Extensional waves in strongly anisotropic elastic plates
type: Item
instance of: scholarly article
title: Extensional waves in strongly anisotropic elastic plates
zbMATH Open document ID: 0564.73036
DOI: 10.1016/0020-7683(85)90060-5
author: Dragan Milosavljevic
author: W. A. Green
published in: International Journal of Solids and Structures
publication date: 1985-01-01T00:00:00Z
review text: This article examines extensional waves propagating in an infinite plate of transversely isotropic material with the axis of transverse isotropy lying in the plane of the plate. Attention is restricted to waves propagating in the direction of transverse isotropy and an equation is derived for the phase velocity as a function of wavelength. Expressions are also obtained for the variation of stress through the thickness of the plate. Corresponding results are obtained for the idealized material which is inextensible in the direction of transverse isotropy. These two materials provide possible models for an elastic matrix reinforced by a family of parallel fibres. A comparison of the results shows that the inextensible material behaves quite differently from the anisotropic material in the long-wavelength region.
Mathematics Subject Classification ID: 74J99
Mathematics Subject Classification ID: 74E10
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 74K20
zbMATH DE Number: 3900263
zbMATH Keywords: extensional waves
zbMATH Keywords: infinite plate
zbMATH Keywords: transversely isotropic material
zbMATH Keywords: waves propagating in the direction of transverse isotropy
zbMATH Keywords: phase velocity
zbMATH Keywords: function of wavelength
zbMATH Keywords: variation of stress through the thickness
zbMATH Keywords: idealized material
zbMATH Keywords: inextensible
MaRDI profile type: Publication
full work available at URL: 0020-7683(85)90060-5
OpenAlex ID: W2008221093
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description: scientific article; zbMATH DE number 3900263