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Existence of zero-group velocity modes in an incompressible plate

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Języki publikacji
EN
Abstrakty
EN
Zero-group velocity (ZGV) Lamb modes are studied in an incompressible orthotropic plate. The existence of such modes critically depends on the anisotropy parameter a = (c11 + c22 − 2c12 − 4c66)/c66. With materials having a > −1, none of the modes possesses any ZGV points and every mode has such a point if a < −1. Several modes have multiple ZGV points.
Słowa kluczowe
Rocznik
Strony
55--65
Opis fizyczny
Bibliogr. 21 poz., rys.
Twórcy
autor
  • Centre for Advanced Mathematics and Physics National University of Sciences and Technology Sector H-12, Islamabad, Pakistan
autor
  • Centre for Advanced Mathematics and Physics National University of Sciences and Technology Sector H-12, Islamabad, Pakistan
Bibliografia
  • 1. W.J. Staszewski, B.C. Lee, R. Traynor, Fatigue detection in metallic structures with Lamb waves and 3D laser vibrometry, Measurement Science and Technology, 18, 727–739, 2007.
  • 2. N. Ryden, C.B. Park, P. Ulriksen, R.D. Miller, Lamb wave analysis for nondestructive testing of concrete plate structures, Proceedings of the Symposium on the Application of Geophysics to Engineering and Environmental Problems (SAGEEP), San Antonio, TX, April 6–10, INF03, 2003.
  • 3. F. Ahmad, Shape of dispersion curves in the Rayleigh-Lamb spectrum, Arch. Mech., 56, 157–165, 2004.
  • 4. I. Tolstoy, E. Usdin, Wave propagation in elastic plates: low and high mode dispersion, J. Acoust. Soc. Am., 29, 37–42, 1957.
  • 5. K. Negishi, Existence of negative group velocities in Lamb waves, Jpn. J. Appl. Phys., Suppl. 26, (1), 171–173, 1987.
  • 6. M.F. Werby, H. Uberall, The analysis and interpretation of some special properties of higher order symmetric Lamb waves: The case for plates, J. Acoust. Soc. Am., 111, 2686–2691, 2002.
  • 7. A.H. Meitzler, Backward wave transmission of stress pulses in elastic cylinders and plates, J. Acoust. Soc. Am., 38, 835–842, 1965.
  • 8. K. Nishimiya, K. Mizutani, N. Wakatsuki, K. Yamamoto, Determination of condition for fastest NGV of Lamb-type waves under each density ratio of solid and liquid layers, Acoustics 08, Paris, P. 3613.
  • 9. S.D. Holland, D.E. Chimenti, Air-coupled acoustic imaging with zero-group-velocity Lamb modes, Appl. Phys. Lett., 83, 2704–2706, 2003.
  • 10. C. Prada, O. Balogun, T.W. Murray, Laser-based ultrasonic generation and detection of zero-group velocity Lamb waves in thin plates, Appl. Phys. Lett., 87, 194109-1-194109-3, 2005.
  • 11. C. Prada, D. Clorennce, T.W. Murray, D. Royer, Influence of the anisotropy on zero-group velocity Lamb modes, J. Acoust. Soc. Am., 126, 620–625, 2009.
  • 12. C. Prada, D. Clorennec, D. Royer, Local vibration of an elastic plate and zero-group velocity Lamb modes, J. Acoust. Soc. Am., 124, 203–212, 2008.
  • 13. T. Hussain, F. Ahmad, Lamb modes with multiple zero-group velocity points in an orthotropic plate, J. Acoust. Soc. Am., 32, 641–645, 2012.
  • 14. S. Nair, D.A. Sotiropoulos, Elastic waves in orthotropic incompressible materials and reflection from an interface, J. Acoust. Soc. Am., 102, 102–109, 1997.
  • 15. R.W. Ogden, P.C. Vinh, On Rayleigh waves in incompressible orthotropic elastic solids, J. Acoust. Soc. Am., 115, 530–533, 2004.
  • 16. S. Nair, D.A. Sotiropoulos, Interfacial waves in incompressible monoclinic materials with an interlayer, Mech. Mater. 31, 225–233, 1999.
  • 17. G.A. Rogerson, Some asymptotic expansions of the dispersion relation for an incompressible elastic plate, Int. J. Solids Struct., 34, 2785–2802, 1997.
  • 18. R.W. Ogden, D.G. Roxburgh, The effect of pre-stressed on the vibration and stability of elastic plates, Int. J. Engng Sci., 31, 1611–1639, 1993.
  • 19. F. Honarvar, E. Enjilela, A.N. Sinclair, An alternative method for plotting dispersion curves, Ultrasonics, 49, 15–18, 2009.
  • 20. D. Royer, E. Dieulesaint, Elastic Waves in Solids 1 Free and Guided Propagation, Chapter 3, Springer, Berlin, 2000.
  • 21. K.H. Hellwege, A.M. Hellwege, LANDOLT-BORNSTEIN Numerical Data and Functional Relationships in Science and Technology, Chapter 1, Springer, Berlin, 1979.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-4c089b44-f8ea-451e-a30f-dec72dada55b
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