Acceleration waves in a diatomic solid
type: Item
instance of: scholarly article
title: Acceleration waves in a diatomic solid
zbMATH Open document ID: 0573.73031
DOI: 10.1016/0020-7225(86)90087-X
published in: International Journal of Engineering Science
publication date: 1986-01-01T00:00:00Z
review text: Utilizing Hamilton's variational principle, the nonlinear field equations and the associated boundary conditions are obtained for an elastic diatomic solid. The possibility of propagation of a singular surface in the form of an acceleration wave is investigated, and the explicit expressions of the acoustical tensors and their strong conditions are presented. The existence of six independent waves in such a medium is shown under the conditions stated. Finally, as a simple application, the propagation of acceleration waves in a linear and isotropic diatomic solid is studied and the expressions of wave speeds are obtained.
Mathematics Subject Classification ID: 74J99
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74A60
Mathematics Subject Classification ID: 74M25
zbMATH DE Number: 3915733
zbMATH Keywords: Hamilton's variational principle
zbMATH Keywords: nonlinear field equations
zbMATH Keywords: boundary conditions
zbMATH Keywords: elastic diatomic solid
zbMATH Keywords: propagation of a singular surface
zbMATH Keywords: acceleration wave
zbMATH Keywords: explicit expressions
zbMATH Keywords: acoustical tensors
zbMATH Keywords: strong conditions
zbMATH Keywords: existence of six independent waves
zbMATH Keywords: linear and isotropic diatomic solid
zbMATH Keywords: expressions of wave speeds
author: Hilmi Demiray
MaRDI profile type: Publication
cites work: General and exact theory of waves in finite elastic strain
cites work: Q5583032
cites work: A continuum theory of elastic solids with diatomic structure
cites work: On the nonlinear equations of thermoelectroelasticity
cites work: Q4042716
full work available at URL: 0020-7225(86)90087-x
OpenAlex ID: W2113571547
description: scientific article; zbMATH DE number 3915733