Abstract
The propagation of shear-horizontal (SH) waves in the periodic layered nanocomposite is investigated by using both the nonlocal integral model and the nonlocal differential model with the interface effect. Based on the transfer matrix method and the Bloch theory, the band structures for SH waves with both vertical and oblique incidences to the structure are obtained. It is found that by choosing appropriate interface parameters, the dispersion curves predicted by the nonlocal differential model with the interface effect can be tuned to be the same as those based on the nonlocal integral model. Thus, by propagating the SH waves vertically and obliquely to the periodic layered nanostructure, we could invert, respectively, the interface mass density and the interface shear modulus, by matching the dispersion curves. Examples are further shown on how to determine the interface mass density and the interface shear modulus in theory.
Highlights
As new functional materials, periodic layered composites can suppress the propagation of elastic waves within a certain frequency range[1,2,3,4]
The dispersion curves obtained by the nonlocal differential model with the interface mass density are the same as those based on the nonlocal integral model in the low frequency region (Ω < 2)
Before we switch to the obliquely incident SH waves case, we show in Fig. 6 the band structures of the same periodic layered nanostructure when R (= Ri = Rd) = 0.15 and when frequency is relatively high
Summary
Periodic layered composites can suppress the propagation of elastic waves within a certain frequency range[1,2,3,4]. By using the nonlocal theory of integral form (or called the nonlocal integral model), Chen and Wang[24] studied the shear wave which propagates normally in the one-dimensional nanoscale HfO2-ZrO2 phononic crystal and found that the first two bands of the dispersion curves were identical to those based on the first-principle method. In this paper, the SH waves which propagate vertically and obliquely in the periodic layered nanostructure are studied by using both the nonlocal integral and differential models with and without the interface effect.
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