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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

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

This research explores refined boundary conditions for a traction-free surface in a non-local micropolar half-space, combining non-local and micropolar elasticity effects to study Rayleigh wave propagation in an isotropic, homogeneous…

Mathematical Physics · Physics 2024-10-07 Manasa Bhat , Santanu Manna

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

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…

Analysis of PDEs · Mathematics 2021-03-22 Francesca Passarella , Vincenzo Tibullo , Giacomo Viccione

The analysis of the Rayleigh-B\'enard instability due to the mass diffusion in a fluid-saturated horizontal porous layer is reconsidered. The standard diffusion theory based on the variance of the molecular position growing linearly in time…

Fluid Dynamics · Physics 2023-11-28 Antonio Barletta

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

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…

Analysis of PDEs · Mathematics 2018-01-03 Aric Wheeler , Mark Williams

Due to the non-linearity of Hertzian contacts, the speed of sound $c$ in granular matter is expected to increase with pressure as $P^{1/6}$. A static layer of grains under gravity is thus stratified so that bulk waves are refracted toward…

Soft Condensed Matter · Physics 2007-05-23 L. Bonneau , B. Andreotti , E. Clement

This work is devoted to the analysis of high frequency solutions to the equations of nonlinear elasticity in a half-space. We consider surface waves (or more precisely, Rayleigh waves) arising in the general class of isotropic hyperelastic…

Analysis of PDEs · Mathematics 2016-04-18 Jean-Francois Coulombel , Mark Williams

In this paper we study the dispersive properties related to a model of peridynamic evolution, governed by a non local initial value problem, in the cases of two and three spatial dimensions. The features of the wave propagation…

Analysis of PDEs · Mathematics 2023-03-21 Alessandro Coclite , Giuseppe Maria Coclite , Giuseppe Fanizza , Francesco Maddalena

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

We examine the sensitivity of the Love and the quasi-Rayleigh waves to model parameters. Both waves are guided waves that propagate in the same model of an elastic layer above an elastic halfspace. We study their dispersion curves without…

Geophysics · Physics 2017-04-03 David R. Dalton , Michael A. Slawinski , Piotr Stachura , Theodore Stanoev

Galvanised by the emergent fields of metamaterials and topological wave physics, there is currently much interest in controlling wave propagation along structured arrays, and interfacial waves between geometrically different crystal…

Classical Physics · Physics 2018-12-19 G. J. Chaplain , M. P. Makwana , R. V. Craster

We experimentally study linear and nonlinear waves on the surface of a fluid covered by an elastic sheet where both tension and flexural waves take place. An optical method is used to obtain the full space-time wave field, and the…

Fluid Dynamics · Physics 2014-02-10 Luc Deike , Jean-Claude Bacri , Eric Falcon

Many new applications of ferroelastic materials require a better understanding of their dynamics that often involve phase transformations. In such cases, an important prerequisite is the understanding of wave propagation caused by…

Materials Science · Physics 2007-05-23 Linxiang X. Wang , Roderick V. N. Melnik

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…

Mesoscale and Nanoscale Physics · Physics 2021-08-04 Claudio Benzoni , Bhilahari Jeevanesan , Sergej Moroz

An electromagnetic wave-packet propagating in a linear, homogeneous, and isotropic medium changes shape while its envelope travels with different velocities at different points in spacetime. In general, a wave-packet can be described as a…

Optics · Physics 2020-08-26 Masud Mansuripur

Nonlinear wave propagation in large extra spatial dimensions (on and above $d=2$) is investigated in the context of nonlinear electrodynamics theories that depend exclusively on the invariant…

High Energy Physics - Theory · Physics 2024-08-20 I. Soares , R. Turcati , S. B. Duarte

In-plane wave propagation in a periodic rectangular grid beam structure, which includes rotational inertia (so-called 'Rayleigh beams'), is analyzed both with a Floquet-Bloch exact formulation for free oscillations and with a numerical…

Classical Physics · Physics 2018-07-18 G. Bordiga , L. Cabras , D. Bigoni , A. Piccolroaz
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