Misorientation dependence of the grain boundary migration rate: role of elastic anisotropy

ABSTRACT

In this work, numerical computations of image forces and stored energy during the growth of a strain free grain within a recovered matrix containing an array of identical dislocations are performed. A decrease of the stored energy is observed when image forces are attractive and an increase when image forces are repulsive. The variation of elastic energy depends closely on the material elastic anisotropy, the number of dislocations in the array and its initial distance to grain boundary. For an array of 20 edge dislocations and the motion of a planar grain boundary over approximately 180 atomic spacing, the magnitude of the energy variation is on the order of one dislocation line energy for Al and six for Cu, which is significant in both cases. Furthermore, by sweeping the whole orientation space for FCC crystals, it is shown that grain boundaries near a $⟨111⟩$ $40{}^{\circ }$ misorientation are among those that can display the highest attractive forces on edge dislocations. Since grain boundary migration is driven by the reduction of stored energy, the results are analysed in light of experimental recrystallization data in FCC metals which show that the fastest moving boundaries are often characterised by misorientation axis around $⟨111⟩$ and misorientation angle close to $40{}^{\circ }$.

KEYWORDS:

• Grain boundaries
• image forces
• dislocations
• recrystallization
• anisotropic elasticity
• Stroh formalism

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

The authors are grateful to the French Ministry of Higher Education and Scientific Research and the French-German University (UFA-DFH) for financial supports. The authors are also grateful to the Agence Nationale de la Recherche (ANR) for financial support under contract ‘DREAM’ (ANR-13-BS09-0001-03).