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Diffraction of elastic waves is considered for a system consisting of two parallel arrays of thin (subwavelength) cylinders that are arranged periodically. The embedding media supports waves with all polarizations, one longitudinal and two…

经典物理 · 物理学 2020-01-07 Omer Haq , Sergei Shabanov

Classically, anisotropic surface wave tomography is treated as an optimisation problem where it proceeds through a linearised two-step approach. It involves the construction of 2D group or phase velocity maps for each considered period,…

地球物理 · 物理学 2020-12-08 John Keith Magali

We study incremental wave propagation for what is seemingly the simplest boundary value problem, namely that constitued by the plane interface of a semi-infinite solid. With a view to model loaded elastomers and soft tissues, we focus on…

材料科学 · 物理学 2007-12-04 Michel Destrade

The propagation of acoustic or elastic waves in artificial crystals, including the case of phononic and sonic crystals, is inherently anisotropic. As is known from the theory of periodic composites, anisotropy is directly dictated by the…

经典物理 · 物理学 2023-06-30 Vincent Laude , Julio Andres Iglesias Martinez , Yan-Feng Wang , Muamer Kadic

The propagation of incoherent elastic energy in a three-dimensional solid due to the scattering by many, randomly placed and oriented, pinned dislocation segments, is considered in a continuum mechanics framework. The scattering mechanism…

材料科学 · 物理学 2022-07-20 Dmitry Churochkin , Fernando Lund

Bounds are obtained on the volume fraction in a two-dimensional body containing two elastically isotropic materials with known bulk and shear moduli. These bounds use information about the average stress and strain fields, energy,…

偏微分方程分析 · 数学 2015-05-30 Graeme Walter Milton , Loc Hoang Nguyen

The appearence of a new type of fast nonlinear traveling wave states in binary fluid convection with increasing Soret effect is elucidated and the parameter range of their bistability with the common slower ones is evaluated numerically.…

patt-sol · 物理学 2009-10-30 St. Hollinger , P. Buechel , M. Luecke

The stability and transition in the bottom boundary layer under a solitary wave are analysed in the presence of finite amplitude disturbances. First, the receptivity of the boundary layer is investigated using a linear input-output…

流体动力学 · 物理学 2020-07-15 Asim Önder , Philip Li-Fan Liu

The interaction of surface waves with Couette-type current with uniform vorticity is a well suited problem for students approaching the theory of surface waves. The problem, although mathematically simple, contains rich physics, and is…

流体动力学 · 物理学 2014-02-26 Simen Å Ellingsen , Iver Brevik

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…

综合物理 · 物理学 2007-05-23 Arman Melkumyan

This work presents a generalized physical interpretation of unconventional dispersion asymmetries associated moving elastic solids. By shifting the notion from systems with time-variant material fields to physically traveling materials, the…

应用物理 · 物理学 2019-01-15 M. A. Attarzadeh , M. Nouh

The physical processes taking place at the surface and near the surface of solids is so rich and versatile that sometimes they seem to be the inexhaustible subject of fundamental research. In particular, since the discovery by Lord Rayleigh…

材料科学 · 物理学 2017-07-19 Eugene A. Eliseev , Anna N. Morozovska , Maya D. Glinchuk , Sergei V. Kalinin

We address Euler's equations for irrotational gravity waves in an infinitely deep fluid rewritten in conformal variables. Stokes waves are traveling waves with the smooth periodic profile. In agreement with the previous numerical results,…

偏微分方程分析 · 数学 2025-03-21 Sergey Dyachenko , Dmitry E. Pelinovsky

We derive analytical formulas for the wake and wave drag of a disturbance moving arbitrarily at the air-water interface. We show that, provided a constant velocity is reached in finite time, the unsteady surface displacement converges to…

流体动力学 · 物理学 2024-04-05 Lucas Gierczak , Assil Fadle , Maxence Arutkin , Elie Raphaël , Michael Benzaquen

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…

偏微分方程分析 · 数学 2021-06-09 Maarten de Hoop , Alexei Iantchenko , Gen Nakamura , Jian Zhai

In this paper, we investigate well-posedness of time-harmonic scattering of elastic waves by unbounded rigid rough surfaces in three dimensions. The elastic scattering is caused by an $L^2$ function with a compact support in the…

偏微分方程分析 · 数学 2024-01-30 Guanghui Hu , Tianjiao Wang , Xiang Xu , Yue Zhao

This is a study of two-dimensional steady periodic travelling waves on the surface of an infinitely deep irrotational ocean, when the top streamline is in contact with a membrane which has a nonlinear response to stretching and bending, and…

偏微分方程分析 · 数学 2008-05-06 Pietro Baldi , John F. Toland

Particles such as microplastics and phytoplankton suspended in the water column in the natural environment are often subject to the action of surface gravity waves. By modelling such anisotropic particles as small spheroids that slowly…

流体动力学 · 物理学 2023-08-03 Nimish Pujara , Jean-Luc Thiffeault

Using shear wave elastography, we measure the changes in the wave speed with the stress produced by a striated muscle during isometric voluntary contraction. To isolate the behaviour of an individual muscle from complementary or…

Hydrodynamic instability of a gravity-driven flow down an inclined plane is investigated in the presence of a floating elastic plate which rests on the top surface of the flow. Linear instability of the system with respect to infinitesimal…

流体动力学 · 物理学 2020-03-17 Siluvai Antony Selvan , Sukhendu Ghosh , Harekrushna Behera , Michael H. Meylan