Impact of lattice rotation on dislocation motion

Brent Perreault, Jorge Viñals, Jeffrey M. Rickman

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We introduce a phenomenological theory of dislocation motion appropriate for two-dimensional lattices. A coarse grained description is proposed that involves as primitive variables local lattice rotation and Burgers vector densities along distinguished slip systems of the lattice. We then use symmetry considerations to propose phenomenological equations for both defect energies and their dissipative motion. As a consequence, the model includes explicit dependencies on the local state of lattice orientation, and allows for differential defect mobilities along distinguished directions. Defect densities and lattice rotation need to be determined self-consistently and we show specific results for both square and hexagonal lattices. Within linear response, dissipative equations of motion for the defect densities are derived which contain defect mobilities that depend nonlocally on defect distribution.

Original languageEnglish (US)
Article number014107
JournalPhysical Review B
Volume93
Issue number1
DOIs
StatePublished - Jan 25 2016

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Defects
Defect density
defects
Burgers vector
Crystal lattices
Equations of motion
equations of motion
slip
symmetry
energy
Direction compound

Cite this

Impact of lattice rotation on dislocation motion. / Perreault, Brent; Viñals, Jorge; Rickman, Jeffrey M.

In: Physical Review B, Vol. 93, No. 1, 014107, 25.01.2016.

Research output: Contribution to journalArticle

Perreault, Brent ; Viñals, Jorge ; Rickman, Jeffrey M. / Impact of lattice rotation on dislocation motion. In: Physical Review B. 2016 ; Vol. 93, No. 1.
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