A study of scattering characteristics of S0 and A0 Lamb modes in an infinite isotropic plate with multiple damage is presented in this paper. Both plate theory and the wave function expansion method are utilized to derive the scattered wave field of a single damage. By using the addition theorems of Bessel functions, a complex scattering wave field of multiple damage is investigated. Measurements agreed well between theoretical results and FE simulations. Numerical results of a plate with two damage are graphically presented by considering S0 and A0 modes as an incoming Lamb wave. Effects of geometric properties of damage on the scattering wave field are discussed.
References
1.
Su
, Z. Q.
, and Ye
, L.
, 2009, Identification of Damage Using Lamb Waves: From Fundamentals to Applications
, Springer
, New York and Berlin
.2.
Diligent
, O.
, and Lowe
, M. J. S.
, 2005, “Reflection of the S0 Lamb Mode from a Flat Bottom Circular\Hole
,” J. Acoust. Soc. Am.
, 118
, pp. 2869
–2879
.3.
Diligent
, O.
, Grahn
, T.
, and Bostrom
, A.
, 2002, “The Low-Frequency Reflection and Scattering of the S0 Lamb Mode from a Circular Through-Thickness Hole in a Plate: Finite Element, Analytical and Experimental
,” J. Acoust. Soc. Am.
, 112
, pp. 2589
–2601
.4.
Diligent
, O
. Lowe
, M. J. S.
, Cawley
, P.
, and Wilcox
, P.
, 2003, “Reflection of the S0 Lamb Mode from a Part-Depth Circular Defect in a Plate when the Incident Wave is Created by a Small Source
,” Rev. Prog. Quant. Nondestruct. Eval.
, 22
, pp. 197
–204
.5.
Fromme
, P.
, Wilcox
, P.
, Lowe
, M.
, and Cawley
, P.
, 2004, “On the Scattering and Mode Conversion of the A0 Lamb Wave Mode at Circular Defects in Plates
,” Rev. Prog. Quant. Nondestruct. Eval.
, 23
, pp. 142
–149
.6.
Fromme
, P.
, and Sayir
, M. B.
, 2002, “Measurement of the Scattering of a LambWave by a Through Hole in a Plate
,” J. Acoust. Soc. Am.
, 111
, pp. 1165
–1170
.7.
Cegla
, F. B.
, and Veidt
, M.
, 2007, “Prediction and Direct Measurement of Scattered Plate-Wave Fields using S0 to A0 mode Conversion at Non-Symmetric Circular Inhomogeneities
,” Rev. Prog. Quant. Nondestruct. Eval.
, 26
, pp. 63
–70
.8.
Clarke
, T.
, Simonetti
, F.
, Rokhlin
, S.
, and Cawley
, P.
, 2008, “Evaluation of the Temperature Stability of a Low-Frequency A0 Mode Transducer Developed for SHM Applications
,” Rev. Prog. Quant. Nondestruct. Eval.
, 27
, pp. 910
–917
.9.
Grondel
, S.
, Paget
, C.
, and Delebarre
, C.
, 2002, “Design of Optimal Configuration for Generating A0 Lamb Mode in a Composite Plate using Piezoceramic Transducers
,” J. Acoust. Soc. Am.
, 112
, pp. 84
–90
.10.
Grahn
, T.
, 2003, “Lamb Wave Scattering from a Circular Partly Through-Thickness Hole in a Plate
,” Wave Motion
, 37
, pp. 63
–80
.11.
Mckeon
, J. C. P.
, and Hinders
, M. K.
, 1999, “Lamb Wave Scattering from a Through Hole
,” J. Sound Vib.
, 224
, pp. 843
–862
.12.
Wang
, C. H.
, and Chang
, F-K.
, 2005, “Scattering of Plate Waves by a Cylindrical Inhomogeneity
,” J. Sound Vib.
, 282
, pp. 429
–451
.13.
Vemula
, C.
, and Norris
, A. N.
, 1997, “Flexural Wave Propagation and Scattering on Thin Plates using Mindlin Theory
,” Wave Motion
, 26
, pp. 1
–12
.14.
Benmeddour
, F.
, Grondel
, S.
, Assaad
, J.
, and Moulin
, E.
, 2008, “Study of the Fundamental Lamb Modes Interaction with Symmetrical Notches
,” NDT&E Int.
, 41
, pp. 1
–9
.15.
Benmeddour
, F.
, Grondel
, S.
, Assaad
, J.
, and Moulin
, E.
, 2008, “Study of the Fundamental Lamb Modes Interaction with Asymmetrical Discontinuities
,” NDT&E Int.
, 41
, pp. 330
–340
.16.
Deng
, Q. T.
, and Yang
, Z. C.
, 2011, “Scattering of S0 Lamb Mode in a Plate with Multiple Damage
,” Appl. Math. Model.
, 35
, pp. 550
–562
.Copyright © 2012
by American Society of Mechanical Engineers
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