Analysis of wave propagation in beams with transverse and lateral cracks using a weakly formulated spectral method

Journal of Applied Mechanics, Transactions ASME

Volumn 74, Issue 1, 2007, Pages 119-127

  Hu, N ^a   Fukunaga, H ^a   Kameyama, M ^a   Mahapatra, D Roy ^b   Gopalakrishnan, S ^b  

^a TOHOKU UNIVERSITY   (Japan)

^b INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

BEAMS AND GIRDERS; CRACKS; DAMAGE DETECTION; INTERPOLATION; SHEAR DEFORMATION; SPECTRUM ANALYSIS;

ELASTODYNAMICS; HYBRID SPECTRAL ELEMENT (HSE) METHODS; SHEAR DEFORMATION THEORY; WAVE NUMBERS;

ELECTROMAGNETIC WAVE PROPAGATION;

EID: 34248218030     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2188015     Document Type: Article

References (16)

1. Cawley, P., Adams, R. D., Pye, C. J., and Stone, B. J., 1978, "A Vibration Technique for Non-Destructively Assessing the Integrity of Structures," J. Mech. Eng. Sci., 20(2), pp. 93-100.
2. Hu, N., Wang, X., Fukunaga, H., Yao, Z. H., Zhang, H. X., and Wu, Z. S., 2001, "Damage Assessment of Structures Using Modal Test Data," Int. J. Solids Struct., 38, pp. 3111-3126.
3. Fukunaga, H., Hu, N., and Chang, F. K., 2002, "Structural Damage Identification Using Piezoelectric Sensors," Int. J. Solids Struct., 39, pp. 393-418.
4. Maslov, K., and Kundu, T., 1997, "Selection of Lamb Modes for Detecting Internal Defects in Composite Laminates," Ultrasonics, 35(2), pp. 141-150.
5. Ghosh, T., Kundu, T., and Karpur, P., 1998, "Efficient Use of Lamb Modes for Detecting Defects in Large Plates," Ultrasonics, 36(7), pp. 791-801.
6. Toyama, N., and Takatsubo, J., 2004, "Lamb Wave Method for Quick Inspection of Impact-Induced Delamination in Composite Laminates," Compos. Sci. Technol., 64(9), pp. 1293-1300.
7. Karim, M. R., Awal, M. A., and Kundu, T., 1992, "Elastic Wave Scattering by Cracks and Inclusions in Plates: In Plane Case," Int. J. Solids Struct., 29, pp. 2355-2367.
8. Mal, A. K., and Chang, Z., 2000, "A Semi-Numerical Method for Elastic Wave Scattering Calculations," Geophys. J. Int., 143, pp. 328-334.
9. Mahapatra, D. R., and Gopalakrishnan, S., 2003, "A Spectral Finite Element Model for Analysis of Axial-Flexural-Shear Coupled Wave Propagation in Laminated Composite Beams," Compos. Struct., 59, pp. 67-88.
10. Nag, A., Mahapatra, D. R., and Gopalakrishnan, S., and Sankar, T. S., "A Spectral Finite Element With Embedded Delamination for Modeling of Wave Scattering in Composite Beams," Compos. Sci. Technol., (in press).
11. Mahapatra, D. R., and Gopalakrishnan, S., 2004, "Spectral Finite Element Analysis of Coupled Wave Propagation in Composite Beams With Multiple Delaminations and Strip Inclusions," Int. J. Solids Struct., 41, pp. 1173-1208.
12. Krawczuk, M., Palacz, M., and Ostachowicz, W., 2003, "The Dynamic Analysis of a Cracked Timoshenko Beam by the Spectral Element Method," J. Sound Vib., 264, pp. 1139-1153.
13. Laghrouche, O.. Bettess, P., and Astley, R. J., 2001, "Modelling of Short Wave Diffraction Problems Using Approximating Systems of Plane Waves," Int. J. Numer. Methods Eng., 54, pp. 1501-1533.
14. Melenk, J. M., and Babuška, I., 1996, "The Partition of Unity Finite Element Method: Basic Theory and Application," Comput. Methods Appl. Mech. Eng., 139, pp. 289-314.
15. Gopalakrishnan, S., and Doyle, J. F., 1995, "Spectral Super-Elements for Wave Propagation in Structures With Local Non-Uniformities," Comput. Methods Appl. Mech. Eng., 121, pp. 77-90.
16. Halliday, P. J., and Grosh, K., 1999, "Dynamic Response of Complex Structural Interconnections Using Hybrid Methods," ASME J. Appl. Mech., 66, pp. 653-659.