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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

We investigate the propagation of Love waves in an isotropic half-space modelled as a linear {elastic isotropic} Cosserat material. To this aim, we show that a method commonly used to study Rayleigh wave propagation is also applicable to…

Analysis of PDEs · Mathematics 2025-09-12 Marius Apetrii , Emilian Bulgariu , Ionel-Dumitrel Ghiba , Hassam Khan , Patrizio Neff

In this paper we study Love waves in a layered, elastic half-space. We first address the direct problem and we characterize the existence of Love waves through the dispersion relation. We then address the inverse problem and we show how to…

Analysis of PDEs · Mathematics 2024-04-09 Maarten V. de Hoop , Josselin Garnier , Alexei Iantchenko , Julien Ricaud

We use the Pareto Joint Inversion, together with the Particle Swarm Optimization, to invert the Love and quasi-Rayleigh surface-wave speeds, obtained from dispersion curves, in order to infer the elasticity parameters, mass densities and…

General equations describing shear displacements in incompressible hyperelastic materials, holding for an arbitrary form of strain energy density function, are presented and applied to the description of nonlinear Love-type waves…

Exactly Solvable and Integrable Systems · Physics 2026-03-20 Shawn Samuel Carl McAdam , Samuel Opoku Agyemang , Alexei Cheviakov

A theory for multiple scattering of elastic waves is presented in a random medium bounded by two ideal free surfaces, whose horizontal size is infinite and whose transverse size is smaller than the mean free path of the waves. This geometry…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Nicolas P. Tregoures , Bart A. van Tiggelen

We investigate the propagation of Rayleigh waves in a half-space coupled to a nonlinear metasurface. The metasurface consists of an array of nonlinear oscillators attached to the free surface of a homogeneous substrate. We describe,…

Applied Physics · Physics 2025-10-20 Antonio Palermo , Behrooz Yousefzadeh , Chiara Daraio , Alessandro Marzani

We examine the Backus average of a stack of isotropic layers overlying an isotropic halfspace to examine its applicability for the quasi-Rayleigh and Love wave dispersion curves, both of which apply to the same model. We compare these…

Geophysics · Physics 2019-09-04 David R. Dalton , Thomas B. Meehan , Michael A. Slawinski

We investigate the elastic normal modes of two-dimensional media with broken time-reversal and parity symmetries due to a Lorentz term. Our starting point is an elasticity theory that captures the low-energy physics of a diverse range of…

Soft Condensed Matter · Physics 2022-07-27 Filip Marijanović , Sergej Moroz , Bhilahari Jeevanesan

This article delves into the intricate dynamics of Rayleigh wave propagation within a nonlocal orthotropic medium, where the presence of void and diffusion adds an intriguing layer to the analysis. Grounded in Eringen nonlocal elasticity…

Classical Physics · Physics 2025-03-04 Abhishek Mallick , Siddhartha Biswas

This paper brings a comparative analysis between dynamic models of couple-stress elastic materials and structured Rayleigh beams on a Winkler foundation. Although physical phenomena have different physical origins, the underlying equations…

Classical Physics · Physics 2014-08-22 A. Piccolroaz , A. B. Movchan

The propagation of waves in soft dielectric elastomer layers is investigated. To this end incremental motions superimposed on homogeneous finite deformations induced by bias electric fields and pre-stretch are determined. First we examine…

Soft Condensed Matter · Physics 2011-11-22 Gal Shmuel , Massimiliano Gei , Gal deBotton

Extremal elastic materials here refer to a specific class of elastic materials whose elastic matrices exhibit one or more zero eigenvalues, resulting in soft deformation modes that, in principle, cost no energy. They can be approximated…

Classical Physics · Physics 2024-09-09 Yu Wei , Yi Chen , Wen Cheng , Xiaoning Liu , Gengkai Hu

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

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…

Geophysics · Physics 2007-11-29 Michel Destrade

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…

Analysis of PDEs · Mathematics 2019-09-02 Maarten V. de Hoop , Alexei Iantchenko , Robert D. van der Hilst , Jian Zhai

We study the intensity distribution function, P(I), for monochromatic waves propagating in quasi one-dimensional disordered medium, assuming that a point source and a point detector are embedded in the bulk of the medium. We find deviations…

Condensed Matter · Physics 2009-10-31 A. D. Mirlin , R. Pnini , B. Shapiro

Love waves are dispersive interfacial waves that are a mode of response for anti-plane motions of an elastic layer bonded to an elastic half-space. Similarly, Stoneley waves are interfacial waves in bonded contact of dissimilar elastic…

Mathematical Physics · Physics 2009-10-11 K. Ranjith

The object of this study is to investigate the effect of viscosity on propagation of free-surface waves in an incompressible viscous fluid layer of arbitrary depth. While we provide a more detailed study of properties of linear surface…

Fluid Dynamics · Physics 2019-09-06 Arash Ghahraman , Gyula Bene

Microwave transport experiments have been performed in a quasi-two-dimensional resonator with randomly distributed scatterers, each mimicking an $r^{-2}$ repulsive potential. Analysis of both stationary wave fields and transient transport…

Disordered Systems and Neural Networks · Physics 2010-03-09 R. Hoehmann , U. Kuhl , H. -J. Stoeckmann , L. Kaplan , E. J. Heller
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