Forces on dislocations and inhomogeneities in the gauge theory of defects
type: Item
instance of: scholarly article
title: Forces on dislocations and inhomogeneities in the gauge theory of defects
zbMATH Open document ID: 0595.73123
DOI: 10.1016/0020-7683(85)90073-3
author: Dominic G. B. Edelen
published in: International Journal of Solids and Structures
publication date: 1985-01-01T00:00:00Z
review text: The forces acting on dislocations in a finite body with applied tractions are concerned within the frame-work of the author's gauge theory of defects [e.g. A gauge theory of dislocations and disclinations (1983; Zbl 0523.73089)]. After a brief summary on the notations, field variables, and the fields equations, the author explores the variational foundation for the calculation of the forces and the rate of work which act on the aspect of the field that is described by the Lagrangian function of a certain form. When the Lagrangian function is given for dislocated materials of finite extent, we give the forces and rate of work that arise from the presence of inhomogeneities. They are composed of the forces and rate of work applied to mass inhomogeneities, those applied to inhomogeneities in the elastic compliance, and those related to the boundary and initial data. Finally, the author gives the forces on dislocations in terms of the effective stress and the effective linear momentum. For infinite bodies, the effective stress and the effective linear momentum agree with the total stress and the total linear momentum, and the negative of Peach-Koehler forces is reproduced.
Mathematics Subject Classification ID: 74A60
Mathematics Subject Classification ID: 74M25
Mathematics Subject Classification ID: 74E05
Mathematics Subject Classification ID: 74A99
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 3958930
zbMATH Keywords: forces of interaction between dislocations and material properties
zbMATH Keywords: spatial and temporal inhomogeneities
zbMATH Keywords: finite body
zbMATH Keywords: tractions
zbMATH Keywords: gauge theory of defects
zbMATH Keywords: effective stress
zbMATH Keywords: effective linear momentum
zbMATH Keywords: infinite bodies
zbMATH Keywords: total stress
zbMATH Keywords: total linear momentum
zbMATH Keywords: negative of Peach-Koehler forces
reviewed by: Sitiro Minagawa
MaRDI profile type: Publication
full work available at URL: 0020-7683(85)90073-3
OpenAlex ID: W2027210950
description: scientific article; zbMATH DE number 3958930