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Dispersion relations of elastic waves in one-dimensional piezoelectric phononic crystal with mechanically and dielectrically imperfect interfaces

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TLDR
In this article, the effects of mechanically and dielectrically imperfect interfaces on dispersion relations of elastic waves in a one-dimensional piezoelectric phononic crystal are studied.
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This article is published in Mechanics of Materials.The article was published on 2016-02-01. It has received 32 citations till now. The article focuses on the topics: Bloch wave & Dispersion relation.

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Wave propagation through a piezoelectric semiconductor slab sandwiched by two piezoelectric half-spaces

TL;DR: In this article, the authors analyzed the wave propagation through a piezoelectric semiconductor slab sandwiched by two polygonal half-spaces, and the results showed that the steady carrier density and the exterior biasing electric field have obvious influences on the reflection and transmission coefficients.
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In-plane elastic wave propagation in nanoscale periodic piezoelectric/piezomagnetic laminates

TL;DR: In this paper, the authors derived the equations of wave motion including the magneto-electro-mechanical coupling effect and solved them by taking the size effect into account and based on the nonlocal theory.
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Maximizing bandgap width and in-plane stiffness of porous phononic plates for tailoring flexural guided waves: Topology optimization and experimental validation

TL;DR: In this article, the relationship between bandgap efficiency and effective in-plane stiffness is explored, and a set of promising stiff and compliant optimized topologies are manufactured by water-jetting of an aluminum plate and experimentally tested to validate the calculated bandgap efficiencies and effective elastic properties.
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Effect of interaction among the three time scales on the propagation characteristics of coupled waves in a piezoelectric semiconductor rod

TL;DR: Based on small fluctuation of carrier concentration, a linearly-algebra equation on velocities of coupled waves in a piezoelectric semiconductor rod is established and two wave velocity together with the attenuation effects are obtained hard on the heels as discussed by the authors.
References
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Book

Acoustic Fields and Waves in Solids

Bert A. Auld
TL;DR: In this article, the authors apply the material developed in the Volume One to various boundary value problems (reflection and refraction at plane surfaces, composite media, waveguides and resonators).
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Locally Resonant Sonic Materials

TL;DR: In this article, a 2-centimeter slab of this composite material is shown to break the conventional mass-density law of sound transmission by one or more orders of magnitude at 400 hertz.
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Elastic and acoustic wave band structure

TL;DR: In this article, a periodic structure consisting of identical spheres placed periodically within a host homogeneous material is investigated, and the structure is shown to have a similar structure to the one described in this paper.
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Study on band gaps of elastic waves propagating in one-dimensional disordered phononic crystals

TL;DR: In this article, the localization of wave propagation due to random disorder is discussed by introducing the concept of the localization factor, which may act as an accurate and efficient parameter to characterize band structures of both ordered and disordered (including quasi-periodic) phononic crystals.
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