Abstract
The current paper provides a theoretical study of elastic wave propagation in a cracked elastic medium induced by an embedded piezoelectric actuator. The formulation of the problem is based on a newly developed actuator model and the solution of coupled crack and actuator problems. The interaction between an actuator and a crack is studied to develop basic understanding of the effect of the crack upon the wave field generated. The resulting wave field is used to simulate 'sensor signals'. Scattered wave from the crack is then regenerated by solving a reverse elastodynamic problem and used in an imaging technique to identify the crack.
Similar content being viewed by others
References
Berkhout, A.J. (1985). Seismic migration: imaging of acoustic energy by wave field extrapolation A. theoretical aspects, Elsevier science publishers, Netherland.
Boller, C. (2000). Next Generation Structural Health Monitoring and its Integration into Aircraft Design. International Journal of Systems Science 31, 1333–1349.
Charles, H., Keilers, J. and Change, F.K. (1995). Identification delamination in composite beams using builtin piezoelectrics: Part I experiment and analysis. Journal of Intelligent Material and Structural System 6, 649–663.
Datta, D. and Kishore, N. N. (1996). Features of ultrasonic wave propagation to identify defects in composite materials modelled by finite element method. NDT and E International 4, 213–223.
Deutsch, W., Cheng, J. and Achanbach, J. (1997). Self-focusing of rayleigh waves and lamb waves with a linear phased array. Research on Nondestructive Evaluation 9, 81–95.
Docherty, P. (1991). A brief comparison of some Kirchhoff integral formulas for migration and inversion. Geophysics 56, 1164–1169.
Fink, M. (1993). Time reverse mirror. Journal of Physics D: Applied Physics 26, 1333–1350.
Fukunaga, H., Hu, N. and Change, F.K. (2002). Structural damage identification using piezoelectric sensors. International Journal of Solids and Structures 39, 393–418.
Giurgiutiu, V., Bao, J. and Zhao, W. (2001). Active Sensor Wave Propagation Health Monitoring of Beam and Plate Structures. Proceedings of the 8th International SPIE Symposium on Smart Structures and Materials Newport Beach, CA.
Giurgiutiu, V. and Roger, C.A. (1999). Modelling of the electro-mechanical (E/M) impedance response of a damaged composite beam. Adaptive Structures and Materials Systems 87, 39–46.
Gross, D. and Zhang, C.H. (1988). Diffraction of SH waves by a system of cracks: solution by an integral equation method. International Journal of Solids and Structures 24, 41–49.
Hagood, N.W., Chung, W.H. and Von Flotow, A. (1990). Modelling of piezoelectric actuator dynamics for active structural control, Journal of Intelligent Material Systems and Structures 1, 327–354.
Keilers, C.H. and Change, F.K. (1995a). Identification delamination in composite beams using built-in piezoelectrics: Part I-experimental and analysis. Journal of Intelligent Material Systems and Structures 6, 649–663.
Keilers, C.H. and Change, F.K. (1995b). Identification delamination in composite beams using built-in piezoelectrics: Part II-an identification method. Journal of Intelligent Material Systems and Structures 6, 664–679.
Kessler, S.S. and Spearing S.M. 2002. Damage detection in composite materials using Lamb wave methods. Smart Materials and Structures 11, 269–278.
Kuo, T. and Dai, T. (1984). Kirchhoff elastic wave migration for the case of noncoincident source and receiver. Geophysics 49, 1223–1238.
Itou, S. (1980). Diffraction of an antiplane shear wave by two coplanar Griffith crack in an infinite elastic medium. International Journal of Solids and Structures 16, 1147–1153.
Jain, D.L. and Kanwal, R.P. (1972). Diffraction of elastic waves by two coplanar Griffith cracks in an infinite elastic medium. International Journal of Solids and Structures 8, 961–975.
Lee, J.K. and Mal, A.K. (1994). A volume integral equation technique for multiple scattering problems in elastodynamics. Applied Math. and Comp. 67, 135–159.
Lin, X. and Yuan, F.G. (2001). Detection of multiple damages by prestack reverse time migration. AIAA Journal 39(11), 2206–2215.
Mal, A.K. (2001). NDE for health monitoring of aircraft and aerospace structures. 7th ASME NDE Topical Conference 20, 149–155.
Meguid S.A. and Wang X.D. (1994). The dynamic interaction of micro-crack with a main crack under antiplane loading, International Journal of Solids and Structures 31, 1085–1097.
Meguid S.A. and Wang X.D. (1995). On the dynamic interaction between a microdefect and a main crack, Proc. R. Soc. London,Series A 448, 449–464.
Mitchell, J.A. and Reddy, J.N. (1995). A study of embedded piezoelectric layers in composite cylinders. ASME Journal of Applied Mechanics 62, 166–173.
Okafor, A.C., Chandrashekhara, K. and Jiang, Y.P. (1996). Delamination prediction in composite beam with builtin piezoelectric devices using modal analysis and neural network. Smart Materials and Structures 5, 338–347.
Schafbuch, P., Thomason, R.B. and Rizzo, F. (1990). Application of boundary element method to elastic wave scattering by irregular defects. Journal of Nondestructive Evaluation 9, 113–127.
Schulz, M.J., Pai, P.F. and Inman, D.J. (1999). Health monitoring and active control of composite structures using piezoelectric patches. Composite Part B 30, 54–72.
Sun, R. and Mcmechan G.A. (1986). Pre-stack reverse time migration for elastic waves with application to synthetic offset vertical seismic profiles. Proceedings of The IEEE 74, 457–465.
Tzou, H.S. and Ye, R. (1994). Piezothermoelasticity and precision control of piezoelectric systems: theory and finite element analysis. Journal of Vibration and Acoustics 116, 489–495.
Wang, X.D. (2000). Coupled electromechanical behaviour of piezoelectric actuators in smart structures. Journal of Intelligent Material Systems and Structures 10, 232–241.
Wang X.D. and Huang G.L. (2001). Wave propagation in electromechanical structures: induced by embedded piezoelectric actuators. Journal of Intelligent Material Systems and Structures 12, 117–125.
Wang X.D. and Meguid S.A. (1997). Diffraction of SH-wave by interacting matrix crack and an inhomogeneity. ASME Journal of Applied Mechanics 64, 568–575.
Wapenaar, C.P.A., Kinneging, N.A. and Berkout, A.J. (1987). Principle of prestack migration based on the full elastic two-way wave equation. Geophysical Prospecting 52, 151–173.
Wu, T. and Gong, J. (1993). Application of transient elastic waves to the nondestructive evaluation of plate structure with cavity or inclusion. Journal of Acoustic Society of American 90(3), 1453–1460.
Zhang, C.H.and Achenbach, J.D. (1989). Time domain boundary element analysis of dyanmic near-tip fields for impact-loaded collinear cracks. Engineering Fracture Mechanics 32, 899–909.
Zhang, C.H. (1992). Elastodynamic analysis of a periodic array of mode III cracks in transversely isotropic solids. ASME Journal of Applied Mechanics 59, 366–371.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wang, X., Huang, G. Study of elastic wave propagation induced by piezoelectric actuators for crack identification. International Journal of Fracture 126, 287–306 (2004). https://doi.org/10.1023/B:frac.0000026580.54400.8a
Issue Date:
DOI: https://doi.org/10.1023/B:frac.0000026580.54400.8a