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

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

2011-12-21

arxiv.org/abs/1112.4938v1

Physical Review B 84, 22 (2011) 224111

Physics

Condensed Matter

Materials Science

Scientific paper

10.1103/PhysRevB.84.224111

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.

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