Shear horizontal (SH) wave propagation in a semi-infinite solid medium surface bonded by a layer of piezoelectric material abutting the vacuum is investigated in this paper. The dispersive characteristics and the mode shapes of the deflection, the electric potential, and the electric displacements in the thickness direction of the piezoelectric layer are obtained theoretically. Numerical simulations show that the asymptotic phase velocities for different modes are the Bleustein surface wave velocity or the shear horizontal wave velocity of the pure piezoelectric medium. Besides, the mode shapes of the deflection, electric potential, and electric displacement show different distributions for different modes and different wave number. These results can be served as a benchmark for further analyses and are significant in the modeling of wave propagation in the piezoelectric coupled structures.

Issue Section:
Technical Papers
Keywords:
wave propagation, friction, creep, piezoelectric materials
Topics:
Deflection, Mode shapes, Piezoelectric materials, Wave propagation, Waves, Electric potential, Displacement, Computer simulation, Surface waves (Fluid), Vacuum, Shear (Mechanics)
1.
Mindlin
,
R. D.
,
1952
, “
Forced Thickness-Shear and Flexural Vibrations of Piezoelectric Crystal Plates
,”
J. Appl. Phys.
,
23
, pp.
83
–
88
.
2.
Tiersten
,
H. F.
,
1963
, “
Thickness Vibrations of Piezoelectric
,”
J. Acoust. Soc. Am.
,
35
, pp.
53
–
58
.
3.
Tiersten
,
H. F.
,
1963
, “
Wave Propagation in an Infinite Piezoelectric Plate
,”
J. Acoust. Soc. Am.
,
35
, pp.
234
–
239
.
4.
Bleustein
,
J. L.
,
1969
, “
Some Simple Modes of Wave Propagation in Infinite Piezoelectric Plates
,”
J. Acoust. Soc. Am.
,
45
, pp.
614
–
620
.
5.
Viktorov, I. A., 1967, Rayleigh and Lamb Waves, Plenum, New York.
6.
Viktorov, I. A., 1981, Surface Waves in Solids, Nauka, Moscow (in Russian).
7.
Curtis
,
R. G.
, and
Redwood
,
M.
,
1973
, “
Transverse Surface Waves in Piezoelectric Materials Carrying a Metal Layer of Finite Thickness
,”
J. Appl. Phys.
,
44
, pp.
2002
–
2007
.
8.
Cheng
,
N. C.
, and
Sun
,
C. T.
,
1975
, “
Wave Propagation in Two-Layered Piezoelectric Plates
,”
J. Acoust. Soc. Am.
,
57
, pp.
632
–
638
.
9.
Sun
,
C. T.
, and
Cheng
,
N. C.
,
1974
, “
Piezoelectric Waves on a Layered Cylinder
,”
J. Appl. Phys.
,
45
, pp.
4288
–
4294
.
10.
Bailey
,
T.
, and
Hubbard
,
J. E.
, Jr.,
1985
, “
Distributed Piezoelectric Polymer Active Vibration Control of a Cantilever Beam
,”
J. Guid. Control Dyn.
,
8
, pp.
605
–
611
.
11.
Kim
,
J.
,
Varadan
,
V. V.
,
Varadan
,
V. K.
, and
Bao
,
X. Q.
,
1996
, “
Finite Element Modeling of a Smart Cantilever Plate and Comparison With Experiments
,”
Smart Mater. Struct.
,
5
, pp.
165
–
170
.
12.
Crawley
,
E. F.
, and
de Luis
,
Javier
,
1987
, “
Use Of Piezoelectric Actuators as Elements of Intelligent Structures
,”
AIAA J.
,
25
, pp.
1373
–
1385
.
13.
Lee
,
C. K.
, and
Moon
,
F. C.
,
1989
, “
Laminated Piezopolymer Plates for Torsion and Bending Sensors and Actuators
,”
J. Acoust. Soc. Am.
,
85
, pp.
2432
–
2439
.
14.
Sun
,
C. T.
, and
Zhang
,
X. D.
,
1995
, “
Use of Thickness Shear Mode in Adaptive Sandwich Structures
,”
Smart Mater. Struct.
,
4
, pp.
202
–
206
.
15.
Varadan
,
V. K.
,
Lim
,
Y. H.
, and
Varadan
,
V. V.
,
1996
, “
Close Loop Finite Element Modeling of Active/Passive Damping in Structural Vibration Control
,”
Smart Mater. Struct.
,
5
, pp.
685
–
694
.
16.
Badcock
,
R. A.
, and
Birt
,
E. A.
,
2000
, “
The Use of 0-3 Piezocomposite Embedded Lamb Wave Sensors for Detection of Damage in Advanced Fibre Composites
,”
Smart Mater. Struct.
,
9
, pp.
291
–
297
.
17.
Monkhouse
,
R. S. C.
,
Wilcox
,
P. W.
,
Dalton
,
R. P.
, and
Cawley
,
P.
,
2000
, “
The Rapid Monitoring of Structures Using Interdigital Lamb Wave Transducers
,”
Smart Mater. Struct.
,
9
, pp.
304
–
309
.
18.
Wang
,
Q.
,
Quek
,
S. T.
, and
Varadan
,
V. K.
,
2001
, “
Love Wave Propagation in Piezoelectric Coupled Media
,”
Smart Mater. Struct.
,
10
, pp.
380
–
388
.
19.
Wang, Q., and Varadan, V. K., 2001, “Wave Propagation in Piezoelectric Coupled Plates by Use of Interdigital Transducer Part 2: Wave Excitation by Interdigital Transducer,” Int. J. Solids Struct., in press.
20.
Parton, V. Z., and Kudryavtser, B. A., 1988, Electromagnetoelasticity, Gordon & Breach, New York.
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