Leaky Lamb waves in an anisotropic plate. I: An exact solution and experiments

The propagation of leaky Lamb waves in a plate consisting of a general balanced symmetric composite material is considered. The problem has been examined both analytically as well as experimentally. An exact solution for the dispersion equation was obtained. Numerical results for complex‐valued wavenumber were obtained for an isotropic material (aluminum) and a (0/903)s graphite/epoxy laminate. Excellent agreement for the isotropic case and a satisfactory agreement for the anisotropic case between the theory and experiment were observed.

[1]  I. A. Viktorov.  Rayleigh and Lamb Waves , 1967 .

[2]  R. D. Mindlin.  Waves and Vibrations in Isotropic, Elastic Plates , 1989 .

[3]  B. A. Auld,et al.  Elastic waves in free anisotropic plates , 1973 .

[4]  D. Choi,et al.  Transient pulse propagation in a fiber‐reinforced material , 1973 .

[5]  Gary A. Baum,et al.  Determination of all nine orthotropic elastic constants for machine-made paper , 1979 .

[6]  B. D. Agarwal,et al.  Analysis and Performance of Fiber Composites , 1980 .

[7]  D. Worlton.  Experimental Confirmation of Lamb Waves at Megacycle Frequencies , 1961 .

[8]  Louis R. Dragonette.  Schlieren Visualization of Radiation Caused by Illumination of Plates with Short Acoustical Pulses , 1972 .

[9]  Jan Drewes Achenbach,et al.  Continuum Theory for a Laminated Medium , 1968 .

[10]  M. Osborne,et al.  Transmission, Reflection, and Guiding of an Exponential Pulse by a Steel Plate in Water , 1945 .

[11]  C. Habeger,et al.  Ultrasonic plate waves in paper , 1979 .

[12]  V. Kinra,et al.  A new technique for ultrasonic-nondestructive evaluation of thin specimens , 1988 .

[13]  M. Luukkala,et al.  An investigation of generalized lamb waves using ultrasonic reflectivity measurements , 1973 .

[14]  Reflectivity and transmittivity of elastic plates , 1978 .

[15]  J. Achenbach.  Wave propagation in elastic solids , 1962 .

[16]  E. Lehfeldt,et al.  Lamb waves and lamination detection , 1967 .

[17]  W. E. Lawrie,et al.  Ultrasonic testing of materials: 2nd English Edition, translated from the 3rd German Edition, J. & H. Krautkrämer Springer-Verlag, Berlin, Heidelberg, New York (1977) 667 pp, $65.20, DM 148 , 1978 .

[18]  M. Behravesh,et al.  Rayleigh and Lamb waves at liquid-solid boundaries , 1975 .

[19]  R. D. Fay,et al.  Transmission of Sound through Steel Plates Immersed in Water , 1951 .

[20]  Herbert Überall,et al.  Resonance theory of acoustic waves interacting with an elastic plate , 1979 .

[21]  A. Bedford,et al.  Toward A Diffusing Continuum Theory of Composite Materials , 1971 .