SH surface waves in a homogeneous gradient-elastic half-space with surface energy
type: Item
instance of: scholarly article
title: SH surface waves in a homogeneous gradient-elastic half-space with surface energy
zbMATH Open document ID: 0912.73016
DOI: 10.1023/A:1007433510623
author: H. G. Georgiadis
author: Ioannis Vardoulakis
published in: Journal of Elasticity
publication date: 1999-05-05T00:00:00Z
review text: The authors use the theory of gradient elasticity and the surface effects to model the equations of motion in a homogeneous elastic half-space. The horizontally polarized shear surface waves are then considered by applying the integral transforms to the field equation. The dispersion equation for the surface waves is obtained, and it is shown that a single mode of SH waves may exist as opposed to the case of inhomogeneous elastic half-space model where an infinite number of modes is predicted. The authors note that SH surface waves fail to exist in a homogeneous half-space in the frame of the classical theory of elasticity.
Mathematics Subject Classification ID: 74J15
Mathematics Subject Classification ID: 74J20
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 1089102
zbMATH Keywords: field equation
zbMATH Keywords: dispersion equation
zbMATH Keywords: horizontally polarized shear surface waves
reviewed by: F. D. Zaman
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1089102