
and V. V.
Krylov
, “Localized vibration modes in free anisotropic wedges
,” J. Acoust. Soc. Am.
107
, 657
–660
(2000
).20.
A. D.
Boardman
, R.
Garcia-Molina
, A.
Gras-Marti
, and E.
Louis
, “Electrostatic edge modes of a hyperbolic dielectric wedge: Analytical solution
,” Phys. Rev. B
32
, 6045
–6047
(1985
).21.
A.
Eguiluz
and A. A.
Maradudin
, “Electrostatic edge modes along a parabolic wedge
,” Phys. Rev. B
14
, 5526
–5528
(1976
).22.
M.
Debilly
, “On the influence of loading on the velocity of guided acoustic waves propagating in linear elastic wedges
,” J. Acoust. Soc. Am.
100
, 659
–662
(1996
).23.
V. V.
Krylov
, “On the velocities of localized vibration modes in immersed solid wedges
,” J. Acoust. Soc. Am.
103
, 767
–770
(1998
).24.
C.
Yang
and I.
Liu
, “Optical visualization of acoustic wave propagating along the wedge tip
,” Proc. SPIE
8321
, 83211W
(2011
).25.
D.
Bogy
, “Edge-bonded dissimilar orthogonal elastic wedges under normal and shear loading
,” J. Appl. Mech.
35
, 460
–466
(1968
).26.
D.
Bogy
, “Two edge-bonded elastic wedges of different materials and wedge angles under surface tractions
,” J. Appl. Mech.
38
, 377
–386
(1971
).27.
B. V.
Budaev
and D. B.
Bogy
, “Scattering of Rayleigh and Stoneley waves by two adhering elastic wedges
,” Wave Motion
33
, 321
–337
(2001
).28.
E.
Sokolova
, A.
Kovalev
, A.
Maznev
, and A.
Mayer
, “Acoustic waves guided by the intersection of a surface and an interface of two elastic media
,” Wave Motion
49
, 388
–393
(2012
).29.
R.
Stoneley
, “Elastic waves at the surface of separation of two solids
,” Proc. R. Soc. London
106
, 416
–428
(1924
).30.
G. S.
Murty
, “Theoretical model for attenuation and dispersion of Stoneley waves at loosely bonded interface of elastic half spaces
,” Phys. Earth Planet. Int.
11
, 65
–79
(1975
).31.
M.
Schoenberg
, “Elastic wave behavior across linear slip interfaces
,” J. Acoust. Soc. Am.
68
, 1516
–1521
(1980
).32.
L. J.
Pyrak-Nolte
, L.
Myer
, and N. G. W.
Cook
, “Transmission of seismic waves across single natural fractures
,” J. Geophys. Res.
95
(B6
), 8617
–8638
, doi: (1990
).33.
S.
Shao
and L. J.
Pyrak-Nolte
, “Interface waves along fractures in anisotropic media
,” Geophys.
78
(4
), T99
–T112
(2013
).34.
D. L.
Hopkins
, “The implications of joint deformation in analyzing the properties and behavior of fractured rock masses, underground excavations and faults
,” Int. J. Rock Mech. Min. Sci.
37
, 175
–202
(2000
).35.
C.
Petrovitch
, D.
Nolte
, and L. J.
Pyrak-Nolte
, “Scaling of fluid flow versus fracture stiffness
,” Geophys. Res. Lett.
40
, 2076
–2080
, doi: (2013
).36.
R.
Lubbe
, J.
Sothcott
, M. H.
Worthington
and C.
McCann
, “Laboratory estimates of normal and shear fracture compliance
,” Geophys. Prospect.
56
, 239
–247
(2008
).37.
C.
Hobday
and M. H.
Worthington
, “Field measurements of normal and shear fracture compliance
,” Geophys. Prospect.
60
, 488
–499
(2012
).38.
D.
Prikazchikov
, “Rayleigh waves of arbitrary profile in anisotropic media
,” Mech. Res. Comm.
50
, 83
–86
(2013
).39.
W.
Ludwig
and B.
Lengeler
, “Surface waves and rotational invariance in lattice theory
,” Solid State Commun.
2
, 83
–86
(1964
).40.
Lord
Rayleigh
, “On waves propagated along the plane surface of an elastic solid
,” Proc. R. Soc. London A
17
, 4
–11
(1885
).41.
L. J.
Pyrak-Nolte
and D. D.
Nolte
, “Wavelet analysis of velocity dispersion of elastic interface waves propagating along a fracture
,” Geophys. Res. Lett.
22
(11
), 1329
–1332
, doi: (1995
).42.
L. J.
Pyrak-Nolte
, J.
Xu
, and G.
Haley
, “Elastic interface waves propagating in a fracture
,” Phys. Rev. Lett.
68
(24
), 3650
–3653
(1992
).43.
P.
Vinh
and R. W.
Ogden
, “On formulas for the Rayleigh wave speed
,” Wave Motion
39
, 191
–197
(2004
).44.
P.
Chadwick
, “The existence of pure surface modes in elastic materials with orthorhombic symmetry
,” J. Sound Vib.
47
(1
), 39
–52
(1976
).© 2013 Acoustical Society of America.
2013
Acoustical Society of America
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