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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…

软凝聚态物质 · 物理学 2013-04-26 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,…

软凝聚态物质 · 物理学 2013-04-25 Michel Destrade

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…

软凝聚态物质 · 物理学 2013-04-26 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…

软凝聚态物质 · 物理学 2013-05-31 Michel Destrade

Attention is given to surface waves of shear-horizontal modes in piezoelectric crystals permitting the decoupling between an elastic in-plane Rayleigh wave and a piezoacoustic anti-plane Bleustein-Gulyaev wave. Specifically, the crystals…

软凝聚态物质 · 物理学 2013-04-26 Bernard Collet , Michel Destrade

A Rayleigh wave is a type of surface wave that propagates in the boundary of an elastic solid with traction (or Neumann) boundary conditions. Since the 1980s much work has been done on the problem of constructing a leading term in an…

偏微分方程分析 · 数学 2018-01-03 Aric Wheeler , Mark Williams

Scattering of a scalar particle on a crystalline plane with quadratic cell and identical fixed scatterers is solved precisely. Contradiction of the standard scattering theory is pointed out.

综合物理 · 物理学 2013-08-07 V. K. Ignatovich

Efforts at modelling the propagation of seismic waves in half-spaces with continuously varying properties have been mostly focused on shear-horizontal waves. Here a sagittaly polarized (Rayleigh type) wave travels along a symmetry axis (and…

地球物理 · 物理学 2007-11-29 Michel Destrade

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…

软凝聚态物质 · 物理学 2013-04-24 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…

软凝聚态物质 · 物理学 2013-04-26 Michel Destrade , Nigel H. Scott

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…

The surface-impedance matrix method is used to study interfacial waves polarized in a plane of symmetry of anisotropic elastic materials. Although the corresponding Stroh polynomial is a quartic, it turns out to be analytically solvable in…

软凝聚态物质 · 物理学 2013-04-08 Michel Destrade , YiBin Fu

The derivation of the equation of one-dimensional movement of a solitary shock wave is given. This derivation shows, that the differential equation of movement of a solitary plane shock wave in the channel with variable area, is exact, if…

流体动力学 · 物理学 2007-05-23 Serge A. Serov

We analyze the inverse spectral problem on the half line associated with elastic surface waves. Here, we extend the treatment of Love waves [arXiv: 1908.10529] to Rayleigh waves. Under certain conditions, and assuming that the Poisson ratio…

偏微分方程分析 · 数学 2019-09-02 Maarten V. de Hoop , Alexei Iantchenko , Robert D. van der Hilst , Jian Zhai

For general anisotropic linear elastic solids with smooth boundaries, Rayleigh-type surface waves are studied. Using spectral factorizations of matrix polynomials, a self-contained exposition of the case of a homogeneous half-space is given…

数学物理 · 物理学 2014-05-12 Sönke Hansen

This paper is concerned with the linear theory of thermoelasticity with microtemperatures, based on the entropy balance proposed by Green and Naghdi, which permits the transmission of heat as thermal waves of finite speed. We analyze the…

偏微分方程分析 · 数学 2021-03-22 Francesca Passarella , Vincenzo Tibullo , Giacomo Viccione

Some relationships, fundamental to the resolution of interface wave problems, are presented. These equations allow for the derivation of explicit secular equations for problems involving waves localized near the plane boundary of…

软凝聚态物质 · 物理学 2013-04-24 Michel Destrade

Possibility of asymmetric square convection is investigated numerically using a few mode Lorenz-like model for thermal convection in Boussinesq fluids confined between two stress free and conducting flat boundaries. For relatively large…

斑图形成与孤子 · 物理学 2009-10-31 Alaka Das , Ujjal Ghosal , Krishna Kumar

We investigate, within the framework of linear elasticity theory, edge Rayleigh waves of a two-dimensional elastic solid with broken time-reversal and parity symmetries due to a Berry term. As our prime example, we study the elastic edge…

介观与纳米尺度物理 · 物理学 2021-08-04 Claudio Benzoni , Bhilahari Jeevanesan , Sergej Moroz

Small amplitude inhomogeneous plane waves are studied as they propagate on the free surface of a predeformed semi-infinite body made of Bell constrained material. The predeformation corresponds to a finite static pure homogeneous strain.…

软凝聚态物质 · 物理学 2013-05-01 Michel Destrade
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