By Don Dissanayake
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Additional info for Acoustic Waves
6 that the dispersion curves of a specified wave mode corresponding to the case h1 / h2 = 1 / 1 locate in between those for cases h1 / h2 = 1 / 4 and h1 / h2 = 4 / 1 . As also indicated in Fig. 6, the thickness ratio has a distinct effect on the characteristics of all free wave modes. The effect is however somehow larger for the higher-order wave modes than the lower-order ones. 4 Effects of boundary conditions on the dispersion curves In order to show the effects of boundary conditions on the dispersion characteristics, the same 0°/90°/0°/90° laminated composite with equal layer thicknesses is considered for two different boundary conditions: one is that both the top and bottom surfaces are fixed and the other is that the top surface is traction-free while the bottom surface is fixed.
Electromagnetic radiation from a vibrating quartz plate. Int. J. , 697-702, 0020-7683 Palfreeman, J. (1965). Acoustic delay lines-A survey of types and uses. ; et al. (1986). Some exact solutions for the propagation of transient electroacoustic waves I: piezoelectric half-space. Int. J. Engng. , 557-568, 0020-7225 Tiersten, H. ; Mindlin, R. D. (1962). Forced vibrations of piezoelectric crystal plates. Quart. Appl. , 107-119, 0033-569x Vavrycuk, V. (2005). Acoustic axes in weak triclinic anisotropy.
This will be shown in the following section within the framework of reverberation-ray matrix analysis. 3. Unified formulation of MRRM The schematic of a multilayered anisotropic structure of infinite lateral extent is depicted in Fig. 1, which consists of a perfect stacking of n homogeneous arbitrarily anisotropic elastic or piezoelectric layers. From up to down, the layers are denoted in order by numbers 1 to n , and the top surface, interfaces and bottom surface in turn are denoted by numbers 1 to N + 1 , bearing the fact that n = N .