Dispersion relations for the linearized field equations of dislocation dynamics
type: Item
instance of: scholarly article
title: Dispersion relations for the linearized field equations of dislocation dynamics
zbMATH Open document ID: 0662.73026
DOI: 10.1016/0020-7225(88)90034-1
author: Dominic G. B. Edelen
author: Dimitris C. Lagoudas
published in: International Journal of Engineering Science
publication date: 1988-01-01T00:00:00Z
review text: The field equations for a Yang-Mills type gauge theory of dislocations are obtained that describe the anelastic behavior of a partially (hyper) elastic material, due to the presence of dislocation fields. Dispersion relations are calculated for an infinitely extended space-time domain and for the first order approximation (linear) to the field equations. Dispersion of both the longitudinal and transverse elastic waves is observed for sufficiently large wavelengths. Realization of the dispersion curves in a laboratory experiment could result in an actual measurement of the additional material constants, needed for a full description of the constitutive behavior of a deformable body with dislocations, according to the predictions of the theory.
Mathematics Subject Classification ID: 74J20
Mathematics Subject Classification ID: 74A60
Mathematics Subject Classification ID: 74M25
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 81T60
zbMATH DE Number: 4083106
zbMATH Keywords: measuring additional material constants
zbMATH Keywords: defect Lagrangian
zbMATH Keywords: constitutive laws
zbMATH Keywords: decomposition of distortion into elastic and anelastic parts
zbMATH Keywords: field equations for internal fields
zbMATH Keywords: anelastic distortion
zbMATH Keywords: first order approximation
zbMATH Keywords: asymptotic expansion of full nonlinear set of field equations
zbMATH Keywords: Yang-Mills type gauge theory of dislocations
zbMATH Keywords: anelastic behavior
zbMATH Keywords: partially (hyper) elastic material
zbMATH Keywords: dislocation fields
zbMATH Keywords: infinitely extended space-time domain
zbMATH Keywords: longitudinal
zbMATH Keywords: transverse elastic waves
MaRDI profile type: Publication
full work available at URL: 0020-7225(88)90034-1
OpenAlex ID: W2074556571
cites work: A Yang-Mills type minimal coupling theory for materials with dislocations and disclinations
cites work: A gauge theory of dislocations and disclinations
cites work: Boundary tractions in the gauge theory of dislocations and disclinations
cites work: Q5819359
cites work: Q3803878
cites work: Q3335096
cites work: The interaction of kinks and elastic waves
cites work: Q4720944
cites work: Elastic precursor decay and radiation from nonuniformly moving dislocations
description: scientific article; zbMATH DE number 4083106