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A numerical method is described for studying how elastic waves interact with imperfect contacts such as fractures or glue layers existing between elastic solids. These contacts have been classicaly modeled by interfaces, using a simple…

Classical Physics · Physics 2016-08-16 Bruno Lombard , Joël Piraux

The evolution of acoustic waves can be evaluated in two ways: either as a temporal, or a spatial propagation. Propagating in space provides the considerable advantage of being able to handle dispersion and propagation across interfaces with…

Classical Physics · Physics 2018-06-04 Paul Kinsler

The scattering of electromagnetic waves by an obstacle is analyzed through a set of partial differential equations combining the Maxwell's model with the mechanics of fluids. Solitary type EM waves, having compact support, may easily be…

Computational Physics · Physics 2018-03-28 Daniele Funaro , Eugene Kashdan

A complete methodology, based on a two-scale asymptotic approach, that enables the homogenisation of elastic lattices at non-zero frequencies is developed. Elastic lattices are distinguished from scalar lattices in that two or more types of…

Classical Physics · Physics 2014-07-09 D. J. Colquitt , R. V. Craster , M. Makwana

A high-performance parallel algorithm is proposed for modeling the propagation of acoustic and elastic waves in inhomogeneous media. An initial boundary-value problem is replaced by a series of boundary-value problems for a constant…

Numerical Analysis · Mathematics 2011-01-25 Alexey G. Fatyanov , Andrew V. Terekhov

We are concerned with a coupled-physics spectral problem arising in the coupled propagation of acoustic and elastic waves, which is referred to as the acoustic-elastic transmission eigenvalue problem. There are two major contributions in…

Analysis of PDEs · Mathematics 2023-05-04 Huaian Diao , Hongjie Li , Hongyu Liu , Jiexin Tang

Energy transmission over long distances by waves is a key mechanism for many natural processes. This possibility arises when an inhomogeneous medium is arranged in such a manner that it enables a certain type of wave to propagate with…

Fluid Dynamics · Physics 2026-05-05 Semyon Churilov

We study the diffusion of anti-plane elastic waves in a two dimensional continuum by many, randomly placed, screw dislocations. Building on a previously developed theory for coherent propagation of such waves, the incoherent behavior is…

Materials Science · Physics 2016-08-30 Dmitry Churochkin , Fernando Lund

Here to represent the propagation of waves I attempted to describe them separately in space and time domains. The time and space wave equations are obtained and investigated, and formulas for the wave propagation are expressed. I also tried…

General Physics · Physics 2007-05-23 Alexei Krouglov

The analysis of wave propagation problems in linear damped media must take into account both propagation features and attenuation process. To perform accurate numerical investigations by the finite differences or finite element method, one…

Classical Physics · Physics 2009-01-26 Jean-François Semblat , J. J. Brioist

Modern, high-fidelity numerical simulations have shown an apparently anomalous result: a longitudinal elastodynamic wave travelling perpendicular to the forcing direction. Numerical simulations, in combination with an analytical model, are…

Applied Physics · Physics 2024-06-24 Peter Huthwaite

The features of propagation of intense waves are of great interest for theory and experiment in electrodynamics and acoustics. The behavior of nonlinear waves in a bounded volume is of especial importance and, at the same time, is an…

Classical Physics · Physics 2013-06-05 E. Yu. Petrov , A. V. Kudrin

This work is concerned with the propagation of electromagnetic waves in isotropic chiral media and with the effects produced by a plane boundary between two such media. In analogy with the phenomena of reflection and refraction of plane…

Optics · Physics 2007-05-23 Jose F. Nieves , Palash B. Pal

We examine two types of guided waves: the Love and the quasi-Rayleigh waves. Both waves propagate in the same model of an elastic isotropic layer above an elastic isotropic halfspace. From their dispersion relations, we calculate their…

Geophysics · Physics 2016-07-26 David R. Dalton , Michael A. Slawinski , Piotr Stachura , Theodore Stanoev

A high order cut finite element method is formulated for solving the elastic wave equation. Both a single domain problem and an interface problem are treated. The boundary or interface are allowed to cut through the background mesh. To…

Numerical Analysis · Mathematics 2018-04-03 Simon Sticko , Gustav Ludvigsson , Gunilla Kreiss

We consider the effect of an array of plates or beams over a semi-infinite elastic ground on the propagation of elastic waves hitting the interface. The plates/beams are slender bodies with flexural resonances at low frequencies able to…

Classical Physics · Physics 2020-07-15 Jean-Jacques Marigo , Kim Pham , Agnès Maurel , Sébastien Guenneau

A phenomenological method is developed to consider elastic guided wave propagation in complex curved waveguides. The theory on guided wave propagation in hollow circular cylinders is used in order to verify the method. The results are…

Classical Physics · Physics 2012-09-03 E. Khajeh , L. Breon , J. L. Rose

When using a finite difference method to solve an initial--boundary--value problem, the truncation error is often of lower order at a few grid points near boundaries than in the interior. Normal mode analysis is a powerful tool to analyze…

Numerical Analysis · Mathematics 2018-08-23 Siyang Wang , Anna Nissen , Gunilla Kreiss

In this paper, a general methodology to study rigorously discontinuities in open waveguides is presented. It relies on a full vector description given by Maxwell's equations in the framework of the finite element method. The discontinuities…

Computational Physics · Physics 2020-06-24 Guillaume Demésy , Gilles Renversez

Previous experimental and numerical studies showed that two-dimensional roughness elements can stabilize disturbances inside a hypersonic boundary layer, and eventually delay the transition onset. The objective of this paper is to evaluate…

Fluid Dynamics · Physics 2018-07-09 Jeremy Sawaya , Vasileios Sassanis , Sofia Yassir , Adrian Sescu , Miguel Visbal