# Rayleigh and Love surface waves in isotropic media with negative Poisson’s ratio

@article{Goldstein2014RayleighAL, title={Rayleigh and Love surface waves in isotropic media with negative Poisson’s ratio}, author={Robert V. Goldstein and Valentin A. Gorodtsov and Dmitry S. Lisovenko}, journal={Mechanics of Solids}, year={2014}, volume={49}, pages={422-434} }

The behavior of Rayleigh surface waves and the first mode of the Love waves in isotropic media with positive and negative Poisson’s ratio is compared. It is shown that the Rayleigh wave velocity increases with decreasing Poisson’s ratio, and it increases especially rapidly for negative Poisson’s ratios less than −0.75. It is demonstrated that, for positive Poisson’s ratios, the vertical component of the Rayleigh wave displacements decays with depth after some initial increase, while for…

## 16 Citations

Propagation of surface waves and surface resonances along cylindrical cavities in materials with any allowed Poisson's ratio – Part I: Clean inner surface

- Physics
- 2015

The dynamics of the inner surface of an infinitely long circular‐cylindrical cavity in an isotropic elastic medium is studied in the whole range of the Poisson's ratio including negative values…

Longitudinal wave motion in width-constrained auxetic plates

- Engineering
- 2016

This paper investigates the longitudinal wave velocity in auxetic plates in comparison to conventional ones, in which the plate is constrained from motion in the width direction. By taking into…

Wave Propagation in Auxetic Solids

- Geology
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This chapter on wave propagation forms the second part of the elastodynamics of auxetic solids. Special emphasis is placed on the effect of negative Poisson’s ratio towards the velocity of…

Effect of longitudinal stress on wave propagation in width‐constrained elastic plates with arbitrary Poisson's ratio

- Engineering
- 2015

The Helmholtz wave equation is derived for longitudinal waves in an elastic plate of arbitrary thickness placed in a rigid gantry ensuring a constant width. The whole range of Poisson's ratio allowed…

Longitudinal wave speed in auxetic plates with elastic constraint in width direction

- EngineeringArchive of Applied Mechanics
- 2018

This paper evaluates the longitudinal wave speed through a plate in which its two opposing sides are elastically restrained in the width direction, taking into consideration the material auxeticity…

Longitudinal wave speed in cylindrical auxetic rods with elastic constraint in radial direction

- EngineeringEuropean Journal of Mechanics - A/Solids
- 2019

Crack growth, singularities and wave propagation in auxetic composite materials

- Materials Science
- 2014

An auxetic material is a material which has a negative Poisson’s ratio, so it exhibit lateral expansion upon longitudinal tensile loading, or undergo lateral contraction under longitudinal…

Splitting of Strain Solitons upon Their Interaction in the Auxetic Rod

- PhysicsDynamics and Control of Advanced Structures and Machines
- 2019

The problem of longitudinal wave propagation in a rod made from an auxetic material is considered. It is shown that a negative Poisson’s ratio leads to a qualitatively different (anomalous)…

Normal wave diffraction on a plate submerged in a liquid: Level gauge model, factorization method modification, and waveguide quasiresonances

- Physics
- 2017

An exact solution is obtained for onemore new diffraction problem whose transcendental difficulty has been known since Sommerfeld and Kirchhoff. The model of waveguide level gauge, where the main…

Advanced Structured Materials

- Physics
- 2015

Dynamics of solitons is considered in the framework of the extended nonlinear Schrödinger equation (NLSE), which is derived from a system of the Zakharov’s type for the interaction between highand…

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