Summary
The propagation of waves in a two-ply laminated plate is examined. Each lamina is composed of the same transversely isotropic, homogeneous, elastic material with the direction of transverse isotropy lying in the plane of the lamina. The two laminae are perfectly bonded to each other in such a way that their respective axes of transverse isotropy are orthogonal. The dispersion equation is derived for waves propagating at an arbitrary angle in the plane of the plate. The long and short wavelength behaviour is examined analytically and subsequently the equation is solved numerically. Results are plotted for the fundamental mode and first two harmonics. In order to gain further understanding of these dispersion curves in certain regions, the stress variation through the plate is examined.
The corresponding dispersion curves are obtained for the ideal material which is assumed to be inextensible in the direction of transverse isotropy.
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Baylis, E. R.: Wave propagation in an asymmetric fibre-reinforced laminated plate. Acta Mech.64 (3–4), 187–206 (1986).
Markham, M. F.: Measurement of the elastic constants of fibre composites by ultrasonics. Composites1, 145–149 (1970).
Baylis, E. R., Green, W. A.: Flexural waves in fibre-reinforced laminated plates. J. Sound Vibration110, 1–26 (1986).
Baylis, E. R., Green, W. A.: Flexural waves in fibre-reinforced laminated plates: Part II. J. Sound Vibration111, 181–190 (1986).
Green, W. A.: Bending waves in strongly anisotropic elastic plates. Quart. J. Mech. Appl. Math.35, 485–507 (1982).
Baylis, E. R.: Wave propagation in fibre-reinforced laminates. Ph.D. Thesis, University of Nottingham, England, 1986.
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Baylis, E.R. Wave propagation in an asymmetric fibre-reinforced laminated plate. Part II. Acta Mechanica 71, 167–183 (1988). https://doi.org/10.1007/BF01173945
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DOI: https://doi.org/10.1007/BF01173945