Surface wave in slightly compressible, finitely deformed elastic media
type: Item
instance of: scholarly article
title: Surface wave in slightly compressible, finitely deformed elastic media
zbMATH Open document ID: 0978.74042
DOI: 10.1016/S0093-6413(98)00065-2
author: Graham A. Rogerson
author: J. G. Murphy
published in: Mechanics Research Communications
publication date: 2002-01-31T00:00:00Z
review text: The authors consider the title problem in an elastic half-space. First, the governing equations are derived for small amplitude motions superimposed upon a finitely deformed-slightly compressible elastic solid. These equations describe the propagation of infinitesimal surface waves along the boundary of a half-space composed of such material. The authors obtain the speed of surface waves propagating along a principal direction parallel to the free surface. The existence of surface waves is investigated for a specific strain energy function. It is shown that, whenever a surface wave exists, it is unique. The authors establish the domain of existence of surface waves, and present numerical solutions which exhibit both the dependence of the surface wave speed on normal principal Cauchy stress, and the effect of change in the bulk modulus.
reviewed by: Bingzheng Gai
Mathematics Subject Classification ID: 74J15
Mathematics Subject Classification ID: 74H20
Mathematics Subject Classification ID: 74H25
zbMATH DE Number: 1445999
zbMATH Keywords: varying bulk modulus
zbMATH Keywords: uniqueness
zbMATH Keywords: elastic half-space
zbMATH Keywords: finitely deformed-slightly compressible elastic solid
zbMATH Keywords: infinitesimal surface waves
zbMATH Keywords: existence of surface waves
zbMATH Keywords: strain energy function
zbMATH Keywords: surface wave speed
zbMATH Keywords: normal principal Cauchy stress
MaRDI profile type: Publication
Wikidata QID: Q126645174
full work available at URL: s0093-6413(98)00065-2
OpenAlex ID: W2044168546
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description: scientific article; zbMATH DE number 1445999