Volume of a dislocation network

Abstract

We derive a simple analytical line integral expression for the relaxation volume tensor of an arbitrary interconnected dislocation network. This quantity determines the magnitude of dislocation contribution to the dimensional changes and volumetric swelling of a material, and highlights the fundamental dual role of dislocations as sources of internal strain as well as carriers of plastic deformation. To illustrate applications of the method, we compute the relaxation volume of a stacking fault tetrahedron, a defect commonly occurring in fcc metals; the volume of an unusual tetrahedral configuration formed by the (a/2)<111> and a<001> dislocations in a bcc metal; and estimate the relative contribution of extended dislocations to the volume relaxation of heavily irradiated tungsten.

15 pages, 6 figures

References in corpus (4)

• Dislocation interaction with C in alpha-Fe: a comparison between atomic simulations and elasticity theory
• Parameter-free quantitative simulation of high dose microstructure and hydrogen retention in ion-irradiated tungsten
• Macroscopic elastic stress and strain produced by irradiation
• Elastic effects on relaxation volume tensor calculations

Cited by in corpus (1)

• Dislocation density transients and saturation in irradiated zirconium