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Related papers: Explicit secular equations for piezoacoustic surfa…

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The existence of a two-partial Rayleigh wave coupled to an electrical field in 2mm piezoelectric crystals is known but has rarely been investigated analytically. It turns out that the Z-cut, X-propagation problem can be fully solved, up to…

Soft Condensed Matter · Physics 2013-04-24 Bernard Collet , Michel Destrade

Rayleigh waves are considered for crystals possessing at least one plane of symmetry. The secular equation is established explicitly for surface waves propagating in any direction of the plane of symmetry, using two different methods. This…

Soft Condensed Matter · Physics 2013-05-17 Michel Destrade

The secular equation for surface acoustic waves propagating on a monoclinic elastic half-space is derived in a direct manner, using the method of first integrals. Although the motion is at first assumed to correspond to generalized plane…

Soft Condensed Matter · Physics 2013-05-31 Michel Destrade

The propagation of surface (Rayleigh) waves over a rotating orthorhombic crystal is studied. The crystal possesses three crystallographic axes, normal to the symmetry planes: the half-space is cut along a plane normal to one of these axes,…

Soft Condensed Matter · Physics 2013-04-25 Michel Destrade

The propagation of surface acoustic waves in a rotating anisotropic crystal is studied. The crystal is monoclinic and cut along a plane containing the normal to the symmetry plane; this normal is also the axis of rotation. The secular…

Soft Condensed Matter · Physics 2013-04-26 Michel Destrade

We study coupled acoustic and plasma waves in piezoelectric semiconductor crystals of hexagonal symmetry. We focus on the so called shear-horizontal or antiplane motions with one mechanical displacement. A set of two dimensional equations…

Materials Science · Physics 2025-02-12 Qingguo Xia , Jianke Dua , Jiashi Yangb

Consider a layer made of a m3m insulator crystal, with faces cut parallel to a symmetry plane. Then bond it onto a semi-infinite mm2 piezoelectric substrate. For a X- or Y -cut of the substrate, a Love wave can propagate in the resulting…

Materials Science · Physics 2007-11-29 Bernard Collet , Michel Destrade

An isotropic elastic half space is prestrained so that two of the principal axes of strain lie in the bounding plane, which itself remains free of traction. The material is subject to an isotropic constraint of arbitrary nature. A surface…

Soft Condensed Matter · Physics 2013-04-26 Michel Destrade , Nigel H. Scott

The aim of this Letter is to derive explicitly the secular equation for Scholte waves at the interface between a fluid and an anisotropic crystal cut along a plane containing the normal to a single symmetry plane, that is containing only…

Soft Condensed Matter · Physics 2013-04-26 Michel Destrade

The study of elastic surface waves under impedance boundary conditions has become an intensive field of research due to their potential to model a wide range of problems. However, even when the secular equation, which provides the speed of…

Mathematical Physics · Physics 2024-03-28 Fabio Vallejo

The existence of surface elastic waves at a mechanically free surface of granular phononic crystals is studied. The granular phononic crystals are made of spherical particles distributed periodically on a simple cubic lattice. It is assumed…

Existence of shear horizontal (SH) surface waves in 2D-periodic phononic crystals with an asymmetric depth-dependent profile is theoretically reported. Examples of dispersion spectra with band gaps for subsonic and supersonic SH surface…

Mathematical Physics · Physics 2015-06-11 A. A. Kutsenko , A. L. Shuvalov

Surface acoustic waves are commonly used in a variety of radio-frequency electrical devices as a result of their operation at high frequencies and robust nature. For devices based on Rayleigh-like plane waves, functionality is based on the…

Applied Physics · Physics 2024-11-05 Karanpreet Singh , Gabe Wilson , James A. H. Stotz

It is shown that surface waves with twelve different velocities in the cases of different magneto-electrical boundary conditions can be guided by the interface of two identical magneto-electro-elastic half-spaces. The plane boundary of one…

General Physics · Physics 2007-05-23 Arman Melkumyan

In this paper, we present a semiclassical description of surface waves or modes in an elastic medium near a boundary, in spatial dimension three. The medium is assumed to be essentially stratified near the boundary at some scale comparable…

Analysis of PDEs · Mathematics 2021-06-09 Maarten de Hoop , Alexei Iantchenko , Gen Nakamura , Jian Zhai

Surface acoustic waves in two-dimensional phononic crystals consisting of a square array of shallow, two to three micron deep cylindrical void inclusions are studied computationally via the finite element method. For the [110] propagation…

Applied Physics · Physics 2019-07-24 Edward Muzar , James A. H. Stotz

The Stroh formalism is applied to the analysis of infinitesimal surface wave propagation in a statically, finitely and homogeneously deformed isotropic half-space. The free surface is assumed to coincide with one of the principal planes of…

Soft Condensed Matter · Physics 2013-04-24 Michel Destrade , Melanie Ottenio , Alexey V. Pichugin , Graham A. Rogerson

We consider the propagation of surface shear waves in a half-plane, whose shear modulus $\mu(y)$ and density $\rho(y)$ depend continuously on the depth coordinate $y$. The problem amounts to studying the parametric Sturm-Liouville equation…

Classical Analysis and ODEs · Mathematics 2018-10-16 Andrey Sarychev , Alexander Shuvalov , Marco Spadini

It is shown that surface waves with twelve different velocities in the cases of different magneto-electrical boundary conditions can be guided by the interface of two magneto-electro-elastic half-spaces. The plane boundary of one of the…

General Physics · Physics 2007-05-23 Arman Melkumyan

It is shown that new pure shear acoustic surface waves with five different velocities can be guided by stress free plane cuts with different magneto-electrical properties in magneto-electro-elastic materials. The possibility for the surface…

General Physics · Physics 2007-05-23 Arman Melkumyan
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