Dislocation nucleation in the phase field crystal model

Abstract

We use the phase field crystal model to study nucleation of edge dislocations in two dimensions under an applied stress field. A dislocation dipole nucleates under the applied stress, consistent with Burgers vector conservation. The phase field correctly accounts for elastic energy storage prior to nucleation, and for dissipative relaxation during the nucleation event. We show that a lattice incompatibility field is a sensitive diagnostic of the location of the nucleation event, and of the Burgers vector and slip direction of the dislocations that will be nucleated above threshold. A direct calculation of the phase field energy accurately correlates with the nucleation event, as signaled by the lattice incompatibility field. We show that a Schmid-like criterion concerning the resolved stress at the nucleation site correctly predicts the critical nucleation stress. Finally, we present preliminary results for a three-dimensional, body-centered cubic lattice. The phase field allows a direct computation of the lattice incompatibility tensor for both dislocation lines and loops.

arXiv comment8 pages, 7 figures

References in corpus (8)

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Cited by in corpus (6)

• A phase field crystal theory of the kinematics of dislocation lines
• Stress in ordered systems: Ginzburg-Landau type density field theory
• A unified field theory of topological defects and non-linear local excitations
• Homogeneous nucleation of dislocations as a pattern formation phenomenon
• The elastic inclusion problem in the (amplitude) phase field crystal model
• Control of phase ordering and elastic properties in phase field crystals through three-point direct correlation