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Relationships between grain boundary structure and energy

Journal Article · · Acta Metall.; (United States)
OSTI ID:6911393

The Read-Shockley equation describing the dependence of grain boundary energy on misorientation of grains has been reformulated using the recently developed structural unit model of the atomic structure of grain boundaries so that it is applicable to general high angle boundaries. The boundary energy then consists of the energy of a reference structure, and of the core and elastic energies of the corresponding DSC dislocations. While the latter part of the boundary energy is determined using the elastic theory of dislocations the former two parts are determined on the basis of atomistics of grain boundaries employing the structural unit model. In the framework of this analysis the minimum number of reference structures in a give misorientation range as well as the extent of misorientations related to a given reference structure are determined. The positions of cusps in the energy vs misorientation dependence and their relative depths and extent are also determined. The validity of this model is demonstrated for tilt boundaries studied by atomistic computer simulations.

Research Organization:
The Central Iron and Steel Research Institute, Beijing (CN)
OSTI ID:
6911393
Journal Information:
Acta Metall.; (United States), Journal Name: Acta Metall.; (United States) Vol. 34:5; ISSN AMETA
Country of Publication:
United States
Language:
English