The Lamb Wave Equation in a Composite Plate with Anisotropy

이방성 복합재료 판에서의 램파 방정식

  • Received : 2009.09.07
  • Accepted : 2009.11.20
  • Published : 2010.01.05

Abstract

A Lamb wave guided by a plate structure has dispersive characteristics because phase and group velocity change with the variation of frequency and thickness. The Lamb wave has two modes, symmetric and anti-symmetric mode, which propagates symmetrically and non-symmetrically with respect to centerline. In this paper, the derivation of Lamb wave equation with anisotropic material property is investigated. The phase velocity and group velocity dispersion curves are shown using the stiffness matrix of composite materials with the variation of angle.

Keywords

References

  1. H. Lamb, "On Waves in an Elastic Plate", Proc. of the Royal Soc. London, Series A. Vol. 93, pp. 114-128, 1917. https://doi.org/10.1098/rspa.1917.0008
  2. D. C. Worlton, "Experimental Confirmation of Lamb Waves at Megacycle Frequencies", J. Appl. Phys., Vol. 32(6), pp. 967-971, 1961. https://doi.org/10.1063/1.1736196
  3. 조윤호, 유도초음파에 대한 이해와 응용, 한국비파괴검사학회지, Vol. 21(4), pp. 446-460, 2001.
  4. M. J. S. Lowe, D. N. Alleyne, P. Cawley, "Defect Detection in Pipes using Guided Waves", Ultrasonics, Vol. 36, pp. 147-154, 1998. https://doi.org/10.1016/S0041-624X(97)00038-3
  5. J. L. Rose, S. P. Pelts, M. J. Quarry, "A Comb Transducer Model for Guided Wave NDE", Ultrasonics, Vol. 36, pp. 163-169, 1998. https://doi.org/10.1016/S0041-624X(97)00042-5
  6. E. V. K. Hill, T, J. Lewis, "Acoustic Emission Monitoring of a Filament-Wound Composite Rocket Motor Case during Hydroproof", Materials Evaluation, Vol. 43(7), pp. 859-863, 1985.
  7. D. J. McNally, "Inspection of Composite Rocket Motor Case Using Acoustic Emission", Materials Evaluation, Vol. 43(6), pp. 728-732, 1985.
  8. M. A. Hamstad and T. T. Chiao, "Structural Integrity of Fiber/Epoxy Vessels by Acoustic Emission", SAMPE Quarterly, Oct., pp. 31-45, 1976.
  9. M. R. Gorman, "Burst Prediction by Acoustic Emission in Filament Wound Pressure Vessels", J. of Acoustic Emission, Vol. 9(2), pp. 131-139, 1990.
  10. V. Dayal and V. K. Kinra, "Leaky Lamb Waves in an Anisotropic Plate I : An Exact Solution and Experiments", J. Acoust. Soc. Am., Vol. 85(6) pp. 2268-2276, 1989. https://doi.org/10.1121/1.397772
  11. D. E. Chimenti and A. H. Nayfeh, "Leaky Lamb Waves in Fibrous Composite Laminates", J. Applied Physics, Vol. 58 (12) pp. 4531-4538, 1985. https://doi.org/10.1063/1.336268
  12. R. L. Weaver and Y. H. Pao, "Axisymmetric Elastic Waves Excited by a Point Source in a Plate", J. Applied Mechanics, Vol. 49, pp. 821-836, 1982. https://doi.org/10.1115/1.3162623
  13. W. R. Rose, S. I. Rokhlin and L. Adler, "Evaluation of Anisotropic Properties of Graphite-Epoxy Composite Using Lamb Waves", Rev. of Prog. Quantitative NDE, Vol. 6B, pp. 1111-1118, 1987.