Dislocation core field. I. Modeling in anisotropic linear elasticity theory

Abstract

Aside from the Volterra field, dislocations create a core field, which can be modeled in linear anisotropic elasticity theory with force and dislocation dipoles. We derive an expression of the elastic energy of a dislocation taking full account of its core field and show that no cross term exists between the Volterra and the core fields. We also obtain the contribution of the core field to the dislocation interaction energy with an external stress, thus showing that dislocation can interact with a pressure. The additional force that derives from this core field contribution is proportional to the gradient of the applied stress. Such a supplementary force on dislocations may be important in high stress gradient regions, such as close to a crack tip or in a dislocation pile-up.

References in corpus (3)

• Dislocation Core Energies and Core Fields from First Principles
• Dislocation core field. II. Screw dislocation in iron
• Elastic energy of a straight dislocation and contribution from core tractions

Cited by in corpus (6)

• Dislocation core field. II. Screw dislocation in iron
• Properties of dislocation drag from phonon wind at ambient conditions
• Electronic-structure study of an edge dislocation in Aluminum and the role of macroscopic deformations on its energetics
• Line tension of a dislocation moving through an anisotropic crystal
• A three dimensional field formulation, and isogeometric solutions to point and line defects using Toupin's theory of gradient elasticity at finite strains
• A general solution for accelerating screw dislocations in arbitrary slip systems with reflection symmetry