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

  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},
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… 
Propagation of surface waves and surface resonances along cylindrical cavities in materials with any allowed Poisson's ratio – Part I: Clean inner surface
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
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
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
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
  • T. Lim
  • Engineering
    Archive 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
Crack growth, singularities and wave propagation in auxetic composite materials
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
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
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
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


Reexamination of dynamic problems of elasticity for negative Poisson’s ratio
Recently, isotropic elastic materials with a negative Poisson’s ratio have been manufactured. Since most of the theoretical results of linear elasticity focus on a positive Poisson’s ratio, the need
Wave motion in auxetic solids
The effect of auxeticity on the velocity of elastic wave propagation is investigated herein for isotropic solids. Three types of dimensionless wave velocities are proposed for investigating
Auxetic mechanics of crystalline materials
In the present paper, we analyze uniaxial deformation of crystals of different systems with negative Poisson’s ratios, known as auxetics. The behavior of auxetic crystals is studied on the basis of
Theory of elasticity
This book is designed for use by students and teachers in the field of applied mechanics and mathematics, and for practitioners in civil and mechanical engineering. Since tensor calculus is an
Foam Structures with a Negative Poisson's Ratio
A novel foam structure is presented, which exhibits a negative Poisson's ratio. Such a material expands laterally when stretched, in contrast to ordinary materials.