Modelling of dislocation structures in materials

J. M. Rickman, Jorge Viñals

Research output: Contribution to journalArticle

37 Citations (Scopus)

Abstract

A phenomenological model of the evolution of an ensemble of interacting dislocations in an isotropic elastic medium is formulated. The line-defect microstructure is described in terms of a spatially coarse-grained order parameter, the dislocation density tensor. The tensor field satisfies a conservation law that derives from the conservation of Burgers vector. Dislocation motion is entirely dissipative and is assumed to be locally driven by the minimization of plastic free energy. We first outline the method and resulting equations of motion to linear order in the dislocation density tensor, obtain various stationary solutions, and give their geometric interpretation. The coupling of the dislocation density to an externally imposed stress field is also addressed, as well as the impact of the field on the stationary solutions.

Original languageEnglish (US)
Pages (from-to)1251-1262
Number of pages12
JournalPhilosophical Magazine A: Physics of Condensed Matter, Structure, Defects and Mechanical Properties
Volume75
Issue number5
DOIs
StatePublished - May 1997
Externally publishedYes

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Tensors
Conservation
tensors
Burgers vector
Dislocations (crystals)
Free energy
Equations of motion
elastic media
Plastics
Defects
Microstructure
conservation laws
stress distribution
conservation
equations of motion
plastics
free energy
microstructure
optimization
defects

Cite this

Modelling of dislocation structures in materials. / Rickman, J. M.; Viñals, Jorge.

In: Philosophical Magazine A: Physics of Condensed Matter, Structure, Defects and Mechanical Properties, Vol. 75, No. 5, 05.1997, p. 1251-1262.

Research output: Contribution to journalArticle

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