Blind inversion method using Lamb waves for the complete elastic property characterization of anisotropic plates

Journal of the Acoustical Society of America

Volumn 125, Issue 2, 2009, Pages 761-771

  Vishnuvardhan, J ^a   Krishnamurthy, C V ^a   Balasubramaniam, Krishnan ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY MADRAS   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPIC PLATES; BLIND INVERSIONS; COMPACT ARRAYS; DATA SETS; DOUBLE-RING CONFIGURATIONS; ELASTIC PROPERTIES; ISOTROPIC GRAPHITES; LAMB WAVES; MATERIAL CHARACTERIZATIONS; MATERIAL SYMMETRIES; MODE VELOCITIES; MONOCLINIC SYMMETRIES; MULTIPLE RECEIVERS; PLANE ORIENTATIONS; PLATE-LIKE STRUCTURES; STRUCTURAL HEALTHS; TRANSVERSELY ISOTROPIC;

ANISOTROPY; EPOXY RESINS; GRAPHITE; MATERIALS; PLATES (STRUCTURAL COMPONENTS); STRUCTURAL HEALTH MONITORING; ULTRASONIC APPLICATIONS; ULTRASONIC WAVES;

ELASTIC MODULI;

ALGORITHMS; ANISOTROPY; COMPUTER SIMULATION; ELASTIC MODULUS; EPOXY COMPOUNDS; GRAPHITE; LASER-DOPPLER FLOWMETRY; MATERIALS TESTING; MODELS, THEORETICAL; REPRODUCIBILITY OF RESULTS; ROTATION; ULTRASONICS;

EID: 59849127965     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.3050253     Document Type: Article

References (38)

1. P. D. Wilcox, M. Lowe, and P. Cawley, " Lamb and SH wave transducer arrays for the inspection of large areas of thick plates.," Rev. Prog. Quant. Nondestr. Eval. 19A, 1049-1056 (1999).
2. P. D. Wilcox, " Guided wave beam steering from omnidirectional transducer arrays.," Rev. Prog. Quant. Nondestr. Eval. 22A, 761-768 (2002).
3. P. D. Wilcox, " Omnidirectional guided wave transducer arrays for the rapid inspection of large areas of plate structures.," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 50, 699-709 (2003).
4. R. Jagannathan, K. Balasubramaniam, and C. V. Krishnamurthy, " A single transmitter multi-receiver (STMR) PZT array for guided ultrasonic wave based structural health monitoring of large isotropic plate structures.," Smart Mater. Struct. 15, 1190-1196 (2006).
5. H. Sohn, G. Park, J. R. Wait, N. P. Limback, and C. R. Farrar, " Wavelet-based active sensing for delamination detection in composite structures.," Smart Mater. Struct. 13, 153-160 (2004).
6. R. Jagannathan, K. Balasubramaniam, and C. V. Krishnamurthy, " A phase reconstruction algorithm for Lamb wave based structural health monitoring of anisotropic multilayered composite plates.," J. Acoust. Soc. Am. 119, 872-878 (2005).
7. J. Vishnuvardhan, A. Muralidharan, C. V. Krishnamurthy, and K. Balasubramaniam, " SHM of orthotropic plates through an ultrasonic guided wave STMR array patch.," Rev. Prog. Quant. Nondestr. Eval. 27, 1445-1452 (2007).
8. A. Muralidharan, K. Balasubramaniam, and C. V. Krishnamurthy, " A migration based reconstruction algorithm for the imaging of defects in a plate using a compact array.," Smart Structures and Systems 4, 400-415 (2008).
9. P. M. V. Subbarao, P. Munshi, and K. Muralidhar, " Performance of iterative tomographic algorithms applied to non-destructive evaluation with limited data.," NDT & E Int. 30, 359-370 (1996).
10. S. Mahadev Prasad, K. Balasubramaniam, and C. V. Krishnamurthy, " Structural health monitoring of composite structures using Lamb wave tomography.," Smart Mater. Struct. 13, N73-N79 (2004).
11. J. L. Rose, Ultrasonic Waves in Solid Media (Cambridge University Press, Cambridge, 1999).
12. A. H. Nayfeh, Wave Propagation in Layered Anisotropic Media With Application to Composites (Elsevier, Amsterdam, 1995).
13. J. E. Michaels, A. J. Croxford, and P. D. Wilcox, " Imaging algorithms for locating damage via in situ ultrasonic sensors.," IEEE Sensors Application Symposium (2008), pp. 63-67.
14. T. E. Michaels and J. E. Michaels, " Sparse ultrasonic transducer array for structural health monitoring.," Rev. Prog. Quant. Nondestr. Eval. 23, 1468-1475 (2004).
15. P. D. Wilcox, G. Konstantinidis, A. J. Croxford, and B. W. Drinkwater, " Strategies for guided wave structural health monitoring.," Rev. Prog. Quant. Nondestr. Eval. 26, pp. 1469-1476 (2006).
16. J. Vishnuvardhan, C. V. Krishnamurthy, and K. Balasubramaniam, " Determination of material symmetries from ultrasonic velocity measurements: A genetic algorithm based blind inversion method.," Compos. Sci. Technol. 68, 862-871 (2008).
17. C. K. Jen, J. F. Bussiere, G. W. Farnell, E. L. Adler, and M. Esonu, " Elastic constants evaluation using the dispersive property of acoustic waves.," Rev. Prog. Quant. Nondestr. Eval. 4, 889-900 (1984).
18. W. P. Rogers, " Elastic property measurement using Rayleigh-Lamb waves.," Res. Nondestruct. Eval. 6, 185-208 (1995).
19. M. R. Karim, A. K. Mal, and Y. Bar-Cohen, " Inversion of leaky Lamb wave data by simplex algorithm.," J. Acoust. Soc. Am. 88, 482-491 (1990).
20. S. I. Rokhlin and D. E. Chimenti, " Reconstruction of elastic constants from ultrasonic reflectivity data in a fluid coupled composite plate.," Rev. Prog. Quant. Nondestr. Eval. 9B, 1411-1418 (1990).
21. S. I. Rokhlin, C. Y. Wu, and L. Wang, " Application of coupled ultrasonic plate modes for elastic constant reconstruction of anisotropic composites.," Rev. Prog. Quant. Nondestr. Eval. 9B, 1403-1410 (1990).
22. N. S. Rao, " Inverse problems in ultrasonic non-destructive characterization of composite materials using genetic algorithm.," MS thesis, Mississippi State University, Mississippi State, MS (1997).
23. J. Vishnuvardhan, C. V. Krishnamurthy, and K. Balasubramaniam, " Genetic algorithm based reconstruction of the elastic moduli of orthotropic plates using an ultrasonic guided wave single-transmitter-multiple-receiver SHM array.," Smart Mater. Struct. 16, 1639-1650 (2007).
24. D. E. Goldberg, Genetic Algorithms in Search, Optimization, and Machine Learning (Addison-Wesley, Reading, MA, 1989).
25. W. P. Ralph, " Optimization for engineering systems.," http://www.mpri.lsu.edu/bookindex.html (Last viewed October, 2008).
26. P. A. W. Lewis and E. J. Orav, Simulation Methodology for Statisticians, Operations Analysts, and Engineers (CRC, Boca Raton, FL, 1989).
27. D. G. Isaak, I. Ohno, and P. C. Lee, " The elastic constants of monoclinic single-crystal chrome-diopside to 1300K.," Phys. Chem. Miner. 32, 691-699 (2006).
28. S. C. Cowin and M. M. Mehrabadi, " On the identification of material symmetry for anisotropic elastic materials.," Q. J. Mech. Appl. Math. 40, 451-476 (1987).
29. S. C. Cowin, " Properties of the anisotropic elasticity tensor.," Q. J. Mech. Appl. Math. 42, 249-266 (1989).
30. M. Sun, " Optical recovery of elastic properties for a general anisotropic material through ultrasonic measurements.," MS thesis, University of Maine, Orono, ME (2002).
31. J. Vishnuvardhan, C. V. Krishnamurthy, and K. Balasubramaniam, " Genetic algorithm based reconstruction of elastic constants of orthotropic fibre-reinforced composite plates from ultrasonic velocity data from a single non-symmetry plane.," Composites, Part B 38, 216-227 (2007).
32. T. D. Lhermitte and B. Perrin, " Anisotropy of the elastic properties of crossply fiber-reinforced composite materials.," Proc.-IEEE Ultrason. Symp. 2, 825-830 (1991).
33. S. I. Rokhlin and W. Wang, " Double through-transmission bulk wave method for ultrasonic phase velocity measurement and determination of elastic constants of composite materials.," J. Acoust. Soc. Am. 91, 3303-3312 (1992).
34. A. G. Every and W. Sachse, " Sensitivity of inversion algorithms for recovering elastic constants of anisotropic solids from longitudinal wave speed data.," Ultrasonics 30, 43-48 (1992).
35. Y. C. Chu and S. I. Rokhlin, " Stability of determination of composite moduli from velocity data in planes of symmetry for weak and strong anisotropies.," J. Acoust. Soc. Am. 95, 213-225 (1994).
36. Y. C. Chu, A. D. Degtyar, and S. I. Rokhlin, " On determination of orthotropic material moduli from ultrasonic velocity data in non-symmetry planes.," J. Acoust. Soc. Am. 95, 3191-3202 (1994).
37. C. Aristegui and S. Baste, " Optimal recovery of the elasticity tensor of general anisotropic material from ultrasonic velocity data.," J. Acoust. Soc. Am. 101, 813-833 (1997).
38. K. Balasubramaniam and N. S. Rao, " Inversion of composite material elastic constants from ultrasonic bulk wave phase velocity data using genetic algorithms.," Composites, Part B 29B, 171-180 (1998).