Identification of embedded cracks using back-propagating elastic waves

This paper presents a theoretical study of identifying multiple cracks in plane elastic media using surface signals induced by applied dynamic excitation. The focus of this study is to develop a quantitative understanding of the relation between surface signals and the location and characteristics of embedded cracks. An elastodynamic analysis is first conducted using Fourier transform to separate the surface response due to waves scattered by cracks from the total surface signals. The obtained scattered wave signal is used as the boundary condition to regenerate waves scattered from the cracks in the elastic medium. An imaging technique is then used to determine the sizes, shapes and positions of existing cracks. Typical numerical simulation results are presented to show the feasibility and accuracy of the current method.

[1]  F. Yuan,et al.  Prestack reverse-time migration in structural health monitoring , 2000 .

[2]  M. Fink,et al.  Time-reversal acoustics in biomedical engineering. , 2003, Annual review of biomedical engineering.

[3]  Vilmos Komornik,et al.  Upper and lower estimates in determining point sources in a wave equation , 2002 .

[4]  A. C. Okafor,et al.  Delamination Prediction in Composite Beams with Built-In Piezoelectric Devices Using Modal Analysis and Neural Network , 1996 .

[5]  J. T. Kuo,et al.  Kirchhoff elastic wave migration for the case noncoincident source and receiver , 1984 .

[6]  Constantinos Soutis,et al.  Damage detection in composite materials using lamb wave methods , 2002 .

[7]  J. Achenbach.  Wave propagation in elastic solids , 1962 .

[8]  D. Inman,et al.  Health monitoring and active control of composite structures using piezoceramic patches , 1999 .

[9]  René Marklein,et al.  Linear and nonlinear inversion algorithms applied in nondestructive evaluation , 2002 .

[10]  Ning Hu,et al.  Structural damage identification using piezoelectric sensors , 2002 .

[11]  I. Lee,et al.  UNIFIED BOUNDARY FOR FINITE DYNAMIC MODELS , 1976 .

[12]  Jan Drewes Achenbach,et al.  Quantitative nondestructive evaluation , 2000 .

[13]  W. Lord,et al.  A finite-element study of ultrasonic wave propagation and scattering in an aluminum block , 1988 .

[14]  Nicholas J. Carino,et al.  A Point Source-Point Receiver, Pulse-Echo Technique for FlawDetection in Concrete , 1986 .

[15]  G. McMechan,et al.  Pre-stack reverse-time migration for elastic waves with application to synthetic offset vertical seismic profiles , 1986, Proceedings of the IEEE.

[16]  Fuh-Gwo Yuan,et al.  Detection of Multiple Damages by Prestack Reverse-Time Migration , 2001 .

[17]  Guoliang Huang,et al.  Wave Propagation in Electromechanical Structures: Induced by Surface-Bonded Piezoelectric Actuators , 2001 .

[18]  Fu-Kuo Chang,et al.  Identifying Delamination in Composite Beams Using Built-In Piezoelectrics: Part I—Experiments and Analysis , 1995 .

[19]  N. N. Kishore,et al.  Features of ultrasonic wave propagation to identify defects in composite materials modelled by finite element method , 1996 .

[20]  C. Rogers,et al.  Modeling of the Electro-Mechanical (E/M) Impedance Response of a Damaged Composite Beam , 1999, Adaptive Structures and Material Systems.

[21]  A. Boström,et al.  Ultrasonic wave propagation through a cracked solid , 1995 .

[22]  Mathias Fink,et al.  Acoustic time-reversal mirrors , 2001 .

[23]  Paul Docherty,et al.  A brief comparison of some Kirchhoff integral formulas for migration and inversion , 1991 .

[24]  J. Achenbach,et al.  Self-Focusing of Rayleigh Waves and Lamb Waves with a Linear Phased Array , 1997 .

[25]  T.‐T. Wu,et al.  Application of transient elastic waves to the nondestructive evaluation of plate structure with cavity or inclusion , 1993 .

[26]  L. Fu.  Mechanics aspects of NDE by sound and ultrasound , 1982 .

[27]  Mathias Fink.  Time-reversal mirrors , 1993 .