Acousto-ultrasonic input-output characteristics for contact-type transmitting and receiving transducers coupled to a thin orthotropic composite plate are analyzed in this paper. By introducing the point source/point receiver assumption, the governing equations of the problem, which relates to wave generation, wave propagation and wave reception, are first established. Using the multiple integral transform method, contour integration technique and some complex function theories, a spectral analysis method which is completely different from the present wave path tracing method for this problem is developed. From this approach, the spectral response of the normal contact force between the receiving transducer and the plate, due to an arbitrary input interrogation pulse excited by the transmitting transducer, is expressed in explicit form. Based on this, some physical properties involved with the output of the receiver are examined in the frequency domain. Finally, combining the fast Fourier transform (FFT) technique, some time domain numerical results are calculated to show the input-output characteristics of the AU system considered.

1.
Ceranoglou
A. N.
, and
Pao
Y. H.
,
1981
, “
Propagation of Elastic Pulses and Acoustic Emission in a Plate, Parts I—III
,”
ASME Journal of Applied Mechanics
, Vol.
48
, pp.
125
147
.
2.
Datta, S. K., Ledbetter, H. M., and Shah, A. H., 1988, “Ultrasonic Velocity Studies of Composite and Heterogeneous Materials,” Acousto-Ultrasonics Theory and Application, Duke, J. C., ed., Plenum Press, New York and London, pp. 93–110.
3.
Ditri
J. J.
, and
Rose
J. L.
,
1994
, “
Excitation of Guided Waves in Generally Anisotropic Layers Using Finite Sources
,”
ASME Journal of Applied Mechanics
, Vol.
61
, pp.
330
338
.
4.
dos Reis Henrique, L. M., 1991, “Acousto-Ultrasonic Evaluation of Ceramic Matrix Composite Materials,” NASA CR 187073.
5.
Duke, J. C., Henneke, E. G., Kiernan, M. T., and Grosskopf, P. P., 1989, “A Study of the Stress Wave Factor Technique for Evaluation of Composite Materials,” NASA CR 4195.
6.
Gorman
M. R.
, and
Prosser
W. H.
,
1996
, “
Application of Normal Mode Expansion to Acoustic Emission Waves in Finite Plates
,”
ASME Journal of Applied Mechanics
, Vol.
63
, pp.
555
557
.
7.
Gradshteyn, I. S., and Ryzhik, I. M., 1980, Table of Integrals, Series, and Products, Academic Press, New York.
8.
Green
E. R.
,
1991
, “
Transient Impact Response of a Fiber Composite Laminate
,”
Acta Mechanica
, Vol.
86
, pp.
153
165
.
9.
Gross
D.
, and
Zhang
C.
,
1992
, “
Wave Propagation in Damaged Solids
,”
International Journal of Solids and Structures
, Vol.
29
, pp.
1763
1779
.
10.
Henneke, E. G., Duke, J. C., and Stiffler, R. C., 1987, “Characterizing the Damage State of Composite Laminates via the Acousto-Ultrasonic Technique,” Solid Mechanics Research for Quantitative Non-Destructive Evaluation, Martinus Njjhoff Publishers, Dordrecht, Netherlands, pp. 217–235.
11.
Karagulle
H.
,
Williams
J. H.
, and
Lee
S. S.
,
1986
, “
Stress Waves in Isotropic Elastic Plate Excited by Circular Transducer
,”
Materials Evaluation
, Vol.
44
, pp.
455
462
.
12.
Karunasena
W.
,
Shah
A. H.
, and
Datta
S. K.
,
1991
, “
Wave Propagation in a Multilayered Laminated Cross-Ply Composite Plate
,”
ASME Journal of Applied Mechanics
, Vol.
58
, pp.
1028
1032
.
13.
Kautz
H. E.
, and
Lerch
B. A.
,
1991
, “
Preliminary Investigation of Acousto-Ultrasonic Evaluation of Metal-Matrix Composite Specimens
,”
Materials Evaluation
, Vol.
49
, pp.
607
612
.
14.
Kim, I., Huang, H. A., Hahn, H. T., and Bakis, C. E., 1992, “Wave Dispersion in Thick Composite Laminates,” Proceedings of Second International Symposium on Composite Materials and Structures, Beijing, pp. 610–615.
15.
Liao, P., and Williams, J. H., 1988, “Acousto-Ultrasonic Input-Output Characterization of Unidirectional Fiber Composite Plate by SV Waves,” NASA CR 4152.
16.
Liao, P., and Williams, J. H., 1988, “Acousto-Ultrasonic Input-Output Characterization of Unidirectional Fiber Composite Plate by SV Waves,” NASA CR 4162.
17.
Lih
S. S.
, and
Mal
A. K.
,
1992
, “
Elastodynamic Response of a Unidirectional Composite Laminate to Concentrated Surface Loads: part II
,”
ASME Journal of Applied Mechanics
, Vol.
59
, pp.
887
892
.
18.
Liu
G. R.
,
Tani
J.
,
Ohyoshi
T.
, and
Watanabe
K.
,
1991
, “
Transient Waves in Anisotropic Laminated Plates, part I: Theory
,”
ASME JOURNAL OF VIBRATION AND ACOUSTICS
, Vol.
113
, pp.
230
234
.
19.
Liu
G. R.
,
Tani
J.
,
Ohyoshi
T.
, and
Watanabe
K.
,
1991
, “
Transient Waves in Anisotropic Laminated Plates, part II; Application
,”
ASME JOURNAL OF VIBRATION AND ACOUSTICS
, Vol.
113
, pp.
235
239
.
20.
Liu
T.
, and
Zhang
X.
,
1994
, “
Response of a Disk Mass on a Half-Space to Dilatational Waves
,”
ASME Journal of Applied Mechanics
, Vol.
61
, pp.
722
724
.
21.
Lorenzo, L., and Hahn, H. T., 1988, “Damage Assessment by Acousto-Ultrasonic Technique in Composites,” Composite materials: Testing and Design, ASTM STP 972, pp. 380–397.
22.
Mal
A. K.
, and
Lih
S. S.
,
1992
, “
Elastodynamic Response of a Unidirectional Composite Laminate to Concentrated Surface Loads: part I
,”
ASME Journal of Applied Mechanics
, Vol.
59
, pp.
878
886
.
23.
Medick
M. A.
,
1961
, “
On Classical Plate Theory and Wave Propagation
,”
ASME Journal of Applied Mechanics
, Vol.
28
, pp.
223
228
.
24.
Pelts
S.
, and
Rose
J. L.
,
1996
, “
Source Influence Parameters on Elastic Guided Waves in an Orthotropic Plate
,”
Journal of Acoustical Society of America
, Vol.
99
, No.
4
, pp.
2124
2129
.
25.
Rose, J. L., Ditri, J. J., and Pilarski, A., 1993, “Source Influences on the Excitation of Guided Elastic Waves in Anisotropic Layers,” Proc. 9th Internat. Conf. on Composite Materials (ICCM-9), Madrid, Spain, pp. 811–818.
26.
Rose
J. L.
,
Ditri
J. J.
, and
Pilarski
A.
,
1994
, “
Wave Mechanics in Acousto-Ultrasonic Nondestructive Evaluation
,”
Journal of Acousto Emission
, Vol.
12
, No.
12
, pp.
23
26
.
27.
Sneddon, I. N., 1951, Fourier Transforms, McGraw-Hill, New York.
28.
Tang, B., Henneke, E. G., and Stiffler, R. C., 1988, “Low Frequency Flexural Wave Propagation in Laminated Composite Plates,” Acousto-Ultrasonics Theory and Application, Duke, J. C., ed., Plenum Press, New York and London, pp. 45–66.
29.
Tang
B.
,
Liu
C. T.
, and
Henneke
E. G.
,
1995
, “
Acousto-Ultrasonic Technique Applied to Filled-Polymer Damage Assessment
,”
Journal of Spacecraft and Rockets
, Vol.
32
, No.
5
, pp.
866
869
.
30.
Tiwari
A.
,
Henneke
E. G.
, and
Reifsnider
K. G.
,
1995
, “
Damage Characterization of a Cross-Ply SiC/CAS-II Ceramic Composite Under Fatigue Loading Using a Real-Time Acousto-Ultrasonic NDE Technique
,”
Journal of Composites Technology and Research
, Vol.
17
, No.
3
, pp.
221
227
.
31.
Vary
A.
, and
Bowles
K. J.
,
1979
, “
An Acousto-Ultrasonic Technique for Nondestructive Evaluation of Fiber Composite Quality
,”
Polymer Engineering Science
, Vol.
19
, No.
5
, pp.
373
376
.
32.
Vary
A.
,
1991
, “
Acousto-Ultrasonics: Retrospective Exhortation with Bibliography
,”
Materials Evaluation
, Vol.
49
, pp.
581
591
.
33.
Veidt
M.
, and
Sachse
W.
,
1994
, “
Ultrasonic Point Source/Point Receiver Measurements in Thin Specimens
,”
The Journal of the Acoustical Society of America
, Vol.
96
, pp.
2318
2326
.
34.
Veidt
M.
, and
Sachse
W.
,
1993
, “
Ultrasonic Evaluation of Thin, Fiber-Reinforced Laminates
,”
Journal of Composite Materials
, Vol.
28
, pp.
329
342
.
35.
Weaver
R.
, and
Pao
Y. H.
,
1982
, “
Axisymmetric Elastic Waves Excited by a Point Source in a Plate
,”
ASME Journal of Applied Mechanics
, Vol.
49
, pp.
821
836
.
36.
Weaver
R. L.
,
Sachse
W.
, and
Kim
K. K.
,
1996
, “
Transient Elastic Waves in a Transversely Isotropic Plate
,”
ASME Journal of Applied Mechanics
, Vol.
63
, pp.
337
346
.
37.
Williams
J. H.
, and
Doll
B.
,
1980
, “
Ultrasonic Attenuation as an Indicator of Farigue Life of Graphite Fiber Epoxy Composites
,”
Materials Evaluation
, Vol.
38
, No.
5
, pp.
33
37
.
38.
Williams
J. H.
,
Karagulle
J. H.
, and
Lee
S. S.
,
1982
, “
Ultrasonic Input-Output for Transmitting and Receiving Longitudinal Transducers Coupled to Same Face of Isotropic Elastic Plate
,”
Materials Evaluation
, Vol.
40
, pp.
655
662
.
39.
Williams, J. H., 1987, “Acousto-Ultrasonic Input-Output Characterization of Unidirectional Fiber Composite Plate by SH Waves,” NASA CR 4087.
40.
Zhang
Z.
, and
Gross
D.
,
1993
, “
Wave Attenuation and Dispersion in Randomly Cracked Solids—I. Slit Cracks
,”
International Journal of Engineering Science
, Vol.
31
, pp.
841
858
.
41.
Zhang
Z.
, and
Gross
D.
,
1993
, “
Wave Attenuation and Dispersion in Randomly Cracked Solids—II. Penny-Shaped Cracks
,”
International Journal of Engineering Science
, Vol.
31
, pp.
841
858
.
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